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More "Geometry" Quotes from Famous Books



... that number of stores or even so many—we shall then find that the sixty-fourth and last square gives sixteen thousand three hundred and eighty-four cities. Now, you know that there is not in the world a greater number of cities than that, for geometry informs us that the circumference of the globe is eight thousand parasangs; so that, if the end of a cord were laid on any part of the earth, and the cord passed round it till both ends met, we should find the ...
— A Boswell of Baghdad - With Diversions • E. V. Lucas
 
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... King said; "do we want to make telephones or do we not? And sure we can't make telephones without geometry. Hasn't ...
— Fairies and Folk of Ireland • William Henry Frost
 
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... the Trivium, and four of the Quadrivium. The three of the Trivium concerned the use of speech; they were Grammar, Rhetoric, and Logic. The four of the Quadrivium concerned number and measure; they were Arithmetic, Geometry, Music; and Astronomy, which led up straight to God. Advance to Music might be represented in the student's mind by his reaching to a sense of the harmonious relation of all his studies, which, so to speak, lived in his mind as ...
— Essays on Mankind and Political Arithmetic • Sir William Petty
 
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... an unwise educator who, after training the pupil's mind up through geometry, would then put him back to studying the simple branches of mathematics, instead of taking him on into higher mathematics. Likewise the Heavenly Father does not, after partly developing the redeemed, His children, ...
— God's Plan with Men • T. T. (Thomas Theodore) Martin
 
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... don't know: how that happens. In full use of the dialogue, as itself the instrument most [63] fit for him of whatever what we call teaching and learning may really be, Plato, dramatic always, brings in one of Meno's slaves, a boy who speaks Greek nicely, but knows nothing of geometry: introduces him, we may fancy, into a mathematical lecture-room where diagrams are to be seen on the walls, cubes and the like lying on the table—particular objects, the mere sight of which will rouse him when subjected to the dialectical treatment, to universal truths concerning ...
— Plato and Platonism • Walter Horatio Pater
 
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... frictionless fluid as geometers in general are entitled to assume perfect lines without breadth and perfect surfaces without thickness. Perfect lines and surfaces do not exist within the region of our experience; yet the conclusions of geometry are none the less true ideally, though in any particular concrete instance they are only approximately realized. Just so with the conception of a frictionless fluid. So far as experience goes, such a thing has no more real existence than a line ...
— The Unseen World and Other Essays • John Fiske
 
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... knowledge of languages, catastrophes, history, social deportment, and agriculture, plunged instantly into the fray, and gave Zidoc a frightful scratch, which so upset him that it caused him to drop his staff, while the dog profiting by the confusion, and forgetting all about geometry, mathematics, agriculture, and dogma, managed to give Serponel a good bite just above ...
— The Firelight Fairy Book • Henry Beston
 
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... useful variations is not possible. Such, for example, are "the capacity to form ideal conceptions of space and time, of eternity and infinity; the capacity for intense artistic feelings of pleasure in form, colour, and composition; and for those abstract notions of form and number which render geometry and arithmetic possible." "How," he asks, "were all or any of these faculties first developed, when they could have been of no possible use to man in his ...
— Critiques and Addresses • Thomas Henry Huxley
 
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... mathematics than that by which he led the pupils in the Museum; and Euclid, as if to remind him of the royal roads of Persia, which ran by the side of the highroads, but were kept clear and free for the king's own use, made him the well-known answer, that there was no royal road to geometry. ...
— History Of Egypt From 330 B.C. To The Present Time, Volume 10 (of 12) • S. Rappoport
 
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... the tracer. As this is guided round the boundary of the figure a wheel W mounted on QT rolls on the paper, and the turning of this wheel measures, to some known scale, the area. We shall give the theory of this instrument fully in an elementary manner by aid of geometry. The theory of other planimeters ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various
 
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... (d. 575), to whose letters we owe a great part of our knowledge of the period, busied himself in his old age in preparing text-books of the liberal arts and sciences,—grammar, arithmetic, logic, geometry, rhetoric, music, and astronomy. His manuals were intended to give the uninstructed priests a sufficient preparation for the study of the Bible and of the doctrines of the Church. His absurdly inadequate and, to us, silly treatment of these seven important subjects, to which ...
— An Introduction to the History of Western Europe • James Harvey Robinson
 
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... scholars, he had predicted his pupil's subsequent career. In fact, to the name of Bonaparte the following note is added: "a Corsican by birth and character—he will do something great, if circumstances favour him." Menge was his instructor in geometry, who also entertained a high opinion of him. M. Bauer, his German master, was the only one who saw nothing in him, and was surprised at being told he was undergoing his ...
— Memoirs of Napoleon Bonaparte, Complete • Louis Antoine Fauvelet de Bourrienne
 
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... confirmed in his rank and appointed to the flag-ship of Lord Colvill, passing the following winter at Halifax. This was a season of leisure from active professional occupation, and the master employed it in studying geometry, astronomy, and mathematics generally, fitting himself for the highest positions in the navy. For the next ten years he was largely engaged in surveying in Newfoundland, and was present at its capture from the French. Returning to England ...
— Great Men and Famous Women. Vol. 5 of 8 • Various
 
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... pleased with the boy's love of wandering about, collecting "poundstones," "pundips," and other stony curiosities which lay scattered about the adjoining land, he yet enabled him to purchase a few of the necessary books wherewith to instruct himself in the rudiments of geometry and surveying; for the boy was already destined for the business of a land-surveyor. One of his marked characteristics, even as a youth, was the accuracy and keenness of his observation; and what he once clearly saw he never forgot. He began to draw, attempted ...
— Self Help • Samuel Smiles
 
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... exposed in a formal treatise by the indifference of three distinct though consubstantial persons. For the benefit of his Latin readers, his genius submitted to teach the first elements of the arts and sciences of Greece. The geometry of Euclid, the music of Pythagoras, the arithmetic of Nicomachus, the mechanics of Archimedes, the astronomy of Ptolemy, the theology of Plato, and the logic of Aristotle, with the commentary of Porphyry, were translated and illustrated by the indefatigable pen of the Roman ...
— The History of The Decline and Fall of the Roman Empire - Volume 4 • Edward Gibbon
 
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... one can talk about angles when describing an island or even a continent, except in a figurative and flowery fashion. As a teacher of geometry, it is my business to dwell among angles; and the thirty-five boys in my class will bear witness to the fact that my relations with angles, great and small, are above reproach. I admit that there are angles everywhere, and ...
— South Wind • Norman Douglas
 
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... term 'prior' is used with reference to any order, as in the case of science and of oratory. For in sciences which use demonstration there is that which is prior and that which is posterior in order; in geometry, the elements are prior to the propositions; in reading and writing, the letters of the alphabet are prior to the syllables. Similarly, in the case of speeches, the exordium is prior in order to ...
— The Categories • Aristotle
 
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... participles. They will class words as prepositions or conjunctions by memorizing the entire list of each, rather than by thinking the relations that these parts of speech express. Young men and women, likewise, will memorize demonstrations in geometry rather than reason them out, and will memorize other people's opinions rather than attempt to think for themselves. Even though it is often really easier to rely upon one's own power to think than upon memory, it takes some depth of nature to recognize ...
— How To Study and Teaching How To Study • F. M. McMurry
 
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... briefest glance at electro-chemistry should pause to acknowledge its profound debt to the new theories as to the bonding of atoms to form molecules, and of the continuity between solution and electrical dissociation. However much these hypotheses may be modified as more light is shed on the geometry and the journeyings of the molecule, they have for the time being recommended themselves as finder-thoughts of golden value. These speculations of the chemist carry him back perforce to the days of his childhood. As he then joined together ...
— Little Masterpieces of Science: - Invention and Discovery • Various
 
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... thing to die a natural death for all that. Eyes apart, you know." When people begin to make so very few words serve their purpose it shows that their circumferences have intersected—no mere tangents now. A portion of the area of each is common to both. Forgive geometry this intrusion on the story, and ...
— When Ghost Meets Ghost • William Frend De Morgan
 
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... such acts of duty, in order that I may make myself capable of that freedom of moral being, without which heaven would be no heaven to me." Now this very thought tends to annihilate self. For what is a self not distinguished from any other self, but like an individual circle in geometry, uncoloured, and the representative of all other circles. The circle is differenced, indeed, from a triangle or square; so is a virtuous soul from a vicious soul, a soul in bliss from a soul in misery, but no wise distinguished from other souls under the same predicament. That selfishness ...
— Literary Remains (1) • Coleridge
 
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... [10] Geometry (it has been said) would not evade disputation, if a man could find his interest in disputing it: such is the spirit of cavil. But I, upon a very opposite ground, assert that there is not one page of prose that could be selected from the best writer in ...
— Autobiographic Sketches • Thomas de Quincey
 
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... let me make you blind; They have taught you to see Only a mean arithmetic on the face of things, A cunning algebra in the faces of men, And God like geometry Completing his circles, and ...
— Amores - Poems • D. H. Lawrence
 
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... of the explorer, 'and an irresistible inclination for the sea.... His father, seeing the bent of his mind, endeavoured to give him an education suitable for maritime life. He sent him, therefore, to the university of Pavia, where he was instructed in geometry, geography, astronomy and navigation.... He remained but a short time at Pavia, barely sufficient to give him the rudiments of the necessary sciences; the thorough acquaintance with them which he displayed in after-life ...
— The Curse of Education • Harold E. Gorst
 
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... captain of artillery at Berne, Monsieur Louis Bonaparte; you have necessarily a smattering of algebra and geometry. Here are certain axioms of which you have, probably, ...
— Napoleon the Little • Victor Hugo
 
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... classes in a German gymnasium. Accordingly, boys and girls were to attend school from the age of six to that of sixteen years, and, after acquiring the elements, were to be taught grammar, the history of literature, general history, the history of civilisation, physics, natural history, geometry, and algebra. ...
— Freeland - A Social Anticipation • Theodor Hertzka
 
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... you speak like this. It wounds me to hear you apply the dreadful knowledge with which you strip from all things human the properties that time and space and form have given them, and consider them mathematically in the abstract, as geometry treats substances ...
— Seraphita • Honore de Balzac
 
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... one. And that we find, not as we should have expected, because he possessed genius, which would have made success a matter of course in any rank, but because he was so well educated—"having acquired a competent knowledge of French, together with the elements of Latin and Geometry," and before he had composed a single stanza, was "far more intimately acquainted with Pope, Shakespeare, and Thomson, than nine-tenths of the youths who leave school for the university," etc. etc.—in short, because he was so well educated, that his becoming Robert Burns, the ...
— Literary and General Lectures and Essays • Charles Kingsley
 
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... afford the student a certain amount of experience in reading scientific German, but to attack the subject systematically. The selections are not chosen at random. They are arranged progressively and consist of fundamental definitions, descriptions, processes and problems of Arithmetic, Algebra, Geometry, Physics and Chemistry. These are linguistically the most important subjects for scientific and engineering students to read first, because they contain the terms and modes of expression which recur in all subsequent reading, and because they contain these ...
— German Science Reader - An Introduction to Scientific German, for Students of - Physics, Chemistry and Engineering • Charles F. Kroeh
 
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... me believe so, above all, now, is the care that was taken to render me as accomplished a cavalier as possible. The gentleman attached to my person taught me everything he knew himself—mathematics, a little geometry, astronomy, fencing, and riding. Every morning I went through military exercises, and practiced on horseback. Well, one morning during summer, it being very hot, I went to sleep in the hall. Nothing up to that period, except the respect paid me, had enlightened me, or even roused ...
— The Vicomte de Bragelonne - Or Ten Years Later being the completion of "The Three - Musketeers" And "Twenty Years After" • Alexandre Dumas
 
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... it a witty Picture, tho the Painter in the mean time may be in Danger of being called a Fool. On the other hand, a Picture that is thoroughly understood in the Whole, and well performed in the Particulars, that is begun on the Foundation of Geometry, carried on by the Rules of Perspective, Architecture, and Anatomy, and perfected by a good Harmony, a just and natural Colouring, and such Passions and Expressions of the Mind as are almost peculiar to Raphael; this is what you may justly style a wise Picture, ...
— The Spectator, Volumes 1, 2 and 3 - With Translations and Index for the Series • Joseph Addison and Richard Steele
 
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... habits of these people; I cannot help, however, giving my readers a proof of the knowledge which the higher classes among them really possess. I have said that they are good astronomers, and I may add that their intuitive knowledge of geometry is remarkable. I once asked a young chief what he considered the height of a lofty pine. It was in the afternoon, about three o'clock. He walked to the end of the shadow thrown by the pine-tree, and fixed his arrow ...
— Travels and Adventures of Monsieur Violet • Captain Marryat
 
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... the final purpose of such boys (one of whom lately had the audacity nearly to ride down the Duke of Wellington) seems to be— not the translation of mutton, which would certainly find its way into human mouths even if riding boys were not,—but the improved geometry of transcendental curves. They ought to be numbered, ought these boys, and to wear badges—X 10, &c. And exactly the same evil, asking therefore by implication for exactly the same remedy, affects ...
— Narrative And Miscellaneous Papers • Thomas De Quincey
 
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... understand. European scholars will probably smile at the statement that there is a hidden meaning in these words. Most readers will take the verses for nonsense. Reflection, however, has convinced me that yoga is not nonsense. One who has not studied the elements of Geometry or Algebra, cannot, however intelligent, hope to understand at once a Proposition of the Principia or the theorem of De Moivre. Failing to give the actual sense, I have contented myself with giving ...
— The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 3 - Books 8, 9, 10, 11 and 12 • Unknown
 
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... meters long, their pectoral fins gifted with remarkable strength, their caudal fins forked. Like certain flocks of birds, whose speed they equal, these tuna swim in triangle formation, which prompted the ancients to say they'd boned up on geometry and military strategy. And yet they can't escape the Provenal fishermen, who prize them as highly as did the ancient inhabitants of Turkey and Italy; and these valuable animals, as oblivious as if they were deaf and blind, leap right into the Marseilles tuna ...
— 20000 Leagues Under the Seas • Jules Verne
 
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... nobility, and others, under the name of the "Museum Minervae." Sir Francis Kynaston was made the governor with the title of "regent;" Edward May, Thomas Hunt, Nicholas Phiske, John Spidell, Walter Salter, Michael Mason, fellows and professors of philosophy and medicine, music, astronomy, geometry, languages, &c. They had power to elect professors also of horsemanship, dancing, painting, engraving, &c.; were made a body corporate, were permitted to use a common seal, and to possess goods and lands in mortmain. (Pat. 11 Car. ...
— Notes and Queries, Number 78, April 26, 1851 • Various
 
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... method, of an art, and what the source of its power? The whole secret is that no art does "compete with life." Man's one method, whether he reasons or creates, is to half-shut his eyes against the dazzle and confusion of reality. The arts, like arithmetic and geometry, turn away their eyes from the gross, coloured and mobile nature at our feet, and regard instead a certain figmentary abstraction. Geometry will tell us of a circle, a thing never seen in nature: asked about a green circle or an ...
— The Works of Robert Louis Stevenson, Volume 9 • Robert Louis Stevenson
 
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... Litterarum,' contains so much as the author thought that every monk should be acquainted with concerning the four liberal arts—Grammar, Rhetoric, Logic, Mathematics—the last of which is divided into the four 'disciplines' of Arithmetic, Geometry, Music, and Astronomy. As illustrating the relative importance of these sciences (as we call them) as apprehended by Cassiodorus, it is curious to observe that while Geometry and Astronomy occupy only about one page, and Arithmetic and Music two pages each, Logic takes up eighteen pages, Grammar ...
— The Letters of Cassiodorus - Being A Condensed Translation Of The Variae Epistolae Of - Magnus Aurelius Cassiodorus Senator • Cassiodorus (AKA Magnus Aurelius Cassiodorus Senator)
 
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... subjective reaction to a pleasing form. It is the same reaction that prompted artists to use tools as vehicles to help convey lessons in perspective, a frequent practice in 19th-century art manuals. The harmony of related parts—the balance of shaft and handle or the geometry of the twist—makes the auger a decorative object. This is not to say that the ancient woodworker's tool is not a document attesting a society's technical proficiency—ingenuity, craftsmanship, and ...
— Woodworking Tools 1600-1900 • Peter C. Welsh
 
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... here very appropriately used as a type of geometry, that science of which he was so eminent a teacher, and the myth or legend then symbolizes the fact that there was in Egypt a close connection between that science and the great moral and religious system, ...
— The Symbolism of Freemasonry • Albert G. Mackey
 
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... showing that he had the terms stamen, pistil, calix, corolla, capsule, and a host of others at the tip of his tongue; though possibly, had he been called upon to apply each in its proper place, he would have been like a certain student of geometry we once knew, who, by aid of a good memory alone, could demonstrate all Euclid's theorems, without understanding one of them, provided the diagrams were small enough to be hidden by his hand, so you could not detect him in pointing ...
— The Actress in High Life - An Episode in Winter Quarters • Sue Petigru Bowen
 
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... modern languages,—German, French and Italian,—all of very slight value. But the substance of the instruction consisted in learning to translate rather easy Latin and Greek, writing Latin, and courses in algebra and geometry ...
— Autobiography of Seventy Years, Vol. 1-2 • George Hoar
 
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... within his mind, as the bee finds a hive from a thousand sweets gathered from a thousand flowers. He was not only a great poet but a great philosopher. Richard III., Iago, and Falstaff are men who reverse the order of things, who place intellect at the head, whereas it ought to follow, like Geometry, to prove and to confirm. No man, either hero or saint, ever acted from an unmixed motive; for let him do what he will rightly, still Conscience whispers "it is your duty." Richard, laughing at conscience ...
— Shakespeare, Ben Jonson, Beaumont and Fletcher • S. T. Coleridge
 
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... was to hear my name called by this young person the very next morning. She came running up to me at the instant my fingers were on the knob of the sanctum door. Her hands were filled with those little cardboard rhomboids, polyhedrons, prisms and so forth which the freshmen have to make for their geometry work. ...
— Beatrice Leigh at College - A Story for Girls • Julia Augusta Schwartz
 
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... impossible to represent in language anything that 'contradicts logic' as it is in geometry to represent by its coordinates a figure that contradicts the laws of space, or to give the coordinates of a point that ...
— Tractatus Logico-Philosophicus • Ludwig Wittgenstein
 
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... PURE. The branch which investigates and demonstrates the properties of magnitude, figure, or quantity, absolutely and generally considered, without restriction to any species in particular; such as arithmetic and geometry. ...
— The Sailor's Word-Book • William Henry Smyth
 
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... to be in no haste. Slow fire does make sweet malt: how true, how true! Also his next work ought to be a concrete thing; not theory any longer, but deed. Let him "live it," as he says; that is the way to come to "painting of it." Geometry and the art of Design being once well over, take the ...
— The Correspondence of Thomas Carlyle and Ralph Waldo Emerson, - 1834-1872, Vol. I • Thomas Carlyle and Ralph Waldo Emerson
 
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... subsist upon air or odor, that he is forever upon the wing, and never deigns to pick a seed or crumb from the earth? Is he an embodied thought projected from the brain of some mad poet in the dim past, and sent to teach us a higher geometry of curves and spirals? See him with that feather high in air, dropping it and snapping it up again in the very glee of superabundant vitality, and in his sudden evolutions and spiral gambollings seeming more a creature of the imagination than ...
— The Atlantic Monthly, Volume 15, No. 91, May, 1865 • Various
 
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... at the low fee of 1d., and some others specially for females, now include the whole of the following subjects:—English language and literature, English history, French, German, Latin, Greek, and Spanish, algebra, geometry, mensuration, trignometry, and arithmetic, music, drawing, writing, English grammar, and composition, botany, chemistry, experimental physics, practical mechanics, and metallurgy, elementary singing, physical geography, animal physiology, geology, practical plane and solid ...
— Showell's Dictionary of Birmingham - A History And Guide Arranged Alphabetically • Thomas T. Harman and Walter Showell
 
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... you to form your style of Greek on the model of Plato, and of Latin on that of Cicero. Let there be no history you have not at your finger's ends, and study thoroughly cosmography and geography. Of liberal arts, such as geometry, mathematics and music, I gave you a taste when not above five years old, and I would have you now master them fully. Study astronomy, but not divination and judicial astrology, which I consider mere vanities. As for civil law, I would have thee know the digests by heart. You should also ...
— Character Sketches of Romance, Fiction and the Drama - A Revised American Edition of the Reader's Handbook, Vol. 3 • E. Cobham Brewer
 
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... compare the art of mensuration which is used in building with philosophical geometry, or the art of computation which is used in trading with exact calculation, shall we say of either of the pairs that it is ...
— Philebus • Plato
 
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... of lime, carbon, and other what not, to build her fair edifice. The bills flow in upon her thick and fast; she pays out hand over hand: if she had only her woman to build, she might get along, but now come in demands for algebra, geometry, music, language, and the poor brain-bank stops payment; some part of the work is shabbily done, and a crooked spine or weakened lungs are ...
— The Atlantic Monthly, Volume 15, No. 92, June, 1865 • Various
 
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... there are nine), and possibly the shortest proof of the practical (Seidel) formulae. A. Gullstrand (vide supra, and Ann. d. Phys., 1905, 18, p. 941) founded his theory of aberrations on the differential geometry of ...
— Project Gutenberg Encyclopedia
 
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... to quitting school. She was now in the "high room," as it was called, in next to the highest class, and was studying geometry and beginning Caesar. She no longer recited her lessons to the teacher she liked, but to the Principal, a man who belonged, like Mrs. Livery Johnson, to the camp of Thea's natural enemies. He taught school because he was too lazy to work among grown-up people, ...
— Song of the Lark • Willa Cather
 
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... Jessica wished to recite in the same classes as far as could be arranged, and a lively confab ensued as to what would be best to take. They all decided on solid geometry and English reading, as they could be together for these classes, but the rest was not so easy, for Nora, who loathed history, was obliged to take ancient history to complete her history group, the other girls having wisely ...
— Grace Harlowe's Junior Year at High School - Or, Fast Friends in the Sororities • Jessie Graham Flower
 
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... great, but manageable river, a soil fertile without art or labor, inundated without morbid exhalations, and placed between two seas which communicate with the richest countries, it conceives that the inhabitant of the Nile, addicted to agriculture from the nature of his soil, to geometry from the annual necessity of measuring his lands, to commerce from the facility of communications, to astronomy from the state of his sky, always open to observation, must have been the first to pass ...
— The Ruins • C. F. [Constantin Francois de] Volney
 
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... astrology, to divide the ecliptic, and to effect the exact orientation of the Pyramids. Some knowledge of chemistry is implied in their manufacture of porcelain; some knowledge of physiology, pathology, pharmaceutics and surgery, in their division of the medical art; something of geometry in their measurement of land; and something of mechanics in their enormous buildings and monuments. But their great engines were multitudes of laborers, aided by such natural expedients as the lever, the roller, and ...
— The International Magazine, Volume 2, No. 3, February, 1851 • Various
 
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... acquiring that knowledge and those powers of Intellect which are necessary as the 'foundation' of excellence in all professions, rather than the immediate science of 'any'. 'Languages' will engross one or two hours in every day: the 'elements' of Chemistry, Geometry, Mechanics, and Optics the remaining hours of study. After tolerable proficiency in these, we shall proceed to the study of 'Man' and of 'Men'—I mean, Metaphysics and History—and finally, to a thorough examination of the Jewish and Christian ...
— Biographia Epistolaris, Volume 1. • Coleridge, ed. Turnbull
 
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... Christians, and are horrified at any man who does not believe there is a God, are yet absolutely indifferent to what their Lord tells them to do if they would be His disciples? But may not I be in like case without knowing it? Do I meet God in my geometry? When I so much enjoy my Euclid, is it always God geometrizing to me? Do I feel talking with God every time I dwell upon any fact of his world of lines and circles and angles? Is it God with me, every time that the joy of life, ...
— The Elect Lady • George MacDonald
 
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... arm-chair, with his legs crossed, and his head so far in the shadow that one saw only two glowing lights, reflected from the fire on the hearth. He spoke simply, and utterly without emotion; with the manner of a teacher setting forth to a group of scholars an axiom in geometry, he would enunciate such propositions as made the hair of an ordinary person rise on end. And when the auditor had asserted his non-comprehension, he would proceed to elucidate by some new proposition, ...
— The Jungle • Upton Sinclair
 
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... years old. He had a pretty thorough knowledge of arithmetic; but he had never studied algebra or geometry. In Latin he had read four of Cicero's orations, and six books of Virgil's Aeneid. He knew something of the elements of Greek grammar, and had read a ...
— Four Great Americans: Washington, Franklin, Webster, Lincoln - A Book for Young Americans • James Baldwin
 
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... the Linacre lectureship, and attained to scientific distinction, was Henry Briggs, who was appointed lecturer in 1592. He afterwards became Gresham Professor of Geometry and Savilian Professor at Oxford. He took up Napier's discovery of logarithms; the idea of tables of logarithms having 10 for their base, and the calculation of the first table of the ...
— St. John's College, Cambridge • Robert Forsyth Scott
 
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... downwards, through a series of propositions—No. 8 resting upon 7, that upon 5, 5 upon 3—at length reduced you to the elementary axiom, that Two straight lines cannot enclose a space. Now, if space be subjective originally—that is to say, founded (as respects us and our geometry) in ourselves—then it is impossible that two such lines can enclose a space, because the possibility of anything whatever relating to the determinations of space is exactly co-extensive with (and exactly expressed by) our power to conceive it. Being thus able to affirm its impossibility ...
— The Uncollected Writings of Thomas de Quincey—Vol. 1 - With a Preface and Annotations by James Hogg • Thomas de Quincey
 
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... insisted I should study and improve my education every evening since we had been cast away. Then he wanted to know all about what you had taught me, and how much I knew; and I told him that you had been teaching me arithmetic, geometry, algebra, trigonometry, geography, and navigation; and that last word surprised him, I can tell you. It was amusing to see how interested he at once became; he wanted to know just how much I knew about navigation; and he would hardly believe ...
— The Strange Adventures of Eric Blackburn • Harry Collingwood
 
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... executed mathematical diagram illustrating a proposition in Euclid, should we really be satisfied with the statement that it represented the random pencil-strokes made by a blindfolded child ignorant of geometry? On the other hand, if a fretful baby is allowed to divert himself by hammering the piano keys, is the result ever remotely akin to a tune? We know perfectly well that we never get harmony, order, beauty, rationality ...
— Problems of Immanence - Studies Critical and Constructive • J. Warschauer
 
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... to which, before his time, so little attention was paid by artists, that the figures often appeared to be slipping off the canvas, and the buildings had not a true point of view. He was one of the first who revived the Greek practice of rendering the precepts of geometry subservient to the painter; for this purpose, he studied with the famous geometrician Toscanelli, who was also the instructor, friend, and counsellor of Columbus. Filippo pursued his investigations until he brought ...
— Anecdotes of Painters, Engravers, Sculptors and Architects and Curiosities of Art (Vol. 3 of 3) • S. Spooner
 
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... have always possessed very little. And liking for study, none whatever. Sacred history, or any other history, Latin, French, rhetoric and natural history have interested me not at all. The only subjects for which I cared somewhat, were geometry and physics. ...
— Youth and Egolatry • Pio Baroja
 
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... at the college Mazarin, and surprised his Jansenist teachers by his brilliance and precocity. They believed him to be a second Pascal; and, doubtless to complete the analogy, drew his attention away from his theological studies to geometry. But they calculated without their host; for the young student suddenly found out his genius, and mathematics and the exact sciences henceforth became his absorbing interests. He studied successively ...
— Library of the World's Best Literature, Ancient and Modern, Vol. 1 • Charles Dudley Warner
 
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... and fear, when I come to Paris, that I shall be forced to pretend that I have had the gout in my understanding. My spirits, such as they are, will not bear translating; and I don't know whether I shall not find it the wisest part I can take to fling myself into geometry, or commerce, or agriculture, which the French now esteem, don't understand, and think we do. They took George Selwyn for a poet, and a judge of planting and dancing-. why may I not pass for a learned ...
— The Letters of Horace Walpole Volume 3 • Horace Walpole
 
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... Shakespeare, and Burns, Aesop's "Fables," Bunyan's "Pilgrim's Progress," and "Robinson Crusoe." He read a history of the United States and a life of Washington, and he learned by heart the statutes of the State of Indiana. Moreover, he studied without guidance algebra and geometry. It is said that later in life, when his political career was beginning, he continued his studies even more seriously and attempted to master ...
— The French in the Heart of America • John Finley
 
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... although all these are comprehended under it; but it is a system founded on a few radical principles, which are exhibited in the shape of axioms and definitions, and unfolded, by rigorous logical deduction, in a series of propositions, with occasional scholia and corollaries, after the method of Geometry; a system which undertakes to explain the rationale of every part of human knowledge, to interpret alike the Book of Nature and the Book of Revelation, to determine the character of prophetic inspiration, and to account for ...
— Modern Atheism under its forms of Pantheism, Materialism, Secularism, Development, and Natural Laws • James Buchanan
 
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... transmontane regions, but moist green masses of verdure, seldom parched even in the dry season, and in the wet, glistening with a thousand cascades; not severely conical or rectangular, like the bizarre eminences which cover Cape Colony with the models of a school of geometry, but nobly outlined. Many of the foothills, it is true, are mere heaps of rock and stone; but even these are rarely such naked and uncompromising piles as are found on the higher levels. Even where northern Natal occasionally widens and subsides to a savannah, as it does below the Biggarsberg, ...
— History of the War in South Africa 1899-1902 v. 1 (of 4) - Compiled by Direction of His Majesty's Government • Frederick Maurice
 
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... I tell you, all these ancient Indians. They invented the game of chess, and the Greeks went among them to learn geometry. ...
— Voltaire's Philosophical Dictionary • Voltaire
 
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... thus led, through our search for beauty, into the temple of Geometry, the most ancient and venerable of sciences. From her oracles alone can we learn the generation of beauty, so far as it ...
— Atlantic Monthly, Vol. 5, No. 30, April, 1860 • Various
 
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... geometry and mathematics, and possessed of considerable theoretical knowledge of military architecture, Father Griffen had given most excellent advice to the successive governors of Martinique on the ...
— A Romance of the West Indies • Eugene Sue
 
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... differences, notably because of the especial development of that peculiar characteristic of the West, mathematical astronomy, conditioned by the almost accidental conflux of Babylonian arithmetical methods with those of Greek geometry. However, the lines are surprisingly similar, with the exception only of the crucial invention of the escapement, a feature which seems to be replaced by the influx of ideas ...
— On the Origin of Clockwork, Perpetual Motion Devices, and the Compass • Derek J. de Solla Price
 
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... to begin with those broad truths that must underlie all conceivable mental existences and establish a basis on those. The great principles of geometry, to begin with. He proposed to take some leading proposition of Euclid's, and show by construction that its truth was known to us, to demonstrate, for example, that the angles at the base of an isosceles ...
— The First Men In The Moon • H. G. Wells
 
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... overflowed, it is reasonable to suppose that they made use of this science to determine their lands, and to make out their several claims, at the retreat of the waters. Many indeed have thought, that the confusion of property, which must for a while have prevailed, gave birth to practical [199]geometry, in order to remedy the evil: and in consequence of it, that charts and maps were first delineated in this country. These, we may imagine, did not relate only to private demesnes: but included also the course of the Nile in its various branches; ...
— A New System; or, an Analysis of Antient Mythology. Volume II. (of VI.) • Jacob Bryant
 
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... unusual facilities—for a woman—for acquiring knowledge; and especially for becoming acquainted with the abstruse sciences. Of these facilities she availed herself with commendable earnestness; and at an early age she had made herself mistress of both Geometry and Astronomy, as far as either science was then understood or taught in any of the schools. As is the case with less profound natures, the mind grew on what it fed upon; reasoning, and the elucidation of knotty mathematical ...
— Woman: Man's Equal • Thomas Webster
 
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... conscious that knowledge is independent of time, that truth is not a thing of yesterday or tomorrow, but an 'eternal now.' To the 'spectator of all time and all existence' the universe remains at rest. The truths of geometry and arithmetic in all their combinations are always the same. The generations of men, like the leaves of the forest, come and go, but the mathematical laws by which the world is governed remain, and seem as if they could never change. The ...
— Timaeus • Plato
 
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... report for your geometry lesson," went on the professor. "I need the laboratory now for a class in physics. Just tell the janitor to come here and sweep up the broken glass. I am very glad neither of you boys was seriously injured. You must be more ...
— Through Space to Mars • Roy Rockwood
 
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... justified the encomiums of my host of the town. Over the wine I made sure that my entertainer would have loosened the chain which seemed to tie his tongue—but no! I endeavoured to tempt him by various topics, and talked of geometry and the use of the globes, of the heavenly sphere, and the star Jupiter, which I said I had heard was a very large star, also of the evergreen tree, which, according to Olaus, stood of old before the heathen temple of Upsal, and which I affirmed was a yew—but no, nothing that I said could ...
— Lavengro - The Scholar, The Gypsy, The Priest • George Borrow
 
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... were in two parts, the trivium —grammar, rhetoric, and logic, and the quadrivium— music, astronomy, geometry, and arithmetic. These were the seven liberal arts. A fresco in a chapel in the Church of S. Maria Novella at Florence illustrates these arts. On the right of the cartoon is the figure of grammar; beneath is Priscian. For the study of this subject John Garland recommended Priscian ...
— Old English Libraries, The Making, Collection, and Use of Books • Ernest A. Savage
 
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... whom stormy waters threw, With fellow-sufferers by the shipwreck spared, Upon a desert coast, that having brought To land a single volume, saved by chance, 145 A treatise of Geometry, he wont, Although of food and clothing destitute, And beyond common wretchedness depressed, To part from company and take this book (Then first a self-taught pupil in its truths) 150 To spots remote, and draw his diagrams With a long staff upon the sand, and thus Did oft beguile his ...
— The Poetical Works of William Wordsworth, Vol. III • William Wordsworth
 
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... the universal consciousness, find interpreters in the men of genius; through them the moral and religious ideas of an epoch take form, and crystallize themselves in poetry and the arts—as the laws of the divine geometry are realized in the crystallizations of minerals. Poetry and the arts may be regarded as the sum of the absolute truths to the conception of which the masses have risen at any given period in the life of ...
— The Continental Monthly, Vol. 4, No. 5, November, 1863 • Various
 
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... brains to be so perfect that their functions are always accordant with true reasoning, so self-prompting, that a hint of the problem is all they ask to arrive at its demonstration. Blaise Pascal, when a boy of twelve, whose education had been carefully restrained, once asked his father what is geometry. The latter replied that it is a method devised to draw figures correctly, but forbade any further inquiry about it. On this hint Pascal, by himself, unassisted, without so much as knowing the name of a line or circle, reached ...
— The Religious Sentiment - Its Source and Aim: A Contribution to the Science and - Philosophy of Religion • Daniel G. Brinton
 
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... to come. The interval between the two schools he passed at Cuddesdon, working some ten hours a day at his hardest, riding every day with Denison, and all of them in high spirits. But optics, algebra, geometry, calculus, trigonometry, and the rest, filled him with misgivings for the future. 'Every day I read, I am more and more thoroughly convinced of my incapacity for the subject.' 'My work continued and my reluctance to exertion increased with it.' For the Sunday before the examination, ...
— The Life of William Ewart Gladstone, Vol. 1 (of 3) - 1809-1859 • John Morley
 
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... said the school-teacher gravely, "that I can show him how to read a little Latin and do a little geometry, but he knows as much in one day as I shall ever know ...
— A Village Stradivarius • Kate Douglas Wiggin
 
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... learning when at school, I took Cocker's book of arithmetic, and went through the whole by myself with great ease. I also read Seller's and Shermy's books of navigation, and became acquainted with the little geometry they contain; but never proceeded far in that science. And I read about this time Locke On Human Understanding, and the Art of Thinking, by Messrs. du ...
— Children's Literature - A Textbook of Sources for Teachers and Teacher-Training Classes • Charles Madison Curry
 
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... wooden letters, and by application and force of character became learned in all the learning of his time. Is this a real anticipation of the use of raised letters for the blind? What would be the use of a knowledge of the alphabet so acquired in obtaining that skill in geometry, rhetoric, arithmetic, and music for which he was famous? He owed to Athanasius his position as head of the Catechetical ...
— Game and Playe of the Chesse - A Verbatim Reprint Of The First Edition, 1474 • Caxton
 
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... detected, the inferences drawn, and the several conclusions adjusted to their proper principles. Truth is disputable; not taste: what exists in the nature of things is the standard of our judgement; what each man feels within himself is the standard of sentiment. Propositions in geometry may be proved, systems in physics may be controverted; but the harmony of verse, the tenderness of passion, the brilliancy of wit, must give immediate pleasure. No man reasons concerning another's beauty; but frequently concerning the justice or injustice of his actions. In every criminal ...
— An Enquiry Concerning the Principles of Morals • David Hume
 
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... said Paresi admiringly. "But don't forget that geometry is an artificial school, based on arbitrary axioms. It just doesn't work where the shortest distance is not a straight line.... I'd suggest we gather ...
— Breaking Point • James E. Gunn
 
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... the mind caught infinite calculations carried into infinity; an apotheosis of geometry compassing the rhythms of unknown spatial dimensions; concentration of the equations of ...
— The Metal Monster • A. Merritt
 
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... devoted to the study of six books of Euclid, Algebra to the end of Quadratic Equations, and Trigonometry to the end of the solution of Plain Triangles. In the second year the course included a repetition of all the first year work, Analytic Geometry, Differential and Integral Calculus, and Logic, consisting of Fallacies, Induction and "a sketch of a system of Philosophy of the Human Mind." The work of the third or final year was in Physics, Astronomy, and Ethics, principally "Butler's ...
— McGill and its Story, 1821-1921 • Cyrus Macmillan
 
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... yet so true as in Holland. The old quartos we have received from the seventeenth and former half of the eighteenth centuries will ever remain marvels of literalism gone mad. They were gotten up like a geometry, with theorems and propositions, followed by a lengthy array of texts transcribed without one word of comment. The sermons published at that time were divided and subdivided, their appearance being similar to a page of a dictionary. They were interlarded with Latin, Greek, and Hebrew letters and ...
— History of Rationalism Embracing a Survey of the Present State of Protestant Theology • John F. Hurst
 
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... the last resort, by the displacement of material particles. Thus, sound, light, heat, electricity, and even the nervous influx would be due to vibratory movements, varying only by their direction and their periods, and all nature is thus explained as a problem of animated geometry. This last theory, which has proved very fertile in explanations of the most delicate phenomena of sound and light, has so strongly impressed many minds that it has led them to declare that the explanation of phenomena by the laws of mechanics alone has the character ...
— The Mind and the Brain - Being the Authorised Translation of L'me et le Corps • Alfred Binet
 
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... which had happened, and the king used to send men to examine and to find out by measurement how much less the piece of land had become, in order that for the future the man might pay less, in proportion to the rent appointed: and I think that thus the art of geometry was found out and afterwards came into Hellas also. For as touching the sun-dial 91 and the gnomon 92 and the twelve divisions of the day, they were learnt by the Hellenes from ...
— The History Of Herodotus - Volume 1(of 2) • Herodotus
 
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... will hurry off to the "schools," a set of low-roofed buildings between St. Mary's and Brasenose. There he will find the Divinity "school" or lecture-room in the place of honour, with Medicine on one hand and Law on the other; the lecture- rooms for grammar, rhetoric, logic, arithmetic, music, geometry, and astronomy, for metaphysics, ethics, and "the tongues," stretching down School Street on either side. Here the Praelectors are holding forth, and all newly made Masters of Arts are bound to teach their subject regere scholas, whether they like it or not. Our friend, ...
— Oxford • Andrew Lang
 
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... trenches, Briton and Indian on their way up the slope to the Ridge. How they passed the crest without being decimated by a curtain of fire would be a mystery if there were any mysteries in this war, where everything seems to be worked out like geometry or chemical formulae. The German artillery being busy withdrawing heavy guns and the other guns preoccupied after the startling results of an attack not down on the calendar for that day did not have time to ...
— My Second Year of the War • Frederick Palmer
 
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... subject—that much I wish to convey—but I choose "problem" because I wish to connote the fact that the theme of a playlet is more than a subject: it is precisely what a problem in mathematics is. Given a problem in geometry, you must solve it—from its first statement all the way through to the "Q.E.D." Each step must bear a plain and logical relation to that which went before and what follows. Your playlet theme is your problem, and you must choose for a theme or subject only such a problem ...
— Writing for Vaudeville • Brett Page
 
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... orphans receiving instruction is three hundred and one; they are cleanly and comfortably lodged, and well-boarded; their ages average from ten to fourteen and a half, and the upper classes of the school are taught conic sections, geometry, chemistry, natural philosophy, navigation, ...
— Lands of the Slave and the Free - Cuba, The United States, and Canada • Henry A. Murray
 
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... Apuleius was sent to school at Carthage (Florida 18), whence on attaining to manhood he proceeded to complete his education at Athens (Florida loc. cit.). There he studied philosophy, rhetoric, geometry, music, and poetry (Florida 20), and laid the foundations of that encyclopaedic, if superficial knowledge, which in after years he so delighted to parade. On leaving Athens he set forth on lengthy travels, in the course of which he spent a large portion of his patrimony ...
— The Apologia and Florida of Apuleius of Madaura • Lucius Apuleius
 
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... six o'clock, the barometer showed an elevation of 26,400 feet, or five miles to a fraction. The prospect seemed unbounded. Indeed, it is very easily calculated by means of spherical geometry, what a great extent of the earth's area I beheld. The convex surface of any segment of a sphere is, to the entire surface of the sphere itself, as the versed sine of the segment to the diameter of the sphere. ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe
 
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... neither entirely identical with Knowledge or Opinion (for then all would have been Judicious), nor is it any one specific science, as medical science whose object matter is things wholesome; or geometry whose object matter is magnitude: for it has not for its object things which always exist and are immutable, nor of those things which come into being just any which may chance; but those in respect of which a man ...
— Ethics • Aristotle
 
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... trousers, and had already renounced all infantile games. The dangling crows which illustrated the pages of his Burnouf grammar were all dated the previous year, and he had entirely renounced feeding silkworms in his desk. Everything pointed to his not being a very practical man. Geometry disgusted him, and as for dates, he could not remember one. On holidays he liked to walk by himself through quiet streets; he read poems at the bookstalls, and lingered in the Luxembourg Gardens to see the sun set. Destined to be a dreamer and a sentimentalist—so ...
— Serge Panine • Georges Ohnet
 
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... the frontiers. He used to bring his tutors with him and have two of them sit on each side of him a little behind him. Then, after the shows had started, he would put a tablet on his knee and write a theme or work out a problem in geometry and when he had finished it, would pass it to one of his tutors for comment, or he would have them make out sets of questions on history or something else and he would write out the answers the best he could. Sometimes he would read. All this he did as calmly as if he were ...
— The Unwilling Vestal • Edward Lucas White
 
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... my brother left home to go on his next voyage. I easily passed in, as I knew all the simple rules of arithmetic thoroughly, and was pretty well up in decimals. Having learned from my brother that the use of logarithms and the first principles of geometry would soon be taught me at school, with his help I had at once set to work on them, and after he went away I continued my studies in the evenings when other boys were at play, so that I quickly mastered ...
— The Two Whalers - Adventures in the Pacific • W.H.G. Kingston
 
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... they were taught to compute by means of progressive rows of pebbles, bits of bone or ivory, or pieces of silver coin, used as counters. The same board, strewn over with sand, was used for teaching the rudiments of writing and the principles of geometry. The Romans subsequently adopted the Abacus, dividing it by means of perpendicular lines or bars, and from the designation of calculus which they gave to each pebble or counter employed on the board, we have derived our English word to calculate. The same instrument continued to be employed ...
— Industrial Biography - Iron Workers and Tool Makers • Samuel Smiles
 
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... obtained some inkling of mathematics, whereupon he became so much interested in this branch of science, that he begged to be allowed to study geometry. In compliance with his request, his father permitted a tutor to be engaged for this purpose; but he did so with reluctance, fearing that the attention of the young student might thus be withdrawn ...
— Great Astronomers • R. S. Ball
 
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... he was yet inferior to his contemporary Galilaeo, perhaps even to Kepler. Bacon pointed out at a distance the road to true philosophy: Galilaeo both pointed it out to others, and made himself considerable advances in it. The Englishman was ignorant of geometry: the Florentine revived that science, excelled in it, and was the first that applied it, together with experiment, to natural philosophy. The former rejected, with the most positive disdain, the system of Copernicus: the latter fortified it with new proofs, ...
— The History of England in Three Volumes, Vol.I., Part D. - From Elizabeth to James I. • David Hume
 
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... native State, and an old chum at the Point assured him he could coach young Sandy through the preliminary, and indeed he did. Sandy scraped in after six months' vigorous work, managed to hold his own through the first year's tussle with algebra and geometry, which he had studied hard and faithfully before, was a pet in his class, and the pride and joy of his mother's and sister's heart in yearling camp, where he blossomed out in corporal's chevrons and made as natty and active a first sergeant as could be found while ...
— Ray's Daughter - A Story of Manila • Charles King
 
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... mathematicians. Classical, like Modern astronomy, had its two sides,—the instrumental and the mathematical. On the instrumental side was the invention of graduated instruments for the determination of the positions of the heavenly bodies; on the mathematical, the development of geometry and trigonometry for the interpretation of those positions when thus determined. Amongst the great names of this period are those of Eudoxus of Knidus (B.C. 408-355), and Hipparchus of Bithynia, who ...
— The Astronomy of the Bible - An Elementary Commentary on the Astronomical References - of Holy Scripture • E. Walter Maunder
 
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... search for the secret of Michael Angelo's design, and how he found it in the rhythm of two planes rather than four, the Greek composition. This system of tormented form is one way of referring the body to the geometry of an imagined ...
— The Psychology of Beauty • Ethel D. Puffer
 
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... when the time came, was to bear fruit in no measured amount. And Boethius is the name associated with the scheme of higher education that preceded the University teaching, called the quadrivium, or quadruple group of subjects, namely, Arithmetic, Geometry, Music and Astronomy. This, together with the trivium, or preparatory group of three subjects—Grammar, Rhetoric, and Logic—constituted what was known as the seven liberal arts; but, in the darkest ...
— Practical Essays • Alexander Bain
 
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... lopping off redundant branches, to recall the growth of trees to sound orthopedic principles, and to reduce that wilderness of impertinent forms, wherewith nature has disfigured her own productions, into the figures of pure geometry! Hither, into this out-of-doors drawing-room, at the fashionable hour of four P.M., are poured out, from the embouchures of all the hotels, all the inhabitants of them; all the tailor's gentlemen of the Boulevard des Italiens, and all ...
— Blackwoods Edinburgh Magazine, Volume 59, No. 365, March, 1846 • Various
 
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... his play lessons were to be used marks his purpose. No books are to be seen in a kindergarten, because no ideas or facts are presented to the child that he cannot clearly understand and verify. The object is not to teach him arithmetic or geometry, though he learns enough of both to be very useful to him hereafter; but to lead him to discover truths concerning forms and numbers, lines and angles, ...
— Children's Rights and Others • Kate Douglas Smith Wiggin
 
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... Aristotle, the scientific analyst of human thought and the philosopher of its proper expression, called "poetic justice." He strove to make his reasoning processes strictly logical, and to this end carried with him as he rode the legal circuit not law-books, but a copy of Euclid's geometry, and passed his time on the way demonstrating to his drivers the theorems therein proposed. "Demonstrate" he said he considered to be the greatest word in the English language. He constructed every one of his later ...
— The Poets' Lincoln - Tributes in Verse to the Martyred President • Various
 
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... written at the same time by Gerbert, who later on became Pope Sylvester II., to a friend, beseeching him to obtain for him manuscripts of the Latin philosophers and poets. He wrote textbooks of astronomy, geometry and medicine, and introduced the Arabic numbers and the decimal system into Europe. In consequence he, too, was accused of magic and intercourse with Arabian pagans. A chronicler relates that he sold his soul to the devil and became pope through the devil's agency; and that, ...
— The Evolution of Love • Emil Lucka
 
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... too to learn Greek, which had lately been introduced into the University, and to improve his Latin style. He also wrote verses, as was beginning to be the fashion with young men, and worked out problems in arithmetic and geometry, while, after his regular work was done, he would carry a French or Latin chronicle to his small window, and pore over the history of bygone times. In his spare moments he would play some old music on the flute or practise ...
— The Red Book of Heroes • Leonora Blanche Lang
 
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... of his wife, to the mayor and corporation of the city and to the wardens and commonalty of the Mercers' Company in equal moieties in trust (inter alia) for the maintenance of seven lectures on the several subjects of Divinity, Astronomy, Music, Geometry, Law, Physic and Rhetoric. In 1596 these two corporate bodies came into possession of the property, and in the following year drew up ordinances for the regulation of the various lectures. According to the terms ...
— London and the Kingdom - Volume I • Reginald R. Sharpe
 
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... reasonably destroyed the notion? This, viz., the sublimity of His moral system. But does the reader imagine that this sublimity is of a nature to be seen intellectually—that is, insulated and in vacuo for the intellect? No more than by geometry or by a sorites any man constitutionally imperfect could come to understand the nature of the sexual appetite; or a man born deaf could make representable to himself the living truth of music, a man born blind could make representable the living truth of colours. All ...
— The Posthumous Works of Thomas De Quincey, Vol. 1 (2 vols) • Thomas De Quincey
 
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... his mind matures. A doctrine is a practical and definite thing to work with; in later life to believe, and to approve of, or disbelieve, and disapprove of. If a man wishes to build a house, does it fetter him to know square measure, cubic contents, geometry, mensuration, and mechanical laws? Yet when he builds his house, he builds it in his own individual way; he stamps it with his own personality and ideas. While building it, perchance, he discovers some new relation ...
— The Warriors • Lindsay, Anna Robertson Brown
 
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... which new truths were most successfully discovered, and old fallacies most signally routed, did not prevent Turgot from appreciating the ages of criticism and their services to knowledge. He does full justice to Alexandria, not only for its astronomy and geometry, but for that peculiar studiousness 'which exercises itself less on things than on books; whose strength lies less in producing and discovering, than in collecting and comparing and estimating what has been produced and discovered; which does not press forward, but gazes backward along ...
— Critical Miscellanies (Vol. 2 of 3) - Turgot • John Morley
 
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... of the sect, being men of culture, set great store by education, from which, however, they excluded (as it would appear) both the Artistic and the Intellectual elements of the superior instruction of the time, namely, Music, and the Sciences of Geometry, Astronomy, &c. Plato's writings and teachings were held in low esteem. Physical training, self-denial and endurance, and literary or Rhetorical cultivation, comprise the items taught by Diogenes when he became a slave, and was made tutor to the ...
— Moral Science; A Compendium of Ethics • Alexander Bain
 
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... had enrolled him amongst his pages and taught him all manner of knightly exercises. He even was versed in the art of chess-playing, and thus whiled away many a wet and gloomy day for his master, and for his daughter the fair Felice, learned in astronomy, geometry, and music, and in all else that professors from the schools of Toulouse and Spain could teach ...
— The Red Romance Book • Various
 
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... another half of Descartes' system, equally important, or nearly so: we mean the deductive method. His eminence as a mathematician is universally recognized. He was the first to make the grand discovery of the application of algebra to geometry; and he made this at the age of twenty-three. The discovery that geometrical curves might be expressed by algebraical numbers, though highly important in the history of mathematics, only interests us here by leading us to trace his philosophical development. He was deeply ...
— The Great Events by Famous Historians, Volume 11 • Various
 
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... or text. The trial came off in the presence of experts, and in April 1864 they pronounced that his imitations could not be distinguished from originals. In those days there was a famous mathematician whose name was Chasles. He was interested in the history of geometry, and also in the glory of France, and a clever genealogist saw his opportunity. He produced letters from which it appeared that some of Newton's discoveries had been anticipated by Frenchmen who had ...
— Lectures on the French Revolution • John Emerich Edward Dalberg-Acton
 
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... human action becomes the principle of science; and, like all new principles, it pretends to exclusive and absolute dominion. Rationalism governs; abstract philosophy ignores the traditions and the requirements of the life of nations; and finds now in it, as in geometry, nothing but principles and deductions. The memory of recent oppression causes us to act as Tarquin did, and to level down the higher classes instead of elevating the inferior. Liberty and equality then govern by their negative ...
— Principles Of Political Economy • William Roscher
 
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... yet false; if a man says twice five is seven, and you take his word for it without checking the sum, he will naturally deduce that four times five is fourteen, and so on ad libitum. This is the way that weird geometry proceeds: it sets before beginners certain strange assumptions, and insists on their granting the existence of inconceivable things, such as points having no parts, lines without breadth, and so on, builds on these rotten foundations a superstructure equally rotten, and pretends ...
— Works, V2 • Lucian of Samosata
 
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... little about them that he takes no notice of Napier's invention of Logarithms. He was not able to trace how the direct information of the senses might be rightly subordinated to the rational, but not self-evident results of geometry and arithmetic. He was impatient of the subtleties of astronomical calculations; they only attempted to satisfy problems about the motion of bodies in the sky, and told us nothing of physical fact; they gave us, as Prometheus gave to Jove, ...
— Bacon - English Men Of Letters, Edited By John Morley • Richard William Church
 
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... same with the ingenerable and Boundless Power, and not one single whit inferior to that ingenerable, unchangeable and Boundless Power. But if it remain in potentiality only, and its imaging is not perfected, then it disappears and perishes, he says, just as the potentiality of grammar or geometry in a man's mind. For potentiality when it has obtained art becomes the light of generated things, but if it does not do so an absence of art and darkness ensues, exactly as if it had not existed at all; and on the death of the man ...
— Simon Magus • George Robert Stow Mead
 
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... Arian preacher, born at a little village of Berwickshire, in 1734. His father was only a keeper of cattle, and intended James for the same profession. He, meanwhile, having obtained the loan of some books on mathematics, made himself master of geometry and trigonometry, and afterwards taught these sciences, with other branches of mathematics, and assisted some public authors in compiling mathematical works, which have been well received. He joined a party of the ancient Cameronians, and in 1769, at one of their general meetings, was called ...
— The Book of Religions • John Hayward
 
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... no doubt about it. This was the Ladies' Gallery of the British House of Commons, and a pretty place it is to which to invite ladies. I never was good at geometry and that sort of thing, and cannot say how many feet or how many furlongs the gallery is in length, but I counted fourteen chairs placed pretty close together, and covered with a hideous green damask. There are three rows of chairs, the two back rows being raised ...
— Faces and Places • Henry William Lucy
 
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... over. soar, to mount upward. role, a part performed. stake, a pointed stick. sign, a token; a mark. steak, a slice of flesh. sine, a line in geometry. step, a pace; a foot-print. skull, part of the head. steppe, a dreary plain. scull, to impel a boat. stoop, to bend forward. sleeve, an arm cover. stoup, a basin; a pitcher. sleave, untwisted silk. sum, the amount; whole. ...
— McGuffey's Eclectic Spelling Book • W. H. McGuffey
 
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... hitherto undiscovered by any excepting himself, and for which he expects a Patent from Trinity College, Dublin; or, at any rate, from Squire Johnston, Esq., who paternizes many of the pupils; Book-keeping, by single and double entry—Geometry, Trigonometry, Stereometry, Mensuration, Navigation, Guaging, Surveying, Dialling, Astronomy, Astrology, Austerity, Fluxions, Geography, ancient and modern—Maps, the Projection of the Sphere—Algebra, the Use of the Globes, Natural and Moral Philosophy, Pneumatics, Optics, Dioptics, Catroptics, ...
— The Hedge School; The Midnight Mass; The Donagh • William Carleton
 
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... beauty alone that he lives. He has related his search for the secret of Michael Angelo's design, and how he found it in the rhythm of two planes rather than four, the Greek composition. This system of tormented form is one way of referring the body to the geometry of an imagined rectangular block ...
— The Psychology of Beauty • Ethel D. Puffer
 
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... we do in geometry, for the sake of argument, that the Fulda manuscript and the Berlin fragment were both written about the year 500—a date representing, roughly speaking, the middle point in the period of about one hundred years which separates the extreme limits of the dates ...
— A Sixth-Century Fragment of the Letters of Pliny the Younger • Elias Avery Lowe and Edward Kennard Rand
 
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... flight of birds portended, and acquired the art of calling up spirits from hell; and, in short, whatever—hurtful or healthful—human curiosity had discovered, besides the lawful sciences of arithmetic and astronomy, music and geometry"; how he acquired from the Saracens the abacus (a counting table); how he escaped from the Moslem magician, his tutor, by making a compact with the foul fiend, and putting himself beyond the power of magic, by hanging himself under a wooden bridge so as to touch neither earth ...
— Hereward, The Last of the English • Charles Kingsley
 
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... his little do the work of more; but a person without any is in more danger of making his no knowledge do the work of some. Take the speculations on the tides as an instance. Persons with nothing but a little geometry have certainly exposed themselves in their modes of objecting to results which require the higher mathematics to be known before an independent opinion can be formed on sufficient grounds. But persons with no geometry at all have done the same thing ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan
 
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... possible. From this ideal world proceeds the metaphysical world of eternal intelligences (mundus mentalis), including the angels, the world-soul, and human spirits. The third product is the mathematical world of space (mundus sempiternus), the object of geometry; the fourth, the temporal or corporeal world; the fifth, and last, the empirical world (mundus situalis), in which everything appears at a definite point in space and time. All things not only love themselves and seek the conservation of their own being, but strive back ...
— History Of Modern Philosophy - From Nicolas of Cusa to the Present Time • Richard Falckenberg
 
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... alphabetical writing from Phoenicia. Along with the fine wheat, and embroidered linen, and riches of the farther Indias which came from Egypt, there came, also, into Greece some knowledge of the sciences of astronomy and geometry, of architecture and mechanics, of medicine and chemistry; together with the mystic wisdom of the distant Orient. The scattered rays of light which gleamed in the eastern skies were thus converged in Greece, ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker
 
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... time for review. But with the exception of a little extra mathematics, the requirements are certainly no worse than for college entrance exams. And you've tested yourself out twice on those. Aren't you glad I insisted on more geometry?" ...
— Chicken Little Jane on the Big John • Lily Munsell Ritchie
 
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... founded on a few radical principles, which are exhibited in the shape of axioms and definitions, and unfolded, by rigorous logical deduction, in a series of propositions, with occasional scholia and corollaries, after the method of Geometry; a system which undertakes to explain the rationale of every part of human knowledge, to interpret alike the Book of Nature and the Book of Revelation, to determine the character of prophetic inspiration, and to account for apparent miracles on natural principles, ...
— Modern Atheism under its forms of Pantheism, Materialism, Secularism, Development, and Natural Laws • James Buchanan
 
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... stars unknown to us, of which I have retained a particular remembrance, and have enumerated as many as twenty whose brightness is equal to that of Venus or Jupiter. I considered also their circuit and their various motions, and, having a knowledge of geometry, I easily measured their circumference and diameter, and am certain, therefore, that they are of much greater magnitude than men imagine. Among the others, I saw three Canopi, two being very bright, while the third was dim ...
— Amerigo Vespucci • Frederick A. Ober
 
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... pre-existence of an original; the copyist of Raffael's Transfiguration must repeat more or less perfectly the process of Raffael. It would be easy to explain a thought from the image on the retina, and that from the geometry of light, if this very light did not present the very same difficulty. We might as rationally chant the Brahim creed of the tortoise that supported the bear, that supported the elephant, that supported the world, ...
— Biographia Literaria • Samuel Taylor Coleridge
 
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... contemporaries of Descartes, and they followed with intense interest the attempt of the great Frenchman to put philosophy in possession of a method as adequate for its problems as the method of geometry was for the mathematical sciences. None of the "Platonists" was possessed of the same rare quality of genius as either of these two great philosophers, but they saw with clear insight the full bearing of both systems. They heartily disapproved of Hobbes' materialism ...
— Spiritual Reformers in the 16th & 17th Centuries • Rufus M. Jones
 
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... Ms. 425, folio 91, a.] Mr Ive reported that Mr Underhill could be no weaker than he was, and live. His friend Dr Record had been to see him in the prison, whom he describes as "Doctor of Physic, singularly seen [very skilful] in all the Seven Sciences [Grammar, Rhetoric, Logic, Arithmetic, Geometry, Music, and Astronomy], and a great devyne." Mr Rose took his deprivation very quietly. Some of his friends thought he might be all the safer for it, if the persecutors had done all they cared about doing to him. He had ...
— Robin Tremain - A Story of the Marian Persecution • Emily Sarah Holt
 
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... Turgot devoted himself to literature, science, and charity, translating Odes of Horace and Eclogues of Virgil, studying geometry with Bossut, chemistry with Lavoisier, and astronomy with Rochon, and interesting himself in every thing by which human welfare could be advanced. Such a character, with such an experience of government, and the prophet of American independence, was naturally ...
— Atlantic Monthly, Volume 12, No. 73, November, 1863 • Various
 
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... differential calculus, astronomy, geology, natural history and superior literature. If he is the master of a boarding-school, this degree must not extend beyond grammar classes, nor the first elements of geometry and arithmetic; he must leave to State lycees and colleges their domain intact, the humanities properly so called, superior lectures and means of secondary instruction.—In the second place, in the towns possessing a lycee or college, he must teach at home ...
— The Origins of Contemporary France, Volume 6 (of 6) - The Modern Regime, Volume 2 (of 2) • Hippolyte A. Taine
 
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... sat over our wine, and I remember that the wine was good, and fully justified the encomiums of my host of the town. Over the wine I made sure that my entertainer would have loosened the chain which seemed to tie his tongue—but no! I endeavoured to tempt him by various topics, and talked of geometry and the use of the globes, of the heavenly sphere, and the star Jupiter, which I said I had heard was a very large star, also of the evergreen tree, which, according to Olaus, stood of old before the heathen temple of Upsal, and which I affirmed was a yew—but no, nothing that ...
— Lavengro - The Scholar, The Gypsy, The Priest • George Borrow
 
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... at an age when one is surprised to see her able to write at all, that her mother is too busy to let her go to school, and she must improve herself at home; and this she really did, for her notes, as she grew older, speak of studying Butler's Analogy, Paley's Evidences, logic, geometry, and Latin. Her library of poetry is said to have consisted only of Thomson's Castle of Indolence, and Macpherson's Ossian; but hymns must have filled her ear with the ring of rhyme, for she was continually versifying, sometimes passages ...
— Pioneers and Founders - or, Recent Workers in the Mission field • Charlotte Mary Yonge
 
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... College, in Oxford, about the year 1650, and the members consisted of the Honourable Robert Boyle, Esq., Dr. Ward (afterwards Bishop of Salisbury), Sir Christopher Wren, Sir William Petty, Dr. Wallis, Dr. Goddard, and Dr. Hook (late Professor of Geometry), the above-named Bishop Wilkins, and others. In the year 1658 we find them assembling in Gresham College, in London, when were added to their number the Lord Brounker (their first president), Sir Robert Murray, John Evelyng, Esq., Sir George Ent, Dr. Croon, ...
— London in 1731 • Don Manoel Gonzales
 
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... have been brought down to modern applications by learned philosophers and mathematicians. These have labored with a godlike energy and skill to trace the interior relationships existing between the recondite revelations of their Geometry, their wonderful laws of mathematical harmonies and unities, and those lines which by common consent are understood to be exponential of certain phases of our own existence. No well-organized intellect can fail to perceive that a sublime and immortal ...
— Atlantic Monthly, Vol. 7, No. 44, June, 1861 • Various
 
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... before us two right angles followed by a triangle, or a triangle followed by two right angles. Instantly, like Aristippus, we can say there is civilization in Mars, or wherever that sign comes from, or at least there is organized thought. The mind that is flashing that sign knows something about geometry. ...
— Editorials from the Hearst Newspapers • Arthur Brisbane
 
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... vibrates in sympathetic harmony with life, it is about inert matter that intelligence is granted; it is a rider to our faculty of action; it triumphs in geometry; it feels at home among the objects in which our industry finds its supports and its tools. In a word, "our logic is primarily the logic of solids." (Preface to "Creative Evolution".) But if we enter the vital order its incompetence ...
— A New Philosophy: Henri Bergson • Edouard le Roy
 
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... relative distances of the stars were more complete, it would be an interesting exercise in celestial geometry to project the constellations probably visible to the inhabitants of worlds revolving around some of the other suns of space. Our sun is too insignificant for us to think that he can make a conspicuous appearance among them, except, perhaps, in ...
— Curiosities of the Sky • Garrett Serviss
 
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... bee finds a hive from a thousand sweets gathered from a thousand flowers. He was not only a great poet but a great philosopher. Richard III., Iago, and Falstaff are men who reverse the order of things, who place intellect at the head, whereas it ought to follow, like Geometry, to prove and to confirm. No man, either hero or saint, ever acted from an unmixed motive; for let him do what he will rightly, still Conscience whispers "it is your duty." Richard, laughing at conscience and sneering at religion, felt a confidence in ...
— Shakespeare, Ben Jonson, Beaumont and Fletcher • S. T. Coleridge
 
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... the school-teacher gravely, "that I can show him how to read a little Latin and do a little geometry, but he knows as much in one day as I shall ever ...
— A Village Stradivarius • Kate Douglas Wiggin
 
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... methods of study and learning. The pupil in a history class may be able to recite whole pages of the text almost verbatim, but when questioned as to the meaning of the events and facts show very little knowledge about them. A student confessed to her teacher that she had committed all her geometry lessons to memory instead of reasoning them out. She could in this way satisfy a careless teacher who did not take the trouble to inquire how the pupil had prepared her lessons, but she ...
— The Recitation • George Herbert Betts
 
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... surging dimly through the universal consciousness, find interpreters in the men of genius; through them the moral and religious ideas of an epoch take form, and crystallize themselves in poetry and the arts—as the laws of the divine geometry are realized in the crystallizations of minerals. Poetry and the arts may be regarded as the sum of the absolute truths to the conception of which the masses have risen at any given period in the life ...
— The Continental Monthly, Vol. 4, No. 5, November, 1863 • Various
 
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... the history of the human race for the better are those chapters of the New Testament which teach us the great moral lessons of love, charity and forgiveness. As a handbook of astronomy, zoology, botany, geometry and all the other sciences, the venerable book is not entirely reliable. In the twelfth century, a second book was added to the mediaeval library, the great encyclopaedia of useful knowledge, compiled by Aristotle, the Greek philosopher of the fourth ...
— The Story of Mankind • Hendrik van Loon
 
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... long, lanky legs were made for striding after culprits, and his arms for caning them. He taught, among other things, the classics, of course, the English language grammatically, arithmetic in all its branches, book-keeping in the Italian manner, and the elements of algebra, geometry, and trigonometry with their applications to surveying and navigation. He also wrote various sorts of hands, fearful and marvellous to the uninitiated, with which he was wont to decorate my monthly reports to my grandfather. I can shut my eyes and see now that wonderful hyperbola in the ...
— The Crossing • Winston Churchill
 
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... study of languages, put out of the lad's reach all books treating his favorite subject. Thus shut up to his own resources, the masterful little fellow, about his eighth year, drawing charcoal diagrams on the floor, made perceptible progress in working out geometry for himself. At sixteen he produced a treatise on conic sections that excited the wonder and incredulity of Descartes. Later, he experimented in barometry, and pursued investigations in mechanics. Later still, he made what seemed to be approaches ...
— Classic French Course in English • William Cleaver Wilkinson
 
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... "poundstones," "pundips," and other stony curiosities which lay scattered about the adjoining land, he yet enabled him to purchase a few of the necessary books wherewith to instruct himself in the rudiments of geometry and surveying; for the boy was already destined for the business of a land-surveyor. One of his marked characteristics, even as a youth, was the accuracy and keenness of his observation; and what he once clearly saw he never forgot. ...
— Self Help • Samuel Smiles
 
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... appertain all the knowledge into which young men are initiated in the schools, and by which they are afterwards initiated into intelligence, which also are called by various names, as philosophy, physics, geometry, mechanics, chemistry, astronomy, jurisprudence, politics, ethics, history, and several others, by which, as by doors, an entrance is made into things rational, which are the ...
— The Delights of Wisdom Pertaining to Conjugial Love • Emanuel Swedenborg
 
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... first, which has been already mentioned. Considering that some of these perturbations had never been discovered, that the cause of none of them had ever been known, and that he exhibited his results, if he did not also make the discoveries, by the synthetic methods of geometry, it is simply marvellous that he reached to such a degree of accuracy. He invented the infinitesimal calculus which is more suited for such calculations, but had he expressed his results in that language he would ...
— History of Astronomy • George Forbes
 
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... a great library which contained over five hundred thousand volumes or rolls. There also was the museum or university, in which many learned men were at work. The best known of these men was Euclid, who perfected the mathematics which we call geometry, and Ptolemy, whose ideas about geography and the shape and size of the globe Columbus carefully studied before he set out on his great voyage. Alexandria was also a center of trade and commerce. From Alexandria, because its ships were the first foreign ships to be admitted to a Roman port, ...
— Introductory American History • Henry Eldridge Bourne and Elbert Jay Benton
 
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... as a final idea, a conception of the last vividness. He might have been signifying by it the sharp corners and hard edges, all the stony pointedness, the grand right geometry of his spreading Palladian church. Just so, he was insensible to no feature of the felicity of a contact that, beguilingly, almost confoundingly, was a contact but with practically yielding lines and curved surfaces. "You're round, ...
— The Golden Bowl • Henry James
 
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... there stood a gate of marble white, Westward right such another opposite. And, shortly to conclude, such a place Was never on earth made in so little space, For in the land there was no craftes-man, That geometry or arsmetrike* can**, *arithmetic **knew Nor pourtrayor*, nor carver of images, *portrait painter That Theseus ne gave him meat and wages The theatre to make and to devise. And for to do his rite and sacrifice He eastward hath upon the gate above, In worship ...
— The Canterbury Tales and Other Poems • Geoffrey Chaucer
 
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... had not been attended with much success or emolument, yet Columbus's zeal was not thereby damped; and his parents, still anxious that their son should pursue the same line which his ancestors had done, strained every nerve to give him a suitable education. He was accordingly taught geometry, astronomy, geography, and drawing. As soon as his time of life and his education qualified him for the business he had chosen, he went to sea; he was then fourteen years old. His first voyages were from Genoa, ...
— Robert Kerr's General History and Collection of Voyages and Travels, Volume 18 • William Stevenson
 
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... years old, to a boarding-school, in order to learn a little ingenuity and artifice. Then, sir, she should have a supercilious knowledge in accounts;—and as she grew up, I would have her instructed in geometry, that she might know something of the contagious countries;—but above all, Sir Anthony, she should be mistress of orthodoxy, that she might not mis-spell, and mis-pronounce words so shamefully as girls usually do; and likewise that she might reprehend the true meaning ...
— The Rivals - A Comedy • Richard Brinsley Sheridan
 
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... Practical Printer, who is competent to take charge of any department in a printing and publishing house. Would accept a professorship in any of the academies. Has no objection to teach ornamental painting and penmanship, geometry, trigonometry, and many other sciences. Has had some experience as a lay preacher. Would have no objection to form a small class of young ladies and gentlemen to instruct them in the higher branches. To a dentist ...
— Pushing to the Front • Orison Swett Marden
 
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... touch a law book. If you can get a college education, do not "read law" while you are at college. If you go to college, do not take what is known as the "scientific" course, or "physical" course. Take the classical course. Next to geometry and logarithms and the Bible, the best discipline preparatory to making you a lawyer is the translation of Latin. Latin is the most logical language the world has ever seen, or is likely ...
— The Young Man and the World • Albert J. Beveridge
 
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... never subject himself to the tedious fatigue of calculations, nor to the dry pursuit of mathematical truths, which do not at first present any sensible objects to the mind; and no one has given better proofs than he, that it is possible for a man to have a geometrical head without the assistance of geometry. Before his time, several great philosophers had declared, in the most positive terms, what the soul of man is; but as these absolutely knew nothing about it, they might very well be allowed to differ entirely in opinion from ...
— Letters on England • Voltaire
 
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... their judgment who are only instructed in the principles of the art than of those who practise it: and with respect to elections the same method of proceeding seems right; for to elect a proper person in any science is the business of those who are skilful therein; as in geometry, of geometricians; in steering, of steersmen: but if some individuals should know something of particular arts and works, they do not know more than the professors of them: so that even upon this principle neither the election of magistrates, ...
— Politics - A Treatise on Government • Aristotle
 
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... dissipation were as yet new to me, and I was no enemy to social life. Here, though I learnt to look unconcernedly on a large tavern bill and mix without fear in a drunken squabble, yet I went on with a high hand in my geometry.' ...
— Robert Burns - Famous Scots Series • Gabriel Setoun
 
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... is, as an experience of the heart. What he dreads in space is that the heart should be possessed by it, and transformed into it. He dreads that the imagination should be fascinated by the homogeneous and static, hypnotised by geometry, and actually lost in Auseinandersein. This would be a real death and petrifaction of consciousness, frozen into contemplation of a monotonous infinite void. What is warm and desirable is rather the sense of variety and succession, ...
— Winds Of Doctrine - Studies in Contemporary Opinion • George Santayana
 
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... Geometry originated with the Egyptians, and their knowledge of hydrostatics and mechanics (shown in the building of the Pyramids), and of astronomy and medicine, is of remotest antiquity. The Greeks borrowed largely from them, and then became in turn their teacher. The Egyptian priests, ...
— The Interdependence of Literature • Georgina Pell Curtis
 
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... his family. Catenac's relatives were poor, and I, well, I had no family. I stood alone. We were literally starving, and I was the only one earning money. I prepared pupils for the military colleges, but as I only earned twenty-five sous a day by cramming a dull boy's brain with algebra and geometry, that was not enough to feed us all. Well, to cut a long story short, the day came when we had not a coin among us. I forgot to tell you that I was devotedly attached to a young girl who was dying of consumption, and who had neither food nor fuel. What could I do? I knew not. Half mad, ...
— Caught In The Net • Emile Gaboriau
 
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... Tactometria, sev. Tetagmenometria; or, the Geometry of Regulars, practically proposed, after a new and most expeditious manner, (together with the Natural or Vulgar, by way of Mensural comparison) and in the Solids, not only in respect of Magnitude or Demension, but also of Gravity or Ponderosity, according to any Metall assigned: together ...
— The Compleat Cook • Anonymous, given as "W. M."
 
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... mathematician comes closer to God than any other, since his mind is trained to conceive and formulate the magnificent phantoms of legality. He smiled to think that any one should presume to become a parson without having at least mastered analytical geometry. ...
— Where the Blue Begins • Christopher Morley
 
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... l'objection quelconque, MEME INSOLUBLE, ne doit plus etre ecoutee.' Suppose, for example, that by a consensus of testimony it were perfectly proved that Archimedes set fire to the fleet of Marcellus by a burning-glass; then all the objections of geometry disappear. Prove if you can, and if you choose, that by certain laws a glass, in order to be capable of setting fire to the Roman fleet, must have been as big as the whole city of Syracuse, and ask me what answer I have to make to that. 'J'ai a vous repondre qu'Archimede ...
— Critical Miscellanies (Vol. 2 of 3) - Essay 4: Joseph de Maistre • John Morley
 
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... Bishopsgate, after the decease of his wife, to the mayor and corporation of the city and to the wardens and commonalty of the Mercers' Company in equal moieties in trust (inter alia) for the maintenance of seven lectures on the several subjects of Divinity, Astronomy, Music, Geometry, Law, Physic and Rhetoric. In 1596 these two corporate bodies came into possession of the property, and in the following year drew up ordinances for the regulation of the various lectures. According to the terms of Gresham's will the lectures were delivered at Gresham House. When Gresham House, ...
— London and the Kingdom - Volume I • Reginald R. Sharpe
 
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... scent a teasing delicate fragrance arising; and beneath, in a clear, firm hand, she stroked in the name, Jane Meredith. She went over her work carefully, then laid it flat on a piece of cardboard, shoved it into an envelope, directed it to the editor of Everybody's Home, laid it inside her geometry, and wrote her letter to ...
— Her Father's Daughter • Gene Stratton-Porter
 
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... the others, the Twentieth Century will be democratic. The greatest discovery of the Nineteenth Century was that of the reality of external things. That of the Twentieth Century will be this axiom in social geometry: "A straight line is the shortest distance between two points." If something needs doing, do it; the more ...
— The Call of the Twentieth Century • David Starr Jordan
 
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... lieutenant, but he encountered neither; they seemed to have forgotten his existence. So he read below a great deal of light, cheerful, edifying matter upon navigation—good yawning stuff, with plenty of geometry in it and mathematical calculations, seeing little of his messmates, who were on the whole ...
— Syd Belton - The Boy who would not go to Sea • George Manville Fenn
 
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... practical and definite thing to work with; in later life to believe, and to approve of, or disbelieve, and disapprove of. If a man wishes to build a house, does it fetter him to know square measure, cubic contents, geometry, mensuration, and mechanical laws? Yet when he builds his house, he builds it in his own individual way; he stamps it with his own personality and ideas. While building it, perchance, he discovers some ...
— The Warriors • Lindsay, Anna Robertson Brown
 
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... the Temple of Vulcan, and dug the great Lake called the Lake of Moeris, and upon the bottom of it built two great Pyramids of brick: and these things being not mentioned by Homer or Hesiod, were unknown to them, and done after their days. Moeris wrote also a book of Geometry. ...
— The Chronology of Ancient Kingdoms Amended • Isaac Newton
 
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... science is to lead men to the knowledge of abstract, essential, eternal truth. [Plato's Republic, Book vii.] Indeed, if we are to believe Plutarch, Plato carried this feeling so far that he considered geometry as degraded by being applied to any purpose of vulgar utility. Archytas, it seems, had framed machines of extraordinary power on mathematical principles. [Plutarch, Sympos. viii. and Life of Marcellus. The machines of Archytas are also mentioned by Aulus Gellius and ...
— Critical and Historical Essays Volume 2 • Thomas Babington Macaulay
 
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... west-wind cloud. Does he subsist upon air or odor, that he is forever upon the wing, and never deigns to pick a seed or crumb from the earth? Is he an embodied thought projected from the brain of some mad poet in the dim past, and sent to teach us a higher geometry of curves and spirals? See him with that feather high in air, dropping it and snapping it up again in the very glee of superabundant vitality, and in his sudden evolutions and spiral gambollings seeming more a creature of the imagination than of ...
— The Atlantic Monthly, Volume 15, No. 91, May, 1865 • Various
 
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... his treatise on "The World; or on Light," an epitome of his "Physics," which, however, he deemed it wise, in view of Galileo's fate, to withhold from publication during his lifetime. Besides the "Discourse on Method" (1637), with the treatises on dioptrics, meteors, and geometry, his principal works were his "Meditations" addressed to the Deans of the Faculty of Theology in the University of Paris; the "Principia Philosophiae," and the "Traite des Passions de L'Ame," in which, he handled morals. ...
— The Worlds Greatest Books, Volume XIII. - Religion and Philosophy • Various
 
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... perhaps a high Algebra of the Soul by which, if we understood its laws, we could revive the history of any past epoch, discover its thought and modes of living, as we discover the value of the unknown factor in an equation. Pythagoras must have his pupils understand music and geometry; and by music he intended, all the arts, every department of life that came under the sway of the Nine Muses. Why?—Because, as he taught, God is Poet and Geometer. Chaos is only on the outer rim ...
— The Crest-Wave of Evolution • Kenneth Morris
 
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... imagination; only poetry inspires poetry. They become the organic culture of the time. College education is the reading of certain books which the common sense of all scholars agrees will represent the science already accumulated. If you know that,—for instance, in geometry, if you have read Euclid and Laplace,—your opinion has some value; if you do not know these, you are not entitled to give any opinion on the subject. Whenever any skeptic or bigot claims to be heard on ...
— The Atlantic Monthly, Vol. I., No. 3, January 1858 - A Magazine of Literature, Art, and Politics • Various
 
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... tilted carts at which he worked in Vian's shop, those carts which he had lovingly cherished, now seemed unworthy of his affections. He began to attend the local drawing-school, where he formed a connection with a youngster who had left college, and who lent him an old treatise on geometry. He plunged into this study without a guide, racking his brains for weeks together in order to grasp the simplest problem in the world. In this matter he gradually became one of those learned workmen who can hardly sign their name and yet talk about algebra ...
— The Fortune of the Rougons • Emile Zola
 
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... Lord Treasurer Weston's son in arithmetick, astronomy upon the globes, and their uses. He was a person very studious, laborious, of good apprehension, and had by his own industry obtained both in astrology, physick, arithmetick, astronomy, geometry and algebra, singular judgment: he would in astrology resolve horary questions very soundly; but was ever diffident of his own abilities: he was exquisitely skilful in the art of directions upon nativities, and had a good genius in performing judgment thereupon, but very ...
— William Lilly's History of His Life and Times - From the Year 1602 to 1681 • William Lilly
 
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... either pure or mixed. To the pure mathematics are those sciences belonging which handle quantity determinate, merely severed from any axioms of natural philosophy; and these are two, geometry and arithmetic, the one handling quantity continued, and the other dissevered. Mixed hath for subject some axioms or parts of natural philosophy, and considereth quantity determined, as it is auxiliary and ...
— The Advancement of Learning • Francis Bacon
 
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... and I just straightened up and walked! Mr. Durant talked to us some about our lessons. He seemed pleased when we told him we liked geometry. When we got back to the college we told the girls about meeting Mr. Durant. I guess nobody will want to dawdle along after this; I'm ...
— The Story of Wellesley • Florence Converse
 
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... endless succession of surprises and delights. In behalf of the utmost tale of results, the inquirer should summon to his aid his rules of evidence, his common sense, his love of fair play, and the inexorable logic of his youthful geometry. ...
— The Minds and Manners of Wild Animals • William T. Hornaday
 
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... interesting Life of the explorer, 'and an irresistible inclination for the sea.... His father, seeing the bent of his mind, endeavoured to give him an education suitable for maritime life. He sent him, therefore, to the university of Pavia, where he was instructed in geometry, geography, astronomy and navigation.... He remained but a short time at Pavia, barely sufficient to give him the rudiments of the necessary sciences; the thorough acquaintance with them which he displayed in after-life must have been the result of diligent self-schooling, and ...
— The Curse of Education • Harold E. Gorst
 
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... no mathematics higher than elementary algebra and geometry is introduced; in the foot-notes and in the Appendix an occasional trigonometric formula appears, for the benefit of the very considerable number of high school students who understand such expressions. This fact should be particularly ...
— Elements of Structural and Systematic Botany - For High Schools and Elementary College Courses • Douglas Houghton Campbell
 
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... that I may make myself capable of that freedom of moral being, without which heaven would be no heaven to me." Now this very thought tends to annihilate self. For what is a self not distinguished from any other self, but like an individual circle in geometry, uncoloured, and the representative of all other circles. The circle is differenced, indeed, from a triangle or square; so is a virtuous soul from a vicious soul, a soul in bliss from a soul in misery, but no wise distinguished from other souls under the same predicament. ...
— Literary Remains (1) • Coleridge
 
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... omnipresent. You travel ten, twenty, thirty miles up or down the river's banks, you ramble fifteen miles among the hills on either side, and then, when you have long since forgotten them, perchance slept on them by the way, at a turn of the road or of your body, there they are still with their geometry against the sky.... ...
— Picturesque Quebec • James MacPherson Le Moine
 
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... called putting the place to rights. This meant taking out the contents of bureau drawers and wardrobes and putting them back again, massing the litter on the big table in the living-room into an involved geometry of neat piles that would endure for all of an hour, straightening pictures on the walls, eliminating the home-circles of spiders long unmolested, loudly calling upon Lew Wee, the Chinaman, who affrightedly fled farther and farther after each call, and ever and again booming pained ...
— Somewhere in Red Gap • Harry Leon Wilson
 
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... few years at his trade in the south of Scotland, was a great reader, wrote very tolerable prose, and verse which, if not poetry, to which he made no pretensions, was at least quaintly-turned rhyme. He had, besides, a competent knowledge of geometry, and was skilled in architectural drawing; and—strange accomplishment for a Celt—he was an adept in the noble science of self-defence. But George never sought out quarrels; and such was his amount of bone and muscle, and such the expression of manly resolution stamped on his countenance, ...
— My Schools and Schoolmasters - or The Story of my Education. • Hugh Miller
 
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... be well supplied with spelling-books, reading-books, arithmetics, and grammars in the modern language, also with works on geometry and trigonometry. There was, therefore, much less preparatory work to be done for them in the way of education, than was supposed. A geography was needed, and the part relating to ancient Armenia was ...
— History Of The Missions Of The American Board Of Commissioners For Foreign Missions To The Oriental Churches, Volume I. • Rufus Anderson
 
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... The first edition of Cocker's Arithmetic was published about 1660. Brit. Mus. Cata. Though Johnson says that 'a book of science is inexhaustible,' yet in The Rambler, No. 154, he asserts that 'the principles of arithmetick and geometry may be comprehended by a close attention in a few days.' Mrs. Piozzi says (Anec. p. 77) that 'when Mr. Johnson felt his fancy disordered, his constant recurrence was to arithmetic; and one day that he was confined to his chamber, and I enquired ...
— Life Of Johnson, Volume 5 • Boswell
 
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... small, her principal virtues being devotion to children and ability to gain their love, and a power of evolving a schoolroom order so natural, cheery, serene, and peaceful that it gave the beholder a certain sense of being in a district heaven. She was poor in arithmetic and weak in geometry, but if you gave her a rose, a bit of ribbon, and a seven-by-nine looking-glass she could make herself as pretty as a ...
— New Chronicles of Rebecca • Kate Douglas Wiggin
 
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... should represent truly and effectively, with a reasonable approach to the balance of real social forces, the wishes and needs of the communities themselves. That is the object of the Government, and in face of a great problem of that kind, algebra, arithmetic, geometry, logic—none of these things will do your business for you. You have to look at it widely and away from those sciences, excellent in their place, but not of much service when you are solving awkward political riddles. I think if you allow some method of leaving to a local authority ...
— Indian speeches (1907-1909) • John Morley (AKA Viscount Morley)
 
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... daylight. Just so some men have an eye for an equation, and would read at sight the one that you puzzled over. It is told of Sir Isaac Newton that he required no demonstration of the propositions in Euclid's Geometry, but as soon as he had read the enunciation the solution or answer was plain at once. The power may be cultivated, but I think it is to a great degree a natural gift, as is the eye for color, as is the ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)
 
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... and yet so true as in Holland. The old quartos we have received from the seventeenth and former half of the eighteenth centuries will ever remain marvels of literalism gone mad. They were gotten up like a geometry, with theorems and propositions, followed by a lengthy array of texts transcribed without one word of comment. The sermons published at that time were divided and subdivided, their appearance being similar to a page of a dictionary. They were interlarded with Latin, Greek, and Hebrew letters and ...
— History of Rationalism Embracing a Survey of the Present State of Protestant Theology • John F. Hurst
 
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... different things on the two different sides of the Tweed. The academical authorities at Cambridge and Oxford stand in a parental relation to the student. They undertake, not merely to instruct him in philology, geometry, natural philosophy, but to form his religious opinions, and to watch over his morals. He is to be bred a Churchman. At Cambridge, he cannot graduate, at Oxford, I believe, he cannot matriculate, without ...
— The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 4 (of 4) - Lord Macaulay's Speeches • Thomas Babington Macaulay
 
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... the celebrated mathematician, was a native of Scotland, and the son of the Duke of Argyle's gardener. Before he attained the age of eighteen years, he had acquired a knowledge of geometry, &c., without a master. When he was asked by the Duke of Argyle how he had gained this knowledge, he replied, "I first learned to read; and the masons being at work on your house, I saw that the architect used a rule and compasses, and that he made calculations. Upon inquiring into the uses of ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 20, No. - 581, Saturday, December 15, 1832 • Various
 
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... always accordant with true reasoning, so self-prompting, that a hint of the problem is all they ask to arrive at its demonstration. Blaise Pascal, when a boy of twelve, whose education had been carefully restrained, once asked his father what is geometry. The latter replied that it is a method devised to draw figures correctly, but forbade any further inquiry about it. On this hint Pascal, by himself, unassisted, without so much as knowing the name of a line or circle, reached in a few weeks ...
— The Religious Sentiment - Its Source and Aim: A Contribution to the Science and - Philosophy of Religion • Daniel G. Brinton
 
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... made on the libraries at Oxford. Books and manuscripts were destroyed without distinction: the volumes of divinity from the council books, suffered for their rich binding: those of literature were condemned as useless: those of geometry and astronomy were supposed to contain nothing but necromancy.[*] The university had not power to oppose these barbarous violences: they were in danger of losing their own revenues; and expected every moment to be swallowed up by the earl ...
— The History of England in Three Volumes, Vol.I., Part C. - From Henry VII. to Mary • David Hume
 
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... pushed ahead of where he belonged when he was put into history; proof that he had been put to the task of acquiring history before he had had a single lesson in the art of acquiring it, which is the equivalent of dumping a pupil into geometry before he has learned the progressive steps which lead up to it and make its acquirement possible. Those Calcutta novices had no business with history. There was no excuse for examining them in it, no excuse for exposing them and their ...
— Innocents abroad • Mark Twain
 
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... dichromatic, digraph *Didonai, dosis give dose, apodosis, anecdote *Dynamis power dynamite, dynasty *Eidos form, thing seen idol, kaleidoscope, anthropoid *Ethnos race, nation ethnic, ethnology Eu well euphemism, eulogy *Gamos marriage cryptogam, bigamy *Ge earth geography, geometry Genos family, race gentle, engender Gramma writing monogram, grammar Grapho write telegraph, lithograph *Haima blood hematite, hemorrhage, anemia *Heteros other heterodox, heterogeneous *Homos same homonym, homeopathy *Hydor water hydraulics, hydrophobia, hydrant *Isos equal isosceles, ...
— The Century Vocabulary Builder • Creever & Bachelor
 
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... began by her writing notes to claim her bills, and to take steps to get her capital into her own hands. Owen drowned reflection in geometry, till it was time to go by ...
— Hopes and Fears - scenes from the life of a spinster • Charlotte M. Yonge
 
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... in the opposite. Our common-school system now rejects sewing from the education of girls, which very properly used to occupy many hours daily in school a generation ago. The daughters of laborers and artisans are put through algebra, geometry, trigonometry, and the higher mathematics, to the entire neglect of that learning which belongs distinctively to woman. A girl cannot keep pace with her class, if she gives any time to domestic matters; and accordingly she is excused from them all during the whole term of her education. ...
— Atlantic Monthly, Volume 14, No. 84, October, 1864 - A Magazine Of Literature, Art, And Politics • Various
 
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... Abbott said, gravely pointing. She obeyed without a word, leaving the geometry as hostage in the teacher's hand. When seated at a discreet distance, she looked over at Bob Clinton. He hastily drew on his spectacles, that ...
— Fran • John Breckenridge Ellis
 
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... not confine itself to the construction of quantities (quanta), as in the case of geometry; it occupies itself with pure quantity also (quantitas), as in the case of algebra, where complete abstraction is made of the properties of the object indicated by the conception of quantity. In algebra, a certain method of notation ...
— The Critique of Pure Reason • Immanuel Kant
 
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... them scientific slants of mind and he always had to figure why he was supposed to do a certain thing a certain way. Once he'd found out the reason he was satisfied. Professor Tweedy, our "math" teacher, used to say that "Rus" was a "natural born thinker." But geometry and trigonometry weren't the only subjects that "Rus" approached from all angles. He used his bean ...
— Interference and Other Football Stories • Harold M. Sherman
 
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... night, he cast aside all his plans and concentrated on the one star. He witnessed an unprecedented event. Mercia's nullifier had just been invented, a curious and intricate device, based on four-dimensional geometry, that made it possible to see occurrences in the universe which had hitherto required the hundreds of years needed for light to cross the intervening space before they were visible on Earth. By a hasty calculation with the aid of this invention, Phobar found ...
— Raiders of the Universes • Donald Wandrei
 
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... fashion of the time it works by deduction, after the method of Rousseau, according to an abstract notion of right, of the State and of the social compact.[2126] According to this process, by virtue of political geometry alone, they shall have the perfect vessel and since it perfect it follows that it will sail, and that much better than any empirical craft.—They legislate according to this principle, and one may imagine the nature of their discussions. ...
— The Origins of Contemporary France, Volume 2 (of 6) - The French Revolution, Volume 1 (of 3) • Hippolyte A. Taine
 
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... audacity nearly to ride down the Duke of Wellington) seems to be— not the translation of mutton, which would certainly find its way into human mouths even if riding boys were not,—but the improved geometry of transcendental curves. They ought to be numbered, ought these boys, and to wear badges—X 10, &c. And exactly the same evil, asking therefore by implication for exactly the same remedy, affects the Comets. ...
— Narrative And Miscellaneous Papers • Thomas De Quincey
 
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... "There's a way out of it, and the simplest way on earth. It's so infernally simple that we've all overlooked it. It narrows down to a simple problem in geometry. Do you ...
— The Lost Valley • J. M. Walsh
 
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... mystic in their moments of vision are not the paradoxes—the paronomasia as it were—of an intoxicated state of consciousness, but glimpses of reality. We are all of us participators in a world of concrete music, geometry and number—a world of sounds, odors, forms, motions, colors, so mathematically related and coordinated that our pigmy bodies, equally with the farthest star, vibrate to the music of the spheres. ...
— The Beautiful Necessity • Claude Fayette Bragdon
 
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... hear you apply the dreadful knowledge with which you strip from all things human the properties that time and space and form have given them, and consider them mathematically in the abstract, as geometry treats substances from ...
— Seraphita • Honore de Balzac
 
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... such, too, was Sextus Empiricus, so often critical of science, who demonstrates (as to a slight extent M. Henri Poincare does in our own day) that all sciences, even those which, like mathematics and geometry, are proudest of their certainty, rest upon conventions and ...
— Initiation into Philosophy • Emile Faguet
 
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... of Lincoln, Shakespeare and the Bible served, not merely to awaken his taste and fashion his style, but also to liberate his literary and moral imagination. At the same time he was training his powers of thought by an assiduous study of algebra and geometry. The absorbing hours he spent over his Euclid were apparently of no use to him in his profession; but Lincoln was in his way an intellectual gymnast and enjoyed the exertion for its own sake. Such a use of his leisure must have seemed a sheer waste of time to his more practical friends, and they ...
— The Promise Of American Life • Herbert David Croly
 
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... again with the idea of Liberty: and it is only because we had knowledge presented to us at an age when we thought more attentively of apples, that we still fail to recognise in Euclid and Dr Todhunter two writers who are excellent because possessed with a passion for Geometry. ...
— On The Art of Reading • Arthur Quiller-Couch
 
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... he taught those who came to him for instruction in the grove named Academus, near the Cephisus, and thus founded the first great philosophical school, over which he continued to preside until the day of his death. Above the entrance to this grove was inscribed the legend: "Let no one ignorant of geometry enter here." Here he was attended by persons of every description, among the more illustrious of whom were ...
— Apology, Crito, and Phaedo of Socrates • Plato
 
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... more than seven feet high, who conquered, not only all Ethiopia, but also Europe and Asia; his columns were said to be found in Palestine, Asia Minor, Scythia, and Thrace; he left a colony at Colchis, the city of the golden fleece; he dug all the canals by which Egypt was intersected; he invented geometry; he set up colossi above fifty feet high; he was the greatest monarch that had ruled Egypt since ...
— Ancient Egypt • George Rawlinson
 
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... scientific discoveries are, and they are unique in ancient literature, [Footnote: They are general and definite. This distinguishes them, for instance, from Plato's incidental hint in the Republic as to the prospect of the future development of solid geometry.] they were far from adumbrating a doctrine of the Progress of man. For him, as for Plato and the older philosophers, time is the enemy of man. [Footnote: The quotations and the references here will be found in Nat. Quaest. i. Praef.; Epist. 104, Sec. 16 (cp. 110, Sec. 8; 117, Sec. ...
— The Idea of Progress - An Inquiry Into Its Origin And Growth • J. B. Bury
 
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... second year, Exegesis, Isaiah, Daniel, and Revelation, Geometry, Natural Philosophy, and Astronomy, Rhetoric in Ancient Armenian, Evidences of ...
— History Of The Missions Of The American Board Of Commissioners For Foreign Missions To The Oriental Churches, Volume II. • Rufus Anderson
 
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... a great variety of uses. It serves him in some of the games he plays. When I saw the boys in geometry use their queues to strike an arc or draw a circle, it reminded me of my college days when I had forgotten to take a string to class. The laborer spreads a handkerchief or towel over his head, wraps his queue around it and makes for himself ...
— The Chinese Boy and Girl • Isaac Taylor Headland
 
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... use of ambiguity.[184:6] It is natural that in its first conscious self-criticism thought should discover the need of definite terms. The perpetual importance of definition has been largely due to the great prestige in modern philosophy of the method of geometry, which was regarded by Descartes and Spinoza as the model ...
— The Approach to Philosophy • Ralph Barton Perry
 
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... circles, and squares which he has known in his experience," and again, "The character of necessity ascribed to the truths of Mathematics and even, with some reservations to be hereafter made, the peculiar certainty attributed to them is an illusion." "In the case of the definitions of Geometry there exist no real things exactly conformable to the definitions." Again Taine, "Les images sont les exactes reproductions de la sensation." Again Diderot, "Pour imaginer il faut colorer un fond et detacher de ce ...
— Essays Towards a Theory of Knowledge • Alexander Philip
 
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... scene stretched away before them. Bare, burning sand, strewn with curiously colored rocks, lay piled in strange chaos; then he realized there was an odd, but perceptible geometry to their arrangement. They showed alternate crystal and opaque faces. Old Rugel noted his look ...
— The Colors of Space • Marion Zimmer Bradley
 
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... moonbeams came down athwart the dormitory through the great windows, and lay in broad parallelograms, bisected and quartered, upon the floor. We got our geometry lesson out of the figures, and reeled off a whole section of theorems, without the least effect. That ought, by rights, to be enough to set a whole houseful of boys journeying into the Land of Nod, but ...
— The Little Gold Miners of the Sierras and Other Stories • Various
 
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... always possessed very little. And liking for study, none whatever. Sacred history, or any other history, Latin, French, rhetoric and natural history have interested me not at all. The only subjects for which I cared somewhat, were geometry and physics. ...
— Youth and Egolatry • Pio Baroja
 
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... played a prominent part in society during the Regency, but who had no salon in the proper sense of that word, was Mme. du Chatelet, commonly called Voltaire's Emilie. She was especially interested in sciences, mathematics, geometry, and astronomy, and did more than any other woman of that time to encourage nature study. It was at her Chateau de Cirey that Voltaire found protection when threatened with a second visit to the Bastille; and there, from time to time ...
— Women of Modern France - Woman In All Ages And In All Countries • Hugo P. Thieme
 
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... then, nature impress us as the outcome of chance? If we saw a faultlessly executed mathematical diagram illustrating a proposition in Euclid, should we really be satisfied with the statement that it represented the random pencil-strokes made by a blindfolded child ignorant of geometry? On the other hand, if a fretful baby is allowed to divert himself by hammering the piano keys, is the result ever remotely akin to a tune? We know perfectly well that we never get harmony, order, beauty, rationality ...
— Problems of Immanence - Studies Critical and Constructive • J. Warschauer
 
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... variability would not be excluded from it; for example, extensive agricultural labor and irrigation upon a large scale. Let us add, further, that the intervention of intelligent beings might explain the geometrical appearance of the gemination, but it is not at all necessary for such a purpose. The geometry of nature is manifested in many other facts from which are excluded the idea of any artificial labor whatever. The perfect spheroids of the heavenly bodies and the ring of Saturn were not constructed in a turning lathe, ...
— The Certainty of a Future Life in Mars • L. P. Gratacap
 
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... beyond our horizon, that is beyond our limit, there still must be something? You will answer, 'How do we know that?' Well, can there be any boundary without something beyond it? Is not that as true as any theorem in geometry? If it were not so, how could we explain the fact that mankind has never been without a belief in a world beyond, nor without religion, either in the lowest or in ...
— The Silesian Horseherd - Questions of the Hour • Friedrich Max Mueller
 
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... of preparation for future numbers, some large and elegant engravings, illustrative of some of the most interest and deeply scientific new inventions, together with illustrations of architecture, geometry and magnetism. Also a variety of ...
— Scientific American magazine, Vol. 2 Issue 1 • Various
 
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... polygamy, misogamist. GAS'TER, the stomach—gastric, gastronomy. GE, the earth—geography, geology, geological, geometry, George, apogee, perigee. GEN'NAEIN, to produce—genealogy, genesis, heterogeneous, homogeneous, hydrogen, nitrogen, oxygen. GIGNOS'KEIN, to know—diagnosis, diagnostic, prognosticate. GLOS'SA, GLOT'TA, the tongue—glossary, ...
— New Word-Analysis - Or, School Etymology of English Derivative Words • William Swinton
 
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... is a subjective reaction to a pleasing form. It is the same reaction that prompted artists to use tools as vehicles to help convey lessons in perspective, a frequent practice in 19th-century art manuals. The harmony of related parts—the balance of shaft and handle or the geometry of the twist—makes the auger a decorative object. This is not to say that the ancient woodworker's tool is not a document attesting a society's technical proficiency—ingenuity, craftsmanship, and productivity. It is only to suggest again that it is something ...
— Woodworking Tools 1600-1900 • Peter C. Welsh
 
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... viewed in the light in which they are here presented, are rather special branches of Mathematics, than distinct Sciences. But as we often speak of Geometry as a separate Science, although it is in reality only a division of the Mathematical domain, and is so classed by Comte; so there is a sense in which both Astronomy and Physics, as herein defined, may be ...
— Continental Monthly, Vol. 5, Issue 2, February, 1864 • Various
 
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... simply beyond my understanding altogether. Like geometry, you know. But I forgot to ask Nat something. I wonder if he has gone up to his room yet?" and Tavia ...
— Dorothy Dale's Queer Holidays • Margaret Penrose
 
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... in two parts, the trivium —grammar, rhetoric, and logic, and the quadrivium— music, astronomy, geometry, and arithmetic. These were the seven liberal arts. A fresco in a chapel in the Church of S. Maria Novella at Florence illustrates these arts. On the right of the cartoon is the figure of grammar; beneath is Priscian. For the study of this subject John Garland recommended Priscian and Donatus. Priscian ...
— Old English Libraries, The Making, Collection, and Use of Books • Ernest A. Savage
 
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... had not been a burden to her. She had her father's aptitude for study, and took up an original problem in geometry as most girls take ...
— Elizabeth Hobart at Exeter Hall • Jean K. Baird
 
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... about the Arctic regions, and the history of dancing from the days of Old Adam down to those of Old Nick, he couldn't write up a satisfactory account of the Ice-Men's Ball. Could prove that two and two made four by trigonometry and geometry, but couldn't learn to keep books; was thick as thieves with all the high-toned poets, but couldn't write a good, snappy, merchantable street-car ad.; knew a thousand diseases that would take a man off before he could ...
— Letters from a Self-Made Merchant to His Son • George Horace Lorimer
 
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... doing more for her than merely teaching her to spell. We talked about what she copied; and I had to explain. I also told her about the writers. Soon she expressed a desire to know something of figures. We commenced arithmetic. I proposed geometry along with it, and found the latter especially fitted to her powers. One by one we included several other necessary branches; and ere long I had four around the schoolroom table—equally my pupils. Whether the attempts previously made to instruct her had been insufficient or ...
— The Portent & Other Stories • George MacDonald
 
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... head in derision. "For my part, I prefer red blood to sap, and when I love I want to know it—I don't want to have it proved to me like a problem in geometry. I want to love and hate, and do wild, impulsive things against my ...
— The Silver Horde • Rex Beach
 
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... which proceeds accurately by demonstration, and practical. To practical mechanics all the manual arts belong, from which mechanics took its name. But as artificers do not work with perfect accuracy, it comes to pass that mechanics is so distinguished from geometry, that what is perfectly accurate is called geometrical; what is less so is called mechanical. But the errors are not in the art, but in the artificers. He that works with less accuracy is an imperfect mechanic: and if any could ...
— Prefaces and Prologues to Famous Books - with Introductions, Notes and Illustrations • Charles W. Eliot
 
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... quadrivials, the quadrivium, the four higher sciences: astrology, geometry, arithmetic, music, S3 (14. 511).—From Late Lat. quadrivium, the four mathematical sciences; in Lat. aplace where ...
— A Concise Dictionary of Middle English - From A.D. 1150 To 1580 • A. L. Mayhew and Walter W. Skeat
 
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... the Sixth Form assembled for the lesson in Geometry was on the top floor of the Study building; the windows overlooked the pond behind the Gymnasium. The teacher's desk was on a platform in the corner; a blackboard extended along two walls; and there were steps beneath the blackboard on which the students ...
— The Jester of St. Timothy's • Arthur Stanwood Pier
 
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... of life these dispositions break out. When these natural aptitudes are pushed beyond the usual limit, we find famous examples that history has cherished, and that we love to recall. There is Pascal, mastering at the age of twelve years the greater part of Plane Geometry without any instruction, and not a figment of Calculus, drawing on the floor of his chamber all the figures in the first book of Euclid, estimating accurately the mathematical relations of them all—that is, reconstructing for himself a part of descriptive Geometry; the herdsman Mangia ...
— Reincarnation and the Law of Karma - A Study of the Old-New World-Doctrine of Rebirth, and Spiritual Cause and Effect • William Walker Atkinson
 
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... of theology and state affairs) to discourse and consider of philosophical enquiries, and such as related thereunto:—as Physick, Anatomy, Geometry, Astronomy, Navigation, Staticks, Magneticks, Chymicks, Mechanicks, and Natural Experiments; with the state of these studies and their cultivation at home and abroad. We then discoursed of the circulation of the blood, the valves in the veins, the venae lacteae, the lymphatic ...
— Autobiography and Selected Essays • Thomas Henry Huxley
 
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... the Seven Wise Masters; and we have the beginnings of geometry, metaphysics, and ethics: then the partialists,—deducing the origin of things from flux or water, or from air, or from fire, or from mind. All mix with these causes mythologic pictures. At last, comes Plato, the distributor, who needs no ...
— Representative Men • Ralph Waldo Emerson
 
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... was the study his father wished him specially to follow, but he was eager too to learn Greek, which had lately been introduced into the University, and to improve his Latin style. He also wrote verses, as was beginning to be the fashion with young men, and worked out problems in arithmetic and geometry, while, after his regular work was done, he would carry a French or Latin chronicle to his small window, and pore over the history of bygone times. In his spare moments he would play some old music on the flute or ...
— The Red Book of Heroes • Leonora Blanche Lang
 
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... mathematical discipline. Hence, he asserts of theoretic arithmetic that it imparts no small aid to our ascent to real being, and that it liberates us from the wandering and ignorance about a sensible nature. Geometry too is considered by him as most instrumental to the knowledge of the good, when it is not pursued for the sake of practical purposes, but as the means of ascent to an intelligible essence. Astronomy also is useful for the purpose of investigating ...
— Introduction to the Philosophy and Writings of Plato • Thomas Taylor
 
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... present number. In France, it is divided into a Faculte des Lettres and a Faculte des Sciences. The present comprehensive use of the term is but an extension of the Middle-Age division of the liberal arts into the Trivium,—Grammar, Rhetoric, Dialectics,—and the Quadrivium,—Arithmetic, Music, Geometry, and Astronomy,—as expressed in ...
— Atlantic Monthly, Volume 7, Issue 41, March, 1861 • Various
 
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... they take for falsehood. And if Christians, they are both irreverent and blind to all analogy. The Messiah, with His Divine mission proved by miracles which all might see who chose to look, is degraded into a prototype of James Laurie, ingeniously astronomizing upon ignorant geometry and false logic, and comparing to blockheads those who expose his nonsense. Their comparison is as foolish as—supposing {6} them Christians—it is profane: but, like errors in general, its other ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan
 
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... a rare example of the verification of algebraic calculation by direct demonstration. In general, we may employ geometry, which gives a graphic representation of calculation and furnishes a valuable control. Sometimes we have practical application, which is a very important verification in some respects, but only approximate in others. But it is ...
— Scientific American Supplement, No. 315, January 14, 1882 • Various
 
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... arithmetician, cunning enough for multiplication and addition, but cannot abide subtraction: summa totalis is the language of his Canaan, and usque ad ultimum quadrantem the period of all his charity. For any skill in geometry I dare not commend him, for he could never yet find out the dimensions of his own conscience; notwithstanding he hath many bottoms, it seemeth this is always bottomless. And so with a libera nos a malo I leave you, promising to amend whatsoever is ...
— Character Writings of the 17th Century • Various
 
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... dangling crows which illustrated the pages of his Burnouf grammar were all dated the previous year, and he had entirely renounced feeding silkworms in his desk. Everything pointed to his not being a very practical man. Geometry disgusted him, and as for dates, he could not remember one. On holidays he liked to walk by himself through quiet streets; he read poems at the bookstalls, and lingered in the Luxembourg Gardens to see the sun set. Destined to be a dreamer and a sentimentalist—so ...
— A Romance of Youth, Complete • Francois Coppee
 
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... the wrang. We had no richt to speik aboot things 'at only twa kent, whan there was three walkin' thegither.—Ye see, Miss Elsie, her an' me was at the schuil thegither, an' we happent to tak' up wi' the same kin' o' thing, partic'larly algebra an' geometry, an' can ill haud oor tongues frae them whan we forgather. The day, it's been to the prejudice o' oor mainners, an' I beg ye ...
— Warlock o' Glenwarlock • George MacDonald
 
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... Condorcet, Algebra, and Geometry of Clairaut, the Trigonometry of Lacroix or Legendre, to form ...
— How to Form a Library, 2nd ed • H. B. Wheatley
 
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... Oriental rug, are quite as correct in drawing and as little of a puzzle. As men became more intelligent, hence spiritualised, they began to express themselves in ideal ways; to glorify the commonplace; and thus they passed from Egyptian geometry to ...
— Pictures Every Child Should Know • Dolores Bacon
 
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... The creature described by Berosus lived in the Persian Gulf, landing during the day to teach the inhabitants the building of houses and temples, the cultivation of useful plants, the gathering of fruits, and also geometry, law, and letters. From him, too, came the account of the beginning of things referred to in chapter III. which, in the original Greek, is preceded by a description of the composite monsters said to have existed before Merodach assumed ...
— The Religion of Babylonia and Assyria • Theophilus G. Pinches
 
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... root of the matter. There is rather the implication in most of the criticisms and praises that the scenery is abstract. Quite the contrary is the case. Indoors looks like indoors. Streets are always streets, roofs are always roofs. The actors do not move about in a kind of crazy geometry as I was led to believe. The scenery is oppressive, but sane, and the obsession is for the most part expressed in the acting and plot. The fair looks like a fair and the library looks like a library. There is nothing experimental about ...
— The Art Of The Moving Picture • Vachel Lindsay
 
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... reason that all the ancients attributed the invention of geometry to the Egyptians. The perpetual encroachments of the Nile and the displacements it occasioned, the facility with which it effaced the boundaries of the fields, and in one summer modified the whole face of a nome, had forced them from early times to measure with the greatest exactitude ...
— History Of Egypt, Chaldaea, Syria, Babylonia, and Assyria, Volume 2 (of 12) • G. Maspero
 
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... OF ALEXANDRIA.—The great Libraries, Observatories, Botanical Gardens, Menageries, Dissecting Houses.—Its Effect on the rapid Development of exact Knowledge.—Influence of Euclid, Archimedes, Eratosthenes, Apollonius, Ptolemy, Hipparchus, on Geometry, Natural Philosophy, ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper
 
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... or of an orator. His attention had been confined to those studies which form strenuous and sagacious men of business. From a child he listened with interest when high questions of alliance, finance, and war were discussed. Of geometry he learned as much as was necessary for the construction of a ravelin or a hornwork. Of languages, by the help of a memory singularly powerful, he learned as much as was necessary to enable him to comprehend and answer without assistance everything that was said to him, and every ...
— The History of England from the Accession of James II. - Volume 2 (of 5) • Thomas Babington Macaulay
 
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... a school-boy who being unable to master a school-problem in geometry retired to bed still thinking of the subject; he was found late at night by his instructor on his knees pointing from spot to spot as though he were at the blackboard. He was so absorbed that he paid no attention to the light of the candle, nor to the speech addressed to him. The next ...
— Anomalies and Curiosities of Medicine • George M. Gould
 
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... the other of Classics. In the former the First Year was devoted to the study of six books of Euclid, Algebra to the end of Quadratic Equations, and Trigonometry to the end of the solution of Plain Triangles. In the second year the course included a repetition of all the first year work, Analytic Geometry, Differential and Integral Calculus, and Logic, consisting of Fallacies, Induction and "a sketch of a system of Philosophy of the Human Mind." The work of the third or final year was in Physics, Astronomy, and Ethics, principally "Butler's Analogy." In the Classics course selections ...
— McGill and its Story, 1821-1921 • Cyrus Macmillan
 
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... his language—the written and the spoken: likewise, of course, he must learn native history and native morals. Besides these Oriental studies, his course includes foreign history, geography, arithmetic, astronomy, physics, geometry, natural history, agriculture, chemistry, drawing, and mathematics. Worst of all, he must learn English—a language of which the difficulty to the Japanese cannot be even faintly imagined by anyone unfamiliar with the construction ...
— Glimpses of an Unfamiliar Japan • Lafcadio Hearn
 
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... be, in the manner of the driving, he takes great pains to carve the reins, to show you where they are knotted, and how they are fastened round the driver's waist (you recollect how Hippolytus was lost by doing that), but he does not care the least bit about the chariot, and having rather more geometry than he likes in the cross and circle of one wheel of it, entirely omits ...
— The Crown of Wild Olive • John Ruskin
 
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... in the development of Descartes' system of thought preceded the metaphysical. His great achievements in analytical geometry, in optics, in physical research, his explanation of the laws of nature, and their application in his theory of the material universe, belong to the history of science. Algebra and geometry led him towards his method in ...
— A History of French Literature - Short Histories of the Literatures of the World: II. • Edward Dowden
 
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... vested in the hands of the Corporation of London and the Mercers' Company. These public bodies were jointly to nominate seven professors, who should lecture successively, one on every day of the week, on the seven sciences of Divinity, Astronomy, Music, Geometry, Law, Medicine, and Rhetoric. The salaries of the lecturers were defrayed by the profits arising from the Royal Exchange, and were very liberal. The wisdom of my patron is shown by the sciences he directed should be taught. ...
— The Golden Grasshopper - A story of the days of Sir Thomas Gresham • W.H.G. Kingston
 
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