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More "Mathematical" Quotes from Famous Books



... placid woman, of the flabby order of nerves. She will probably faint when she hears what has happened. She might box a man's ears, but her arm would never drive a dagger home into his heart, especially with such beautiful, almost mathematical accuracy. We must look elsewhere, I fancy, for the person who has paid Bentham's debt to society. Heneage, here, ...
— The Avenger • E. Phillips Oppenheim

... is no doubt sufficient capacity in one-inch pipes for minor drains; but, inasmuch as agricultural laborers are not mathematical scholars, and are apt to lay the pipes without precise junctions, it is best to have the pipes so large as to counteract that degree of carelessness which cannot be prevented. The ordinary price of pipes in this country will run thus: meaning above, ...
— Farm drainage • Henry Flagg French

... field and get down to business," suggested Mr. Perry. "If we're able to put this thing through along mathematical lines, I bet you boys will have enough imagination to tell me why mathematics and imagination can put any ...
— The Radio Boys in the Thousand Islands • J. W. Duffield

... Beech Street. Beech Street is a short street, and ends in a nondescript unlighted waste patch of ground. They arrived in the gloom of this patch, safe from all human inquisitiveness, and then Richard Morfe warmly kissed Eva Harracles in the mathematical centre of those lips of hers. And Eva Harracles showed no resentment of any kind, nor even shame. Yet she had been very carefully brought up. The sight would have interested Bursley immensely; it would have appealed ...
— The Matador of the Five Towns and Other Stories • Arnold Bennett

... country who had been under great depths of exercise, or were still under such depths, and endeavoured to converse with them.' Guthrie is almost as dry as Euclid himself, and almost as severe, but, then, he demonstrates almost with mathematical demonstration the all-important things he sets out to prove. There is no room for rhetoric on a finger- post; in a word, and, sometimes without a word, a finger-post tells you the right way to take to get to your journey's end. And many who have wandered into a far country have found their way home ...
— Samuel Rutherford - and some of his correspondents • Alexander Whyte

... however, it was afterwards found, had been anticipated by A. Peaucellier. Chebichev further constructed an instrument for drawing large circles, and an arithmetical machine with continuous motion. His mathematical writings, which account for some forty entries in the Royal Society's catalogue of scientific papers, cover a wide range of subjects, such as the theory of probabilities, quadratic forms, theory ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 1 - "Chtelet" to "Chicago" • Various

... astronomy in a succinct, popular form. No mathematical knowledge beyond the simplest outlines is assumed on the part of the reader. The great underlying facts and principles of astronomy are presented in a shape which any intelligent person can comprehend. ...
— A Field Book of the Stars • William Tyler Olcott

... speech and banish all rhetoric from these pages, one is at a loss to characterise Union arrangements and post-Union finance. Let it suffice to say that they combined the moral outlook of Captain Kidd with the mathematical technique of a super-bucket-shop. From the first Great Britain robbed the Irish till; from the first she skimmed the cream off the Irish milk, and appropriated it for her own nourishment. One has a sort of gloomy pride in remembering ...
— The Open Secret of Ireland • T. M. Kettle

... study of the earth the Arabians showed themselves to be practical and accurate geographers. They applied their mathematical and astronomical knowledge to the study of the earth, and thus gave an impulse to exploration. While their theories of the origin of the earth were crude and untenable, their practical writings on the subject derived from real knowledge, and the practical instruction in schools ...
— History of Human Society • Frank W. Blackmar

... it by rote, without being aware of the principles upon which the calculations they use are founded. As lieutenants, their services as to navigation are seldom required, and they rapidly forget all about it. As captains, their whole remnant of mathematical knowledge consists in being able to set down the ship's position on the chart. As for navigating the ship, the master is answerable; and the captains not being responsible themselves, they trust entirely to his reckoning. Of course ...
— Peter Simple and The Three Cutters, Vol. 1-2 • Frederick Marryat

... formations present the same regular irregularities of form. Crystals approach the nearest to mathematical figures, but they break with compound irregular fractures at their bases of attachment. Nature gives no perfect mathematical figures; they only approximate mathematical perfection. Infidels do not trouble themselves with science on this account. "The utter absence of any ...
— The Christian Foundation, Or, Scientific and Religious Journal, Volume I, No. 7, July, 1880 • Various

... in Babylonia—why should one group be assumed to be older than the other? The only ground for suggesting that these groups had not each a separate evolution, is the assumption that man was "created" once for all, and created summarily; in which case it follows with mathematical precision that the ultimate ancestry of every man living extends back to exactly the same date. That is to say, the highest and the lowest, the blackest and the whitest, only differ in this, that some men began to keep records earlier than ...
— Ancient China Simplified • Edward Harper Parker

... of bookkeeping, and the fine business hand he wrote, but where it seemed to him sometimes that the earlier learning of the public school had been hermetically sealed within him by several coats of mathematical varnish. He believed that he had once known a number of things that he no longer knew, and that he had not always been so weak in his double letters as he presently ...
— Henry James, Jr. • William Dean Howells

... the least reflection makes us discover at once that what he says is incompatible with the essence which he attributes to his God. Therefore, what is God? It is an abstract word, coined to designate the hidden forces of nature; or, it is a mathematical point, which has neither length, breadth, nor thickness. A philosopher [David Hume] has very ingeniously said in speaking of theologians, that they have found the solution to the famous problem of Archimedes; a point in ...
— Superstition In All Ages (1732) - Common Sense • Jean Meslier

... is needless. Geometrically, every line is imaginary; its graphic representation is a mark. True the text-books say, draw a line, but in a mathematical sense the line already exists; the drawing only ...
— Write It Right - A Little Blacklist of Literary Faults • Ambrose Bierce

... know where you come from nor how you come to be what you are, but you are outside and above all vulgarising influences. Besides, you ought to know," the young man proceeded, in the same cool, mild, deliberate tone, as if he were demonstrating a mathematical solution, "you ought to know that your connexion with all these rantings and ravings is the most unreal, accidental, illusory thing in the world. You think you care about them, but you don't at all. They were imposed upon you by circumstances, by ...
— The Bostonians, Vol. II (of II) • Henry James

... of the Clarendon Trustees, as well as every other subject of human or inhuman, interest, capable of consideration, it has occurred to me to suggest for your consideration how desirable roofed buildings are for carrying on mathematical calculations; in fact, the variable character of the weather in Oxford renders it highly inexpedient to attempt much occupation, of a sedentary ...
— The Bed-Book of Happiness • Harold Begbie

... of her aunt's love for them, and she had not been in the conservatories for months. John said a word or two on the cost of keeping them up, and the need of prudence, with a view to providing for Arthur's children. It was the right chord. She looked up, puzzled: her mathematical knowledge had ...
— Heartsease - or Brother's Wife • Charlotte M. Yonge

... therefore to a mathematical demonstration, that nearly one-half of Mr. Seymour's vote was fraudulent; and of that fact concealment is no longer attempted from any respectable source. It has been matter of surprise to the cotemporaries of Mr. Seymour, that sensitive as he has shown himself on many occasions in regard to ...
— Twenty Years of Congress, Volume 2 (of 2) • James Gillespie Blaine

... before the election. It was a powerful campaign document. People had not realised what an avenging hand pursued Tammany, but they now understood that Tweed was a common thief, and that Tilden, by reducing strong suspicion to a mathematical certainty, had closed the ...
— A Political History of the State of New York, Volumes 1-3 • DeAlva Stanwood Alexander

... nymph for you if he so wills, but her flesh will ripple and run in the sunlight. His art is one of accents. He works by profile in depth, not by surfaces. He swears by what he calls "cubic truth"; his pattern is a mathematical figure; the pivot of art is balance, i.e., the oppositions of volume produced by movement. Unity haunts him. He is a believer in the correspondences of things, of the continuity in nature; a mystic as well as a geometrician. Yet such a realist is he that he quarrels with any ...
— Promenades of an Impressionist • James Huneker

... acquaintance with Greek civilisation. The debt incurred by English theology, philosophy, and music, to Germany, offers but a faint parallel. If we add to this our obligations to Italy for painting and sculpture, to France for mathematical science, popular comedy, and the culture of the salon, to the Jews for finance, and to other nations for those town amusements which we are so slow to invent for ourselves, we shall still not have exhausted ...
— A History of Roman Literature - From the Earliest Period to the Death of Marcus Aurelius • Charles Thomas Cruttwell

... we now possess of the form and dimensions of this globe of earth and water which we inhabit, has been entirely owing to the superior skill of the moderns in the mathematical sciences, as applicable to the practice of navigation, and to the observation and calculation of the motions of the heavenly bodies, for the ascertainment of latitudes and longitudes. It would require more ...
— A General History and Collection of Voyages and Travels, Volume X • Robert Kerr

... I felt that some of my freshmen and sophomores could not possibly comply with the mathematical requirements. When I received from the printers my copies of the questions to be proposed to the classes I really felt that a few of my girls were going to have a hard time," and she smiled again, yet there was ...
— Ruth Fielding At College - or The Missing Examination Papers • Alice B. Emerson

... whosoever shall examine the contention of Benfeius "will be bound, in common honesty, to confess that it is untenable." This, Father, is "one for Benfeius," as the saying goes. And as Muellerus holds that these matters "admit of almost mathematical precision," it would seem that Benfeius is but a Dummkopf, as the Alemanni say, in their own language, when they ...
— Letters to Dead Authors • Andrew Lang

... may here refer to a curious mathematical calculation, by Dr. Thomas Young, to the effect, that if three words coincide in two different languages, it is ten to one they must be derived in both cases from some parent language, or introduced in some other manner. "Six ...
— Journals Of Expeditions Of Discovery Into Central • Edward John Eyre

... in the more complicated problems of mathematical astronomy. Give a woman ten minutes and she will describe a heliocentric parallax of the heavens. Give her twenty minutes and she will find astronomically the longitude of a place by means of lunar culminations. Give that same woman an hour and a half with the present fashions, and she can not find ...
— Model Speeches for Practise • Grenville Kleiser

... and get a headache over. Every insignificant word has, so to speak, its special meaning! For instance, "Hoist her top-sheets and mainsail!" What's it mean? A sailor can tell! He, he!—With almost mathematical precision! ...
— Plays by Chekhov, Second Series • Anton Chekhov

... he finds in men's judgment of their own actions, better still in their judgments of others' actions, best of all in their judgment of injuries inflicted on themselves. Nor does any objection hold from the ignorance of savages in matters of morality: they are equally ignorant of the plainest mathematical truths; the need of instruction does not take away the necessary difference of moral Good and Evil, any more than it takes away the necessary proportions of numbers. He, then, instead of deducing all our several duties ...
— Moral Science; A Compendium of Ethics • Alexander Bain

... mensuration, growing out of his mathematical knowledge, and his habit of ascertaining the measures and distances of objects which interested him, the size of trees, the depth and extent of ponds and rivers, the height of mountains, and the air-line distance of his favorite summits,—this, and his intimate knowledge of the territory ...
— The Atlantic Monthly, Vol. 10, No. 58, August, 1862 • Various

... etc.[101] Besides these fantastic meanings, there are more complicated inventions—calculating, from the letters of one's name, the years of life of a sick person, the auspices of a marriage, etc. The Pythagorean philosophy, as Zeller has shown, is the systematic form of this mathematical mysticism, for which numbers are not symbols of quantitative relations, but ...
— Essay on the Creative Imagination • Th. Ribot

... and Lionel happened then to be cashier of the Bursley branch of the bank. He had in mind two possible wives, each of whom possessed advantages which appealed to him, and he was unable to decide between them by any mathematical process. Suddenly, from a glazed shelter near the empty bandstand, there emerged in front of him one of the delectable creatures who had excited his fancy. May Lawton was twenty-eight, an orphan, and a schoolmistress. She, too, had celibate rooms in ...
— Tales of the Five Towns • Arnold Bennett

... care, sir!" said M. Galpin. "Justice, whom I here represent, has the right and the means to enforce respect. You are a physician, sir; and your science is able to answer my question with almost mathematical accuracy." ...
— Within an Inch of His Life • Emile Gaboriau

... occupied the place of honour over the mantel. On the marble-topped table in the exact centre of the room was a basket of wax flowers and fruit, covered by a bell-shaped glass shade. Miss Hitty's album and her Bible were placed near it with mathematical precision. On the opposite wall was a hair wreath, made from the shorn locks of departed Smiths by Miss Hitty's mother. The proud possessor felt a covert reproach in the fact that she herself ...
— A Spinner in the Sun • Myrtle Reed

... English-speaking Secretary. I asked questions about the auxiliary invention (which I call "No. 2 ") and got as good an idea of it as I could. It is a machine. It automatically punches the holes in the jacquard cards, and does it with mathematical accuracy. It will do for $1 what now costs $3. So it has value, but "No. 2" is the great thing(the designing invention.) It saves $9 out of $10 and the jacquard looms must ...
— Innocents abroad • Mark Twain

... We'll stay here. Mrs. Owen,—the thicker the merrier." But Elsley had vanished into a chamber bestrewn with plaids, pipes, hob-nail boots, fishing-tackle, mathematical books, scraps of ore, and the wild confusion of ...
— Two Years Ago, Volume II. • Charles Kingsley

... that it is not necessary to have brains to make it, nor knowledge of reading to read it. It is a marvellous work, also, in that it offers a regular and new sense every time its pages are shuffled. It is a contrivance never to be too much admired, because out of mathematical principles it extracts thousands on thousands of curious combinations, and so many singular affinities that it is believed, contrary to all truth, that in it are discoverable the secrets of hearts, the mystery of destinies and the arcanum of the ...
— The Queen Pedauque • Anatole France

... it will require further research, and probably close investigation, both experimental and mathematical, before the exact mode of action between a magnet and metal moving relatively to each other is ascertained; yet many of the results appear sufficiently clear and simple to allow of expression in a somewhat general manner.—If a terminated wire move so as to cut a magnetic curve, a power is called ...
— Experimental Researches in Electricity, Volume 1 • Michael Faraday

... and defiance, festivity and joy, sad remembrance, remorse, pity, penitence, self-denial, love, adoration—may find some fit medium of sound in which to express itself. And, what is not less remarkable, connected with all these forms of substances there are mathematical laws of length and breadth, or definite proportions of each, and reflective angles, that are every way as exact as those which regulate the colors of the prism, the images of the mirror, or the telescopic light of astronomic worlds—mathematics ...
— Library of the World's Best Literature, Ancient and Modern, Vol. 7 • Various

... Mr Minns, the mathematical master, was built on wires, and expected one rapid explanation of the most complex rule to make it clear as crystal. After twenty years spent in teaching, he still professed to be prostrated with horror ...
— Etheldreda the Ready - A School Story • Mrs. George de Horne Vaizey

... associate defective human sympathy with his kind heart and large dramatic imagination, though that very imagination was an important factor in the case. It forbade the collective and mathematical estimate of human suffering, which is so much in favour with modern philanthropy, and so untrue a measure for the individual life; and he indirectly condemns it in 'Ferishtah's Fancies' in the parable of 'Bean Stripes'. But his dominant ...
— Life and Letters of Robert Browning • Mrs. Sutherland Orr

... naval tactics therein contained was wrong, that decisive actions could be fought only by concentrating superior forces on inferior. One can imagine the derision heaped on the landlubber who presumed to teach admirals their business, but there was no dodging the force of his point. Of course the mathematical precision of his paper victories depended on the enemy's being passive while the attack was carried out, but fundamentally he was right. The history of the past hundred years showed the futility of an unbroken line ahead, with van, center, and rear ...
— A History of Sea Power • William Oliver Stevens and Allan Westcott

... whose memory a few old men of the neighbourhood still cherished fondly, had died at twenty; she had left him her fine eyes, full of gentleness and passion, her pallor and timidity. From his father, optician and mathematical instrument maker to the King, carried off by the same complaint before his thirtieth year, he inherited an upright character and an ...
— The Gods are Athirst • Anatole France

... for the performance of such a duty[*], I have endeavoured to work out its views with that unity of plan which must result from a mathematical principle, and which has enabled me to bring to a satisfactory conclusion, after the lapse of many years, and in the face of considerable difficulty, an undertaking commenced at the command of my Sovereign, ...
— Journal of an Expedition into the Interior of Tropical Australia • Thomas Mitchell

... was sufficient, he addressed himself to mathematical calculations which appeared exhaustive of every rule and branch of the disciplinary science. Hours flew by, and still he worked. He received Syama's call to breakfast; returning from the meal, always the simplest of the day with him, he resumed the ...
— The Prince of India - Or - Why Constantinople Fell - Volume 1 • Lew. Wallace

... "Quantities like length, breadth, distance and magnitude, are susceptible of exact mathematical determination; human actions ...
— The Art of War • Sun Tzu

... laboratory and, by doing so, won the greatest prize in modern telephone art. His researches resulted in the famous "Pupin coil" by the expedient now known as "loading." When the scientists attempt to explain this invention, they have to use all kinds of mathematical formulas and curves and, in fact, they usually get to quarreling among themselves over the points involved. What Professor Pupin has apparently done is to free the wire from those miscellaneous disturbances known as "induction." ...
— The Age of Big Business - Volume 39 in The Chronicles of America Series • Burton J. Hendrick

... officiate for me here, and save me from the degradation of trying 'whether there be more than six ways of nicking seven on the dice, allowing seven to be the main and eleven to be a nick to seven'—a question, after all, admitting of no doubt, and capable of mathematical demonstration." ...
— A Book About Lawyers • John Cordy Jeaffreson

... one of the most gallant and genial of men, in whom it was fully demonstrated that "the bravest are the tenderest." It was a pyramidal pile, about eight feet high, of carefully selected stones, laid without mortar, but with mathematical precision; and on one stone near the top was scratched a name dear ...
— The Atlantic Monthly, Volume 20, No. 122, December, 1867 • Various

... have been otherwise expressed, but this is well enough a-conscience. In your way, the wit of man shall not prevent this or the like inconvenience; but if this (for I have conferred with artists) be a mathematical demonstration, I could kneel to you, that ere it be too late we might return to some kind of sobriety. If we empty our purses with these pomps, salaries, coaches, lackeys, and pages, what can the people say less than that we have dressed a Senate and a prerogative ...
— The Commonwealth of Oceana • James Harrington

... other two. On the one side is the notion that there is a mystic bond between wrong and punishment; on the other, that the infliction of pain is only a means to an end. Hegel, one of the great expounders of the former view, puts it, in his quasi mathematical form, that, wrong being the negation of right, punishment is the negation of that negation, or retribution. Thus the punishment must be equal, in the sense of proportionate to the crime, because its only function is to destroy it. Others, without this logical apparatus, ...
— The Common Law • Oliver Wendell Holmes, Jr.

... masterpieces of French and Italian literature, and a marked predilection for music, which is greatly cultivated, and which (as always results from a taste for the fine arts) brings the different classes of society nearer to each other. The mathematical sciences, drawing, and painting, cannot here boast of any of those establishments with which royal munificence and the patriotic zeal of the inhabitants have enriched Mexico. In the midst of the marvels of nature, so rich in interesting productions, it is strange that we found no person ...
— Equinoctial Regions of America • Alexander von Humboldt

... is a rule that, a proposition being proved false, its opposite is true, and vice versa. In fact, this is the principal method of mathematical demonstration. In social economy, it is not the same: thus we see, for example, that property being proved by its results to be false, the opposite formula, communism, is none the truer on this account, but is deniable at ...
— The Philosophy of Misery • Joseph-Pierre Proudhon

... the basis of deductive reasoning may be taken from various sources. Sometimes the truth is self-evident or intuitive, as the axioms that lie at the basis of mathematical reasoning. Sometimes they are truths arrived at by inductive processes. Sometimes they are maxims that have gained the assent of mankind; and again, they are the statements of an accepted philosophy, creed, code, or ...
— Elementary Guide to Literary Criticism • F. V. N. Painter

... department of the science. The 'introduction' would contain prolegomena not only for the penal code but for the other departments of inquiry which he intended to exhaust.[356] He had to lay down primary truths which should be to this science what the axioms are to mathematical sciences.[357] These truths therefore belong to the sphere of conduct in general, and include ...
— The English Utilitarians, Volume I. • Leslie Stephen

... in the neighborhood, but she had not written enough about it to satisfy his desire. Why did she not give details? he asked. He reproachfully added that if he had been writing to her of a new-fashioned cap, he would have taken compass in hand and described it with mathematical accuracy. This she should have done concerning the great hunt if she had really wished ...
— Lafayette • Martha Foote Crow

... said Jim, with rather grim humor. "One gets used to that, and resolution counts when you're fighting a snowslide or a flood; but we're up against another proposition now. It's so to speak, mathematical; nothing coming in and much going out! When we have no stores and money left ...
— Partners of the Out-Trail • Harold Bindloss

... may be discovering comets, like Miss Herschell; one may be laying open the mathematical structure of the universe, like Mrs. Somerville; another may be analyzing the chemical relations of Nature in the laboratory; another may be penetrating the mysteries of physiology; others may be applying science in the healing of diseases; ...
— History of Woman Suffrage, Volume I • Elizabeth Cady Stanton, Susan B. Anthony, and Matilda Joslyn Gage

... beginning of the fourteenth centuries, again began to decline. With this decline the Equilateral Triangle was almost lost sight of, and then a mode of setting out work by diagonal squares was taken up, for such is the basis found exactly applicable to the work of the fifteenth century, since which time mathematical proportions have been generally employed." And after referring to numerous scale drawings of Churches, windows, doors, and arches, he points out that every student of Church architecture must pronounce those of the untraceried and traceried first point to be the ...
— Science and the Infinite - or Through a Window in the Blank Wall • Sydney T. Klein

... between the earth and the stars by means of mathematical calculations. You should procure some work on astronomy. There is a nice little book published in our office called "The Heavens and the Earth," and another, rather larger, called "The Midnight Sky;" both ...
— The Girl's Own Paper, Vol. VIII, No. 354, October 9, 1886 • Various

... received it, but he advised me to do it myself. So home with it and to dinner; after dinner I forth with my boy to buy severall things, stools and andirons and candlesticks, &c., household stuff, and walked to the mathematical instrument maker in Moorefields and bought a large pair of compasses, and there met Mr. Pargiter, and he would needs have me drink a cup of horse-radish ale, which he and a friend of his troubled with ...
— Diary of Samuel Pepys, Complete • Samuel Pepys

... the aetherial medium will agree with our experience; and, as the natural result, several outstanding problems will be explained on a physical basis, which at the present time cannot be satisfactorily explained except from the mathematical standpoint. ...
— Aether and Gravitation • William George Hooper

... for, besides taking care in general to conduct all my thoughts according to its rules, I reserved some hours from time to time which I expressly devoted to the employment of the method in the solution of mathematical difficulties, or even in the solution likewise of some questions belonging to other sciences, but which, by my having detached them from such principles of these sciences as were of inadequate certainty, were rendered almost mathematical: ...
— A Discourse on Method • Rene Descartes

... pursue his own way, and not his father's or his mother's or his neighbor's instead. The youth may build or plant or sail, only let him not be hindered from doing that which he tells me he would like to do. It is by a mathematical point only that we are wise, as the sailor or the fugitive slave keeps the polestar in his eye; but that is sufficient guidance for all our life. We may not arrive at our port within a calculable period, but we would preserve ...
— Walden, and On The Duty Of Civil Disobedience • Henry David Thoreau

... Great halls seem to have been easy architecture. Naves and transepts were not often failures; facades and even towers and fleches are invariably more or less successful because they are more or less balanced, mathematical, calculable products of reason and thought. The most serious difficulties began only with the choir, and even then did not become desperate until the architect reached the curve of the apse, with its impossible vaultings, ...
— Mont-Saint-Michel and Chartres • Henry Adams

... the railroad's mileage within the State bears to its total mileage.[669] To the objection that the mileage formula was inapplicable in this instance because of the disparity of the revenue-producing capacity between the lines in and out of the State, the Court answered that mathematical exactitude in making an apportionment had never been a constitutional requirement. "Wherever," it explained, "the State's taxing authorities have been held to have intruded upon the protected domain of interstate commerce in their use ...
— The Constitution of the United States of America: Analysis and Interpretation • Edward Corwin

... his property was all in his business at the time when Cesar put his savings into the Funds; he had suffered, like others, under the Maximum, and the pickaxes and other implements of his trade had been requisitioned. His reserved and judicious nature, his forethought and mathematical reflection, were seen in his methods of work. The greater part of his business was conducted by word of mouth, and he seldom encountered difficulties. Like all thoughtful people he was a great observer; he let people talk, and then studied them. He often refused advantageous ...
— Rise and Fall of Cesar Birotteau • Honore de Balzac

... will, and combining by gentle contacts with others floating near them, form large and fleecy flakes, involving the nicest complications of structure, and filling the air with a kind of beauty in which the expression of softness and gracefulness is combined with that of mathematical symmetry ...
— Harper's Young People, February 10, 1880 - An Illustrated Weekly • Various

... long train of torch-bearers defiles through the silent midnight streets to the sound of solemn music, and passing by the dark cemetery of the real dead, bear through 'Tutor's Lane' the coffin of their mathematical ancestor. They climb the hill beyond, and commit him to the flames, invoking Pluto, in Latin prayer, and chanting a final dirge, while the flare of torches, the fearful grotesqueness of each uncouth disguised wight, ...
— The Continental Monthly, Vol. 2, No 3, September, 1862 - Devoted to Literature and National Policy. • Various

... operations of arithmetic is so obvious as to require no discussion. Beyond this point, however, difficult problems arise. The probabilities are that the social and vocational conditions of the coming generation will require that everybody be more mathematical-minded than at present. ...
— What the Schools Teach and Might Teach • John Franklin Bobbitt

... Samuel's mistake the other way. I do not believe that God has diminished the evidence of His Revelation in order to try us; but I do maintain that the Revelation which He has made does come to us, and must come to us, in such a form as that, not by mathematical demonstration but by moral affinity, we shall be led to recognise and to bow to it. He that will be ignorant, let him be ignorant, and he that will come asking for truth, it will flood his eyeballs with a blessed illumination. The veil ...
— Expositions of Holy Scripture - St. Matthew Chaps. IX to XXVIII • Alexander Maclaren

... much pomp and ceremony, within the precincts of Barchester Cathedral; and a monument was put up to him soon after, in which he was portrayed as smoothing a block of granite with a mallet and chisel; while his eagle eye, disdaining such humble work, was fixed upon some intricate mathematical instrument above him. Could Sir Roger have seen it himself, he would probably have declared, that no workman was ever worth his salt who looked one way ...
— Doctor Thorne • Anthony Trollope

... intellectual additions made by Pythagoras to human wisdom seem to have been vast and permanent. By probable testimony, he added largely to mathematical science; and his discoveries in arithmetic, astronomy, music, and geometry, constitute an era in the history of the mind. His metaphysical and moral speculations are not to be separated from the additions or corruptions of his disciples. ...
— Athens: Its Rise and Fall, Complete • Edward Bulwer-Lytton

... protest, but Miss Slade took no notice and continued in even, dispassionate tones, as if she had been explained a mathematical problem. ...
— The Rayner-Slade Amalgamation • J. S. Fletcher

... rudiments fared as ill as its eternal rival, theology. There was a mathematical master, but nobody learned anything from him, or took any notice of him. In his anxiety for position the unfortunate man asked Keate if he might wear a cap and gown. 'That's as you please,' said Keate. 'Must the boys ...
— The Life of William Ewart Gladstone, Vol. 1 (of 3) - 1809-1859 • John Morley

... H.—Your answer to No. 4 of the mathematical puzzles is right. If you look carefully you will discover why ...
— Harper's Young People, December 2, 1879 - An Illustrated Weekly • Various

... cent of the peaches of the world. I pause to say here that none of these figures is true. They are all made up for the occasion. But don't despair! I am sure that they don't do California justice by half. Any other Californiac—with the mathematical memory which I unfortunately lack—will provide the correct data. Somebody told me once, I seem to recall, that the Santa Clara valley produces sixty per cent of the worlds prunes. But I may be mistaken. What I prefer to remember is one day's trip in that springtide ...
— The Native Son • Inez Haynes Irwin

... ground-floor with Gothic vaulting, and which still served its original purpose. A contemporaneous tower flanking the entrance contained the old spiral staircase leading to the upper rooms. I often lingered upon it in astonishment at the mathematical science shown in its design, and the mechanical perfection of its workmanship. What seemed to be a slender column round which the spiral vaulting turned was not really one, for each of the stone steps was so cut as to include a section of ...
— Two Summers in Guyenne • Edward Harrison Barker

... beauty in a village are not fine houses, costly fences, paved roadways, geometrical lines, mathematical grading, nor any obviously costly improvements. They are, rather, cosiness, neatness, simplicity, and that homely air that grows from these and from the ...
— Village Improvements and Farm Villages • George E. Waring

... arrangement or machinery, and with the number of identical or yet more of similar and analogous instances, until it rises to a moral certainty—i. e., to a conviction which practically we are as unable to resist as we are to deny the cogency of a mathematical demonstration. A single instance, or set of instances, of a comparatively simple arrangement might suffice. For instance, we should not doubt that a pump was designed to raise water by the moving of the handle. Of course, the conviction is the stronger, or at least the sooner arrived at, where ...
— Darwiniana - Essays and Reviews Pertaining to Darwinism • Asa Gray

... could have acted more wisely. Sir John complains that the opinion of that excellent mathematician, Mr. Thomas Simpson, did not preponderate in favour of the semicircular arch. But he should have known, that however eminent Mr. Simpson was in the higher parts of abstract mathematical science, he was little versed in mixed and practical mechanicks. Mr. Muller, of Woolwich Academy, the scholastick father of all the great engineers which this country has employed for forty years, ...
— Life Of Johnson, Vol. 1 • Boswell

... confined themselves exclusively to his style; and partly the fact that what is easily imitable in him is so conspicuous an element of the whole. The rigid framework which he adopted is easily definable with mathematical precision. The difference between the best work of Pope and the ordinary work of his followers is confined within narrow limits, and not easily perceived at a glance. The difference between blank verse in ...
— Alexander Pope - English Men of Letters Series • Leslie Stephen

... chuen, in the manuscripts. We are able to identify what must be regarded as metaphysical or esoteric applications of certain glyphs in certain places, such as the face numerals.[35-*] But every one of these points is either deducible directly by necessary mathematical calculation, or else from the names of certain signs given by Landa in his day and month list, and then found in other combinations, such as yax, kin, etc. That we have as many of the points as we have, and still ...
— Commentary Upon the Maya-Tzental Perez Codex - with a Concluding Note Upon the Linguistic Problem of the Maya Glyphs • William E. Gates

... did not, apparently, prove me to be in the right. Alexandre Le Mansel, as I heard from Avranches, regained his normal health, and as he grew towards manhood gave active proof of the brilliancy of his intellect. He worked with ardour at his mathematical studies, and he even sent to the Academy of Sciences solutions of several problems hitherto unsolved, which were found to be as elegant as they were accurate. Absorbed in his work, he rarely found time to ...
— Balthasar - And Other Works - 1909 • Anatole France

... decent, with which he entices us into the dialectic by-ways that lead (more correctly mislead) to his "categorical imperative"—makes us fastidious ones smile, we who find no small amusement in spying out the subtle tricks of old moralists and ethical preachers. Or, still more so, the hocus-pocus in mathematical form, by means of which Spinoza has, as it were, clad his philosophy in mail and mask—in fact, the "love of HIS wisdom," to translate the term fairly and squarely—in order thereby to strike terror ...
— Beyond Good and Evil • Friedrich Nietzsche

... measures: This information is presented in Appendix E: Weights and Measures and includes mathematical notations (mathematical powers and names), metric interrelationships (prefix; symbol; length, weight, or capacity; area; ...
— The 1998 CIA World Factbook • United States. Central Intelligence Agency.

... add an oath, do you think a wise man would swear that the sun is many degrees greater than the earth, before Archimedes had, before his eyes, made out all those calculations by which it is proved? If he does, then he will be despising the sun which he considers a god. But if he will not believe the mathematical calculations which employ a sort of constraint in teaching,—as you yourselves say,—surely he will be very far from believing the arguments of philosophers; or, if he does believe any such, which school will he believe? One may explain all the principles of natural philosophers, but it would ...
— The Academic Questions • M. T. Cicero

... present work—inevitable, perhaps, at the outset—as well as, the defence of the whole, to those deserving men, who have made my system their own. A philosophical system cannot come forward armed at all points like a mathematical treatise, and hence it may be quite possible to take objection to particular passages, while the organic structure of the system, considered as a unity, has no danger to apprehend. But few possess the ability, and still fewer the inclination, ...
— The Critique of Pure Reason • Immanuel Kant

... consequence that dividers and calipers should in themselves reflect the same sense of balance and grace that they were designed to govern. Still, even the most prosaic examples of woodworking tools, completely divorced from the quasi-mathematical devices of measure and proportion, have this quality and can be admired solely as decorative objects. This is most evident in the three European bench planes illustrated in figures 21, 22, and 23: one Norwegian, dated 1704; one Dutch (accession ...
— Woodworking Tools 1600-1900 • Peter C. Welsh

... been a mathematical scholar and head of his House at Harrow; in 1907 he passed into Woolwich, and two years later was commissioned in the Royal Engineers. He was early interested in aviation; in June 1912, after only three days' practice, he obtained ...
— The War in the Air; Vol. 1 - The Part played in the Great War by the Royal Air Force • Walter Raleigh

... taking mathematical views of the subject, they are in a dangerous way! Mr. Falkirk, it is imperatively necessary that I should at once rejoin the rest of society,— will you let yourself be torn from this ...
— Wych Hazel • Susan and Anna Warner

... of the mathematical sciences above the moral consists in this, that the ideas of the former, being sensible, are always clear and determinate, the smallest distinction between them is immediately perceptible, and the same terms are still expressive of the same ideas, without ...
— An Enquiry Concerning Human Understanding • David Hume et al

... quotation that she has travelled far from the old ideals which invested women with many beautiful qualities, but not with the sense and knowledge required of useful public citizens. She proceeds in the same article to say that scientific and mathematical teaching should reach a higher standard in girls' schools; and thirdly, that certain branches of psychology, physiology, and hygiene should receive greater attention, because a woman is a better wife ...
— Home Life in Germany • Mrs. Alfred Sidgwick

... then, we regard Swedenborg's doctrine of the future life as a free poetic presentment, not as a severe scientific statement, of views true in moral principle, not of facts real in literal detail. His imagination and sentiment are mathematical and ethical instead of asthetic and passionate. Milk seems to run in his veins instead of blood, but he is of truthfulness and charity all compact. We think it most probable that the secret of his supposed inspiration was the abnormal frequent or chronic turning ...
— The Destiny of the Soul - A Critical History of the Doctrine of a Future Life • William Rounseville Alger

... had been an associate of Cavour, I found him very interesting, as was also Sambuy, senator of the kingdom and syndic of Turin, who was with him. Minghetti said that the Italian school system was not yet satisfactory, though young men are doing well in advanced scientific, mathematical, historical, and economic studies. On my speaking of a statistical map in my possession which revealed the enormous percentage of persons who can neither read nor write in those parts of Italy most directly under the influence of the church, he said that matters were slowly ...
— Autobiography of Andrew Dickson White Volume II • Andrew Dickson White

... a climax when the sheep that Isaac had been sent to watch, overran the garden and demolished everything but the purslane and ragweed, while all the time the young man was under the hedge working out mathematical problems from his Descartes. ...
— Little Journeys to the Homes of the Great - Volume 12 - Little Journeys to the Homes of Great Scientists • Elbert Hubbard

... as director, they straightway set to work. The boy had an excellent head for such things; and his mathematical knowledge, together with the preparatory study in fortifications he had already pursued in the school, ...
— The Boy Life of Napoleon - Afterwards Emperor Of The French • Eugenie Foa

... exerts no gravitating or retarding force;" in short, Mr. Laing has to confess some uncertainty about his original dogma as to the triple constituents of the universe, and say "that it may be almost doubted whether such an ether has any real material existence, and is anything more than a sort of mathematical [why 'mathematical'?] entity." [60] "It is clear that matter really does consist of minute particles which do not touch," and even these we must conceive of as "corks as it were floating in an ocean of ether, causing ...
— The Faith of the Millions (2nd series) • George Tyrrell

... have taken the mathematical or map gradient and not the engineer's gradient. The latter is generally used, I understand, to measure the gradients of ...
— Ski-running • Katharine Symonds Furse

... stage of the work. How many women are there who have gone through any such process? Mrs. Somerville, alone perhaps of women, knows as much of mathematics as is now needful for making any considerable mathematical discovery: is it any proof of inferiority in women, that she has not happened to be one of the two or three persons who in her lifetime have associated their names with some striking advancement of the science? Two women, since political economy ...
— The Subjection of Women • John Stuart Mill

... had started in the Calle de Valverde. Calleja's Colegio de San Mateo had been suppressed by a government which was the sworn enemy of every form of enlightenment. The new seminary, however, continued the work of the old with little change: While there Jos carried his mathematical studies through higher algebra, conic sections, trigonometry, and surveying, and continued Latin, French, English, and Greek. If we may judge from later results, a course in rhetoric and poetics must have been of greatest benefit ...
— El Estudiante de Salamanca and Other Selections • George Tyler Northup

... take place in absolute space, and can then only be intelligible by admitting it." In dealing with the physical cause of Gravitation, I hope to be able to show that it can not only be admitted as a mathematical proposition, but that it can be made intelligible from ...
— Aether and Gravitation • William George Hooper

... than those of your father—his friend Henry Smith for example; but I never met any one who gave me the impression so much as he did, that he would have gone to the front in any pursuit in which he had seen fit to engage. Henry Smith had, in addition to his astonishing mathematical genius, and his great talents as a scholar, a rare faculty of persuasiveness. Your father used to speak with much admiration and some amusement of the way in which he managed to get people to take his view by appearing to take theirs; but he never could have been a power ...
— The Life and Letters of Thomas Henry Huxley Volume 2 • Leonard Huxley

... proofs are various. The "cosmological" one, so-called, reasons from the contingence of the world to a First Cause which must contain whatever perfections the world itself contains. The "argument from design" reasons, from the fact that Nature's laws are mathematical, and her parts benevolently adapted to each other, that this cause is both intellectual and benevolent. The "moral argument" is that the moral law presupposes a lawgiver. The "argument ex consensu gentium" is that the belief in God is so widespread ...
— The Varieties of Religious Experience • William James

... island, describe the tattooing as representing half-moons, birds, and irregular or zig-zag lines; but on a better acquaintance with Europeans, the fashion changed, and drawings of our tools, animals, and even compasses and mathematical instruments, were executed with the greatest exactness on their bodies. Pantaloons being articles in particular request among them, he who could not obtain a pair, comforted himself by having the representation ...
— A New Voyage Round the World in the Years 1823, 24, 25, and 26. Vol. 1 • Otto von Kotzebue

... unsaleable article generally produced in such seasons. Among the foremost who experimented with this object in view I will here name CHAPTAL, PETIOL; but especially DR. LUDWIG GALL, who has at last reduced the whole science of wine-making to such a mathematical certainty, that we stand amazed only, that so simple a process should not have been discovered long ago. It is the old story of the egg of Columbus; but the poor vintners of Germany, and France, and we here, are none the less deeply indebted to those intelligent and persevering ...
— The Cultivation of The Native Grape, and Manufacture of American Wines • George Husmann

... are such hidden stores of virtue and knowledge, such inexhausted sources of perfection! We know not yet what we shall be, nor will it ever enter into the heart of man to conceive the glory that will be always in reserve for him. The soul considered with its Creator, is like one of those mathematical lines that may draw nearer to another for all eternity, without a possibility of touching it: and can there be a thought so transporting, as to consider ourselves in these perpetual approaches to him, who is not only the standard ...
— The Young Gentleman and Lady's Monitor, and English Teacher's Assistant • John Hamilton Moore

... father was ill, and the nursery-maid anemic, the little misunderstanding will have disappeared by the time the aunt returns from Kew, and Zerlina will say, after carefully counting the children,—it is this mathematical tendency in mothers that hurts an aunt,—"I do trust you implicitly with the children, dear. You know that; it isn't every one I could trust; you are so capable! I wish I were, but one can't be everything. Of course you don't ...
— The Professional Aunt • Mary C.E. Wemyss

... the scientific method in the physical sciences rests upon the ignoring of individualities; and like many mathematical conventions, its great practical convenience is no proof whatever of its final truth. Let me admit the enormous value, the wonder of its results in mechanics, in all the physical sciences, in chemistry, even in physiology,—but ...
— First and Last Things • H. G. Wells

... with mathematical exactness in the form of a rectangle, nearly three and one-half miles long, from north to south, and about three miles wide, from east to west. In each direction were nine principal thoroughfares, those running east and west crossing the north and south streets ...
— A History of the Japanese People - From the Earliest Times to the End of the Meiji Era • Frank Brinkley and Dairoku Kikuchi

... of the Stoics is that "All faults are equal". They took their stand upon a mathematical conception of rectitude. An angle must be either a right angle or not, a line must be either straight or crooked, so an act must be either right or wrong. There is no mean between the two and there are no degrees of either. ...
— A Little Book of Stoicism • St George Stock

... distinguished themselves in their studies, belong the late Mrs. v. Kowalewska, who received in 1887 from the Academy of Sciences in Paris the first prize for the solution of a mathematical problem, and since 1884 occupied a professorship of mathematics at the University of Stockholm. In Pisa, Italy, a lady occupies a professorship in pathology. Female physicians are found active in Algiers, Persia and India. In the United States there are about 100 female professors, ...
— Woman under socialism • August Bebel

... to marriage, I mean these processions, and strippings, and exercises of the maidens in the sight of the young men, who, as Plato says, are more swayed by amorous than by mathematical considerations; moreover, he imposed certain penalties on the unmarried men. They were excluded from the festival of the Gymnopaedia, in honour of Athene; and the magistrates ordered them during winter to walk naked round the market-place, and while ...
— Plutarch's Lives, Volume I (of 4) • Plutarch

... into view all the mathematical proportions and uniform relations which exist between the constituent bodies of the solar system, in order to indicate the probability of their formation from the constant working of one material cause. Thus he remarks, that the primary planets ...
— A Theory of Creation: A Review of 'Vestiges of the Natural History of Creation' • Francis Bowen

... splendid turn-over!' I thought to myself. 'If this luck holds, at the same rate, I shall have made four hundred and eighty pounds by Tuesday next, and I may look forward to being a Barney Barnato by Christmas.' For I had taken high mathematical honours at Cambridge, and if there is anything on earth on which I pride myself, it is my firm grasp ...
— Miss Cayley's Adventures • Grant Allen

... Tower pigeons were flying, somehow relieving the mechanical outlines. Was the disproportion between the great arch, forming a kind of pedestal, and the outlines above due to mathematical miscalculation or to the interference of the ornamentation? We finally decided that the proportions had probably been right in the first place. But they had been changed by the Exposition authorities' cutting the Tower down one hundred feet, thereby saving $100,000. ...
— The City of Domes • John D. Barry

... is called a man of imagination; it is my habit to exclude most things not capable of mathematical demonstration; but I am not without a certain psychological insight, and I think I understood Mr. Jaffrey's case. I could easily understand how a man with an unhealthy, sensitive nature, overwhelmed by sudden calamity, might take refuge ...
— Miss Mehetabel's Son • Thomas Bailey Aldrich

... dry; and he can no more hope to persuade 'em that they have no right or business to be married, than he can hope to persuade 'em that they have no earthly right or business to be born. And THAT we know they haven't. We reduced it to a mathematical certainty long ago!' ...
— The Chimes • Charles Dickens

... class shall name, with the approbation of the Chief Consul, two perpetual secretaries; the one for the mathematical sciences; the other, for the physical. The perpetual secretaries shall be members of the class, but shall make no ...
— Paris As It Was and As It Is • Francis W. Blagdon

... order. And with this insight goes necessarily an inevitableness, an inexorableness, and, as we say metaphorically, an imperativeness, which no amount of twisting and intellectual thimble-rigging can avoid. The logic of the system cannot be avoided any more than a step in a mathematical demonstration. . . . So long as it stands, its parts, elements, or members are placed, and there is set over each of them the imperative of the system in which they ...
— The Moral Economy • Ralph Barton Perry

... very infancy, and is reported to have worked out long arithmetical sums by means of pebbles and biscuit crumbs before he knew the figures. His father began to teach him Latin, but ceased on discovering the boy's greater inclination and aptitude for mathematical studies. The young Ampere, however, soon resumed his Latin lessons, to enable him to master the works of Euler and Bernouilli. In later life he was accustomed to say that he knew as much about mathematics when he was eighteen ...
— Project Gutenberg Encyclopedia

... has always been in terms of the theatre, and he is willing to curtail any part of his theme for a "point." His explanation, therefore, of the growth of detail, while lacking in the high seriousness of Poe's explanation how he conceived "The Raven," has nevertheless the same mathematical precision about it. In other words, Thomas plays the theatre as Steinitz played chess, with certain recognized openings and certain stated values to the characters. We doubt whether, if the truth were told, many changes ever occur, once a Thomas scenario ...
— Representative Plays by American Dramatists: 1856-1911: In Mizzoura • Augustus Thomas

... caster graced the center of the table, containing glass receptacles for salt, red and black pepper, catsup, vinegar, and oil. Knives, forks, and spoons for two—all of utilitarian style—were arranged with mathematical precision beside ...
— Cap'n Abe, Storekeeper • James A. Cooper

... of furnishings for our room, we felt sure we could squeeze them in—and we did. I got six beginners, and Rose captured the Cowans, root and branch—four instead of two; for it seemed they were not proficient in mathematical pursuits, and their mother was delighted to get them off her distracted hands. All our friends know that Rose adores sums and problems, and she ...
— Stories Worth Rereading • Various

... friends were more afflicted, by far, than he; all this opposition only served to strengthen his faith. As to this effect upon him, I recall one or two quaint examples. At the darkest period in the history of the university, I mentioned to him that a fine collection of mathematical books was offered us for five thousand dollars. Under ordinary circumstances he would have bought it for us at once; but at that moment, when any addition to his burdens would not have been advised by any of his ...
— Volume I • Andrew Dickson White

... his 80th birthday; and it was opened October 1, 1880. The College, which is estimated to have cost L100,000, was built entirely by the founder who also endowed it with an income of about L3,700 per annum, with the intention of providing instruction in mathematics, abstract and applied; physics, mathematical and experimental; chemistry, theoretical, practical, and applied; the natural sciences, geology, metallurgy and mineralogy; botany, zoology and physiology; English, French and German, to which have since been added Greek, Latin, English ...
— Showell's Dictionary of Birmingham - A History And Guide Arranged Alphabetically • Thomas T. Harman and Walter Showell

... absolute central principle governing the world. The great cosmic forces or mechanical principles can only be known in their relation to one another, and can only exist in their relation to one another. But, says Einstein, this relation between the mechanical forces is constant, and may be expressed by a mathematical formula: which mathematical formula may be used to equate all ...
— Fantasia of the Unconscious • D. H. Lawrence

... on a severe rationalism, will recognise nothing as true but what is demonstrated to them like mathematical theorems, will look upon the sentiments above referred to as delusions of the fancy, because they see them founded but upon feeling; but they who think so are manifestly in error. If faith in God, in His providence, and in the immortality of the human soul, were a mere product ...
— A Guide for the Religious Instruction of Jewish Youth • Isaac Samuele Reggio

... giant was alone and was seated behind a broad polished table, occupied in writing. Orsino was struck by the extremely orderly arrangement of everything he saw. Papers were tied together in bundles of exactly like shape, which lay in two lines of mathematical precision. The big inkstand was just in the middle of the rows and a paper-cutter, a pen-rack and an erasing knife lay side by side in front of it. The walls were lined with low book-cases of a heavy and severe type, filled principally with documents ...
— Don Orsino • F. Marion Crawford

... all the county. The board-walk from the gate to the door fairly glistened from the effects of soap and water. The flower-beds, almost painfully neat and free from weeds, were laid out on a strictly mathematical plan. A border of whitewashed clam-shells, laid side by side with military precision, set off the brilliant reds and yellows of the flowers, and a glance at them was like gazing into the face of the midday sun. Tillie shaded her dazzled eyes as she ...
— Tillie: A Mennonite Maid - A Story of the Pennsylvania Dutch • Helen Reimensnyder Martin

... succumb even to the decrees of the masters of the world. Nor did the divi themselves disdain to be initiated in the infernal or celestial science. Nigidius Figulus and the two Thrasylli are magical or mathematical names closely connected with the destinies of the two first imperial princes. Nigidius predicted, and perhaps promoted, the future elevation of Octavianus; and the elder Thrasyllus, the famous Rhodian astrologer, skilfully identified his fate with the ...
— The Superstitions of Witchcraft • Howard Williams

... on the hearth in his mother's cottage, intently watching the steam rising from the mouth of the tea kettle, and of the great role which this boy afterwards assumed in the mechanical world. It was in 1763, when he was twenty-eight and had the appointment of mathematical-instrument maker to the University of Glasgow, that a model of Newcomen's steam pumping engine was brought into his shop for repairs. One can perhaps imagine the feelings with which James Watt, interested from his youth in mechanical and scientific instruments, particularly those ...
— The Age of Invention - A Chronicle of Mechanical Conquest, Book, 37 in The - Chronicles of America Series • Holland Thompson

... explanation—absolutely and beautifully, also expensively. There are 492 pages in the "Report," and 40 plates, some of them marvelously colored. It was issued after an investigation that took five years. You couldn't think of anything done more efficiently, artistically, authoritatively. The mathematical parts are especially impressive: distribution of the dust of Krakatoa; velocity of translation and rates of subsidence; altitudes ...
— The Book of the Damned • Charles Fort

... our stock of culinary ideas, as well as our landlady's patience, in trying to vary the forms in which it was to appear; not having taken the precaution, as some Cambridge men did at B——s one vacation, to bespeak a French cook at a rather higher salary than the mathematical tutor's.[A]) Probably, however, Mr Plympton's unusual walk made him more anxious about the quantity than the quality of his diet, for he not only attacked the mutton like an Etonian, but announced his intention ...
— Blackwood's Edinburgh Magazine, Volume 54, No. 334, August 1843 • Various

... indeed! I have spent thousands of hours in dreaming and planning what a farm should be like! Do you suppose I am going to let these visions become contaminated by practical knowledge? Not by a long way! I have, in the silent watches of the night, reduced the art to mathematical exactness, and I can show you the figures. Don't talk to me ...
— The Fat of the Land - The Story of an American Farm • John Williams Streeter

... How far mathematics and the pure sciences would help him on the road he did not trouble himself to consider; he only had a vague notion that they would lead him to be a 'scholar.' So he toiled with great energy through the algebraic and mathematical handbooks purchased by friend Turnill, often getting so warm on the subject as to neglect his dinner-hour, in brown studies over the plus and minus, squares, cubes, and conic sections. Every evening that he could ...
— The Life of John Clare • Frederick Martin

... room fitted up for astrological labors, and provided with celestial charts, with globes, telescopes, quadrants, and other mathematical instruments. Seven colossal figures, representing the planets, each with a transparent star of different color on its head, stand in a semicircle in the background, so that Mars and Saturn are nearest the eye. The remainder of the ...
— The Works of Frederich Schiller in English • Frederich Schiller

... York and Charleston factors, the Charleston Courier and Mercury and the New York Journal of Commerce. The latter sheet, at the date of which I am writing, was in wide circulation at the South, its piety (!) and its politics being then calculated with mathematical precision for secession latitudes.) ...
— Among the Pines - or, South in Secession Time • James R. Gilmore

... So, what between her dislike to the marriage should it ever be, and her fear for Alick's unhappiness should he ask and be refused, the poor mother was in a state of confused feelings and contradictory wishes which did not agree with a nature like hers, given to mathematical certainties and averse to loose ends and frayed edges anywhere. As nothing more was to be got out of Leam at this moment, and as Mrs. Corfield knew that Alick would be impatient, they went into the drawing-room ...
— Lippincott's Magazine, Vol. XVII, No. 99, March, 1876 • Various

... learned Judge says "In this case, the reel itself, as an article of manufacture, is conceded to be old and not the subject of a patent. The shape applied to it by the complainant is also an old, well-known mathematical figure. Now although it does not appear that any person ever before applied this particular shape to this particular article, I cannot think that the act quoted above was intended to secure to ...
— Scientific American, Vol.22, No. 1, January 1, 1870 • Various

... of us had done badly in those subjects our poor madame and the mathematical mistress did not ...
— Fifty-Two Stories For Girls • Various

... espoused, and the service of his Maker—one widely distinguished from the hypocrites and fanatics of that turbulent era, which, like our own, produced, though in a more exaggerated form, from the stimulus then abroad, the same rank and noxious weeds of hypocrisy and superstition; for man, like a mathematical problem, circumstances and conditions being the same, brings out, invariably, the same results. No form of worship, however ludicrous or revolting, but hath its advocates and supporters; and there is nothing which the proud mind and unsubdued ...
— Traditions of Lancashire, Volume 2 (of 2) • John Roby

... necessary to divide a pie with mathematical exactness into quarters or sixths. A better way is to cut out one piece of the usual size and offer it, and then if less be desired, cut off such portions as may ...
— Carving and Serving • Mrs. D. A. Lincoln

... Minoret, whose green old age resembled that of those celebrated personages. Their heads coined in the same mint (for each had the characteristics of a medal) showed a stern and quasi-puritan profile, cold tones, a mathematical brain, a certain narrowness about the features, shrewd eyes, grave lips, and a something that was surely aristocratic—less perhaps in sentiment than in habit, more in the ideas than in the character. All men of this stamp have high brows retreating ...
— Ursula • Honore de Balzac

... flash of genius, which made the steam-engine what we now see it, was wholly his own. The science of Glasgow was diligently questioned by him upon the defects of the old engine, but it gave him no hint of the remedy. It was James Watt, mathematical-instrument maker, earning fourteen shillings a week, who brooded over his little model until the conception of the condenser burst upon him, as he was taking his Sunday afternoon stroll on Glasgow Green. Goodyear had a similar experience. Philadelphia has ...
— Famous Americans of Recent Times • James Parton

... boys, who were good friends, examined each other eagerly about their progress in books. Tom had learned some Greek and Hebrew, besides Latin, in which he was pretty well skilled, and also had given himself to mathematical studies under his father's guidance, who was a proficient in those sciences, of which Esmond knew nothing; nor could he write Latin so well as Tom, though he could talk it better, having been taught by his dear friend the Jesuit Father, for whose memory the lad ever retained ...
— The History of Henry Esmond, Esq. • W. M. Thackeray

... up. I have since consulted many learned Antiquaries in relation to its Original, and find them very much divided among themselves upon that Particular. A Fellow of the Royal Society, who is my good Friend, and a great Proficient in the Mathematical Part of Musick, concludes from the Simplicity of its Make, and the Uniformity of its Sound, that the Cat-call is older than any of the Inventions of Jubal. He observes very well, that Musical Instruments took their first Rise from the Notes of Birds, and other melodious Animals; and what, says ...
— The Spectator, Volume 2. • Addison and Steele

... species, which is well defined as "the perennial succession of individuals," commonly of very like individuals—as a close corporation of individuals perpetuated by generation, instead of election—and reducing the question to mathematical simplicity of statement: species are lines of individuals coming down from the past and running on to the future; lines receding, therefore, from our view in either direction. Within our limited observation they appear ...
— Evolution and Ethics and Other Essays • Thomas H. Huxley

... of it. You are a star going comfortably through your universe in a fixed orbit. You maintain your exact relations with your brother and sister stars. You keep all your engagements, you never wobble in your path—everything exact, mathematical. And up darts a wild-haired, impetuous comet, a hurrying, bustling, irregular wanderer coming from you don't know where, going you don't know whither. We pass very near each to the other. The social astronomers may or may not note a ...
— The Great God Success • John Graham (David Graham Phillips)

... be conversant with mathematical Books (the printing whereof and musick, has been my chiefest employment), I have observ'd two things many times the cause why Books of this nature appear abroad not so correct as they should be; either ...
— Literary Blunders • Henry B. Wheatley

... stranger had gone to bed, which he did about half-past nine, Mr. Hall went very aggressively into the parlour and looked very hard at his wife's furniture, just to show that the stranger wasn't master there, and scrutinised closely and a little contemptuously a sheet of mathematical computations the stranger had left. When retiring for the night he instructed Mrs. Hall to look very closely at the stranger's luggage when it came ...
— The Invisible Man • H. G. Wells

... offered to replace it. Even as an explanation of the spiral nebul, not as solar systems in process of formation, but as the birthplaces of stellar clusters, the Planetesimal Hypothesis would be open to many objections. Granting its assumptions, it has undoubtedly a strong mathematical framework, but the trouble is not with the mathematics but with the assumptions. Laplace was one of the ablest mathematicians that ever lived, but he had never seen a spiral nebula; if he had, he might have invented a hypothesis to suit its phenomena. His actual hypothesis was intended only ...
— Curiosities of the Sky • Garrett Serviss

... of Elementary Mathematics, being the Reports of the Committee of the Mathematical Association. ...
— The Jacobite Rebellions (1689-1746) - (Bell's Scottish History Source Books.) • James Pringle Thomson

... pain habit, in all emotional relations, a low brain- cell threshold is established which facilitates the reception of specific stimuli; all these processes are motor acts, or are symbolic of motor acts, and we may be trained to perceive misfortune and pain as readily as we are trained to perceive mathematical formulae or moral precepts. In each and every case, readiness of perception depends, as it seems to me, upon a modified state of the brain-cells, their threshold especially, the final degree of perception possible in any individual being perhaps based on the type of ...
— The Origin and Nature of Emotions • George W. Crile

... to reach the age of eighteen, a tall, flat-chested, weak-witted butt of the local school, who, while able to struggle along with the ordinary studies at the foot of the class, was yet so poorly endowed with the mathematical sense that he could only master the first four rules of arithmetic. Fractions and decimals were unsolvable mysteries to him. His name was ...
— The Grain Ship • Morgan Robertson

... the ancient statues swell up under the pencil of the draughtsman of that day, every muscle becomes coarser, fuller, more fleshy, although the draughtsman undoubtedly believed he had reproduced it with mathematical exactitude. The Grecian goddess no longer looks so demure. She has grown to be a coquette; the Virgin has become a wife, because the age lacked the virgin eye, because Rubens' full-bosomed women's figures and Buonarotti's swelling play of the muscles obtruded themselves everywhere, ...
— The German Classics of The Nineteenth and Twentieth Centuries, Vol. VIII • Various

... difficult to conceive by what means they were brought to their present station, especially as it is the summit of a hill; but the world is full of memorials of human strength, in which the mechanical powers that have been since added by mathematical science, seem to be surpassed; and of such monuments there are not a few among the remains of barbarous antiquity in our own country, ...
— A General History and Collection of Voyages and Travels, Vol. 13 • Robert Kerr

... can see its fatal strength. "It is in the world, and the world was made by it." Justice is not postponed. A perfect equity adjusts its balance in all parts of life. [Greek: Hoi kyboi Dios aei eupiptousi],[108]—the dice of God are always loaded. The world looks like a multiplication table, or a mathematical equation, which, turn it how you will, balances itself. Take what figure you will, its exact value, nor more nor less, still returns to you. Every secret is told, every crime is punished, every virtue rewarded, every wrong redressed, in silence ...
— Essays • Ralph Waldo Emerson

... had chatted with Miss Fannie Newman—a pretty student in the Woman's College—after nine o'clock; nay, more, he had sat on a campus bench bidding her good night for half an hour, and, with that brilliant mathematical mind of his, had selected the bench at the greatest possible distance from the smallest cluster ...
— In a Little Town • Rupert Hughes

... "whole pyramid arranged in subservience to it." The accounts of it published by Mr. Taylor, and in Mr. Smyth's first work, further aver that the coffer is, internally and externally, a rectangular figure of mathematical form, and of "exquisite geometric truth," "highly polished, and of a fine bell-metal consistency" (p. 99). "The chest or coffer in the Great Pyramid" (writes Mr. Taylor in 1859) "is so shaped as to be in every part rectangular from side to side, and from end to end, and the bottom is ...
— Archaeological Essays, Vol. 1 • James Y. Simpson

... was a green-eyed redhead whose five-ten and one-fifty would have looked big except for the arrangement thereof. There were Bernadine and Hermione van der Moen, the leggy, breasty, platinum-blonde twins—both of whom were Cowper medalists in physics. There was Etienne de Vaux, the mathematical wizard; and Rebecca Eisenstein, the black-haired, flashing-eyed ex-infant-prodigy theoretical astronomer. There was Beverly Bell, who made mathematically impossible chemical syntheses—who swam channels for days ...
— Masters of Space • Edward Elmer Smith

... over the State eleven days before the election. It was a powerful campaign document. People had not realised what an avenging hand pursued Tammany, but they now understood that Tweed was a common thief, and that Tilden, by reducing strong suspicion to a mathematical certainty, had closed the ...
— A Political History of the State of New York, Volumes 1-3 • DeAlva Stanwood Alexander

... 'the mould-board of least resistance;' and the inventor had gone into a very profound mathematical demonstration, to prove that ...
— Thomas Jefferson • Edward S. Ellis et. al.

... the mark as is above it that saying of some one, "An undevout astronomer is mad." A man's being endowed with rare mathematical talent is no cause why he should or should not be devout. His gifts to weigh and measure the stars are purely intellectual; and nature being seldom profuse upon one individual,—as she was upon Pascal and Newton,—the presumption as to an astronomer, ...
— Essays AEsthetical • George Calvert

... College, London. In 1881 he gave up academic teaching, to devote himself to literature. He investigated the permanence of the English coal-supply in "The Coal Question" (second edition, 1866). "The Theory of Political Economy" (1871) contains his application of the mathematical method, and a bibliography of similar attempts. "The Railways and the State" are to be found in his "Essays and Addresses" (1874). He prepared an elementary book, "Primer of Political Economy" (second edition, ...
— Principles Of Political Economy • John Stuart Mill

... still beyond its reach. The spot is chosen with reference to its evenness of surface, and that is preferred which is the least encumbered with stones. This matter being arranged, the birds proceed, with one accord, and actuated apparently by one mind, to trace out, with mathematical accuracy, either a square or other parallelogram, as may best suit the nature of the ground, and of just sufficient size to accommodate easily all the birds assembled, and no more—in this particular seeming determined upon preventing ...
— The Works of Edgar Allan Poe - Volume 3 (of 5) of the Raven Edition • Edgar Allan Poe

... causes, which lie outside of that mathematical point called the free will of the criminal. Aside from being a juridical phenomenon, which it would be well to examine by itself, every crime is above all a natural and social phenomenon, and should be studied primarily as such. We need not go through so hard a course of study ...
— The Positive School of Criminology - Three Lectures Given at the University of Naples, Italy on April 22, 23 and 24, 1901 • Enrico Ferri

... earlier half of the last century, there lived in one of the villages on the outskirts of the moor on which the Cheese-Wring stands, a stonecutter named Daniel Gumb. This man was noted among his companions for his taciturn eccentric character, and for his attachment to mathematical studies. Such leisure time as he had at his command he devoted to pondering over the problems of Euclid: he was always drawing mysterious complications of angles, triangles, and parallelograms, on pieces of slate, and on the blank leaves of such few books as he possessed. But he made very slow ...
— Rambles Beyond Railways; - or, Notes in Cornwall taken A-foot • Wilkie Collins

... through a transparent bluff. Berta had settled back, coolly resigned to fate. How she must suffer, after having stooped to ask for aid! Poor Robbie Belle! Poor, lonely, disappointed Robbie Belle! For strange to say she flunked too and the question journeyed on triumphantly to the mathematical prodigy at the end of ...
— Beatrice Leigh at College - A Story for Girls • Julia Augusta Schwartz

... vividly illustrates my correspondent's quaint and pregnant inquiry. Macaulay was "colour-blind" to science, and the most painful times in his happy life were the hours devoted at Cambridge to mathematical and mechanical formulae. The genuinely cultured person is the one who thinks nothing of fashion and yields to his natural bent as directed by his unerring instinct. A certain modern celebrity has told us how his early days were ...
— Side Lights • James Runciman

... should be leveled and compressed into a half-inch thickness before the boiling water was introduced. Practically the same result was achieved in the De Belloy and Hadrot pots, also provided with water-spreaders and pluggers, but the same mathematical exactitude in the matter of the depth of the ground coffee before the percolation started was not assured. De Belloy's spreader did not have the projections on the under side upon which Count Rumford ...
— All About Coffee • William H. Ukers

... some lying down, Others standing, as if listening to the shepherd— Others bearing a cross, one foot lifted up— Why not chisel a few shambles? And fallen columns! Carve the pedestal, please, Or the foundations; let us see the cause of the fall. And compasses and mathematical instruments, In irony of the under tenants, ignorance Of determinants and the calculus of variations. And anchors, for those who never sailed. And gates ajar—yes, so they were; You left them open and stray goats entered your garden. And an ...
— Spoon River Anthology • Edgar Lee Masters

... Frederick the Great, you will see the exact image of Doctor Minoret, whose green old age resembled that of those celebrated personages. Their heads coined in the same mint (for each had the characteristics of a medal) showed a stern and quasi-puritan profile, cold tones, a mathematical brain, a certain narrowness about the features, shrewd eyes, grave lips, and a something that was surely aristocratic—less perhaps in sentiment than in habit, more in the ideas than in the character. All men ...
— Ursula • Honore de Balzac

... enough when it is exercised by a competent body. A university can confer a degree upon a distinguished man because it can judge whether his degreeless condition is due to accident or not. It would, however, be highly ridiculous and paradoxical if the general public were to confer mathematical degrees. A degree of efficiency conferred by an inefficient body is ...
— The Cult of Incompetence • Emile Faguet

... of a mausoleum dedicated to Napoleon, which evinced much taste and ingenuity. His workshop at once intimated that its occupant was not abundantly gifted with the organ of order. Plates, dishes, knives, forks, candlesticks, coats, hats, books, and mathematical instruments, lay in one confused mass, each enveloped with its portion of dust. To attempt any thing like arrangement, was at once sacrilege in the estimation of the Colonel. To summon his attendant he usually approached ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 20, No. - 581, Saturday, December 15, 1832 • Various

... men, judging by the multitudinous number of flashes that sparkled from their paddles as they swung rhythmically into and out of the water: and they were all keeping line too, for the whole ten swung up into view together on the crest of a sea, and then disappeared again in the trough, with almost mathematical regularity and precision. Without a doubt the anticipated invasion of our island by the savages was about to take place; and, equally without a doubt too, the invaders must gain a footing upon our territory before we were prepared to quit ...
— Turned Adrift • Harry Collingwood

... spelling match his father's millions did not aid him in competing with Patsy Halloran, the mathematical prodigy whose father was a hod-carrier, nor with Mona Sanguinetti who was a wizard at spelling and whose widowed mother ran a vegetable store. Nor were his father's millions and the Nob Hill palace of the slightest ...
— The Little Lady of the Big House • Jack London

... duty and suffering, until a merely intellectual flame burst out, white and cold, in her hitherto callous nature. A creature, so to speak, only half awake, or awake, perhaps, only when she devoured her books and tried to puzzle out her mathematical problems; and going through life by the side of her jealous, brutal, sickly, drunken husband, in a kind of somnambulistic indifferentism, perhaps not feeling her miseries very acutely, and probably not envying other women their meaningless ...
— The Countess of Albany • Violet Paget (AKA Vernon Lee)

... Reverend Richard Greswell, B.D., Tutor of Worcester College.); but we did not merely want any theological discussion, so we shouted them down. Then a Mr. Dingle got up and tried to show that Darwin would have done much better if he had taken him into consultation. He used the blackboard and began a mathematical demonstration on the question—"Let this point A be man, and let that point B be the mawnkey." He got no further; he was shouted down with cries of "mawnkey." None of these had spoken more than three minutes. It was when these were shouted down ...
— The Life and Letters of Thomas Henry Huxley Volume 1 • Leonard Huxley

... well-trained mathematician or man of science, and the average Englishman. The number of marks obtained by high wranglers, is often more than thirty times as great as that of the men at the bottom of the honour list, who are still of fair mathematical ability; and it is the opinion of skilled examiners, that even this does not represent the full difference of intellectual power. If, now, we descend to those savage tribes who only count to three or five, and who find it impossible to comprehend the addition of two and three without having the ...
— Contributions to the Theory of Natural Selection - A Series of Essays • Alfred Russel Wallace

... a certain mathematical probability that any one of the above speculative answers is correct—correct for this one case. If you try this type of speculation on hundreds of sightings with "unknown" answers, the probability that the speculative answers are correct ...
— The Report on Unidentified Flying Objects • Edward Ruppelt

... Even as an explanation of the spiral nebul, not as solar systems in process of formation, but as the birthplaces of stellar clusters, the Planetesimal Hypothesis would be open to many objections. Granting its assumptions, it has undoubtedly a strong mathematical framework, but the trouble is not with the mathematics but with the assumptions. Laplace was one of the ablest mathematicians that ever lived, but he had never seen a spiral nebula; if he had, he might have invented a hypothesis to suit its phenomena. ...
— Curiosities of the Sky • Garrett Serviss

... seemed to be there to estimate and establish the rest. He was like a presence that makes us aware of our own being. So that he was while still young connected with some of the most energetic scientific and mathematical people in London. They took him as an equal. Quiet and perceptive and impersonal as he was, he kept his place and learned how to value others in just degree. He was there like a judgment. Besides, he was very good-looking, of medium stature, but beautifully proportioned, dark, with fine ...
— The Rainbow • D. H. (David Herbert) Lawrence

... a little implement which one could carry in his hand, but which was more powerful than any battleship that ever floated. The details of its mechanism could not be easily explained, without the use of tedious technicalities and the employment of terms, diagrams and mathematical statements, all of which would lie outside the scope of this narrative. But the principle of the thing was simple enough. It was upon the great scientific doctrine, which we have since seen so completely and brilliantly developed, of the law of harmonic vibrations, extending from ...
— Edison's Conquest of Mars • Garrett Putman Serviss

... resumed the killer, after quietly letting a pint of ale run down his throat of its own accord, and setting down the cup with mathematical exactness upon the spot from which he had raised it—'another went out ...
— A Pair of Blue Eyes • Thomas Hardy

... of the pen faded into the silences of the great room. The Secretary of Justice ran his fingers over his forehead, looked up, and met the Inspector's gaze—fixed, profound, and mathematical. With a sudden unease he pushed back his chair, troubled by the analysis of his banal man, who, in another turn of Fate, might pursue him as dispassionately as he now stood before him for his commands. With a few rapid strides he crossed the room, lit a cigar, blew into the swirl ...
— Murder in Any Degree • Owen Johnson

... with equal eagerness, he will do well to recollect that the minds of his readers are not likely to be equally discursive, and that he is apt to destroy the influence, or mar the effect of each, if he blends them together; separation of works is the one thing needful there. A mathematical proposition, a passage of poetry, a page of history, are all admirable things in their way, and each may be part of a work destined to durable celebrity; but what should we say to a composition which should present us, page about, with a theorem of Euclid, a scene from Shakspeare, and ...
— Blackwood's Edinburgh Magazine, Volume 62, Number 361, November, 1845. • Various

... that all degrees of arithmetical aptitude are found in the human races, from the genius of a Newton and a Laplace to the absolute inability of certain of the Hottentots to count to three. These inequalities in the mathematical notions of different people should make us very cautious about saying that animals cannot count and have no sense of numbers. It is extremely probable that if we had a way of choosing those animals with a special gift for arithmetic, ...
— The Human Side of Animals • Royal Dixon

... proportion of elements (Chemistry), symmetrical arrangement of parts (Crystallography), numerical and geometrical relation of the forms and movements of the heavenly bodies (Spherical Astronomy), all of which are capable of exact mathematical expression. ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker

... I want is to give to my investigation the precision of a mathematical demonstration—I want my conclusions to be as plain, as indisputable, as that twice two are four. Now, supposing I have this gentleman arrested prematurely, though I may be positively certain that he is THE MAN, ...
— The Most Interesting Stories of All Nations • Julian Hawthorne

... the "Stuyvesant" communications, Howard is calculating on the cumulative value of interest; and he analyzes it in this mathematical way: ...
— Shenandoah - Representative Plays by American Dramatists: 1856-1911 • Bronson Howard

... his mathematical and scientific turn. Then, since you do not object, I will see whether he would like it, or if it be practicable in case Miss Charlecote ...
— Hopes and Fears - scenes from the life of a spinster • Charlotte M. Yonge

... game if all combinations could be tested and probed exhaustively by the mathematical process just shown. But we shall find that the complications met with are extremely varied. To give the beginner an idea of this, I will mention a few of the more frequent examples. It will be seen that the calculation ...
— Chess Strategy • Edward Lasker

... intended, but as such castings always warp more or less in cooling, there is a great deal of fitting afterward required, to make them come rightly together. This could easily be done by machinery if the surfaces were square, or cylindrical, or of any other mathematical form to which the working of machinery could be adapted. But the curved and winding surfaces which form the hull of a boat or vessel, smooth and flowing as they are, and controlled, too, by established and well-known ...
— Harper's New Monthly Magazine, Vol. 3, July, 1851 • Various

... strange shadow must be between the table on which the lamp stood and the wall, was making systematic passes and thrusts all over and through the intervening space with an old sword which had belonged to his father. Not an inch was left unpierced. He seemed to have divided the space into mathematical sections. He brandished the sword with a sort of cold fury and calculation; the blade gave out flashes of light, the shadow remained unmoved. Mrs. Brigham, watching, felt ...
— Stories by Modern American Authors • Julian Hawthorne

... as if by some unconscious piece of mechanism:—"Florence manufactures excellent silks, woollen cloths, elegant carriages, bronze articles, earthenware, straw hats, perfumes, essences, and candied fruits; also, all kinds of turnery and inlaid work, piano-fortes, philosophical and mathematical instruments, &c. The dyes used at this city are much admired, particularly the black, and its sausages are famous ...
— Blackwood's Edinburgh Magazine, Vol. 53, No. 331, May, 1843 • Various

... to the Greenwich meridian was based, on one side, on the historical right of the Royal Observatory of England, acquired by eminent services rendered by this establishment during the course of two centuries, to mathematical geography and navigation; on the other side, considering that the great majority of charts now in use upon all the seas are made according to this meridian, and about 90 per cent. of the navigators of long standing are accustomed to take their longitude ...
— International Conference Held at Washington for the Purpose of Fixing a Prime Meridian and a Universal Day. October, 1884. • Various

... planning what a farm should be like! Do you suppose I am going to let these visions become contaminated by practical knowledge? Not by a long way! I have, in the silent watches of the night, reduced the art to mathematical exactness, and I can show you the figures. Don't ...
— The Fat of the Land - The Story of an American Farm • John Williams Streeter

... account for the failure of a considerable percentage of adults to pass the test. Visual imagery, however, is not absolutely necessary to success. One 8-year-old prodigy, who had 12-year intelligence, arrived in forty seconds at a strictly mathematical solution for the second problem, as follows: "If it is 2.46, and the hands trade places, then the little hand has gone about one fourth of the distance from 9 o'clock to 10 o'clock. One fourth of 60 minutes ...
— The Measurement of Intelligence • Lewis Madison Terman

... peered from beneath bushy white brows out over the laboratory. To his near sighted eyes the blurred figure of Harper, his young assistant, seemed busily at work over his mathematical charts. Gault hoped sourly that the young man was actually working and not just drawing more of his absurd, senseless designs amidst ...
— The 4-D Doodler • Graph Waldeyer

... was thankful it was then, and the cause of it was that Mr. Burton had a mathematical mind in which figures seemed ...
— The Moving Picture Girls - First Appearances in Photo Dramas • Laura Lee Hope

... bottom of such sugared words, till I caught a lady of condition yesterday turning to the window, and praying fervently for the girl's conversion to christianity, all from a tender and pious emotion of her gentle heart: as notwithstanding their caresses, no man is more firmly persuaded of a mathematical truth than they are of mine, and my maid's living in a state of certain and eternal reprobation—ma fanno veramente vergogna a noi altri[Footnote: But they really shame even us.], say they, quite in the spirit of the old Romans, ...
— Observations and Reflections Made in the Course of a Journey through France, Italy, and Germany, Vol. I • Hester Lynch Piozzi

... walked around the block, arriving again opposite the Carvel house, and beside Mr. Renault's, which was across from it. Eliphalet had inherited the principle of mathematical chances. It is a fact that the discreet sometimes take chances. Towards the back of Mr. Renault's residence, a wide area was sunk to the depth of a tall man, which was apparently used for the purpose of getting coal and wood into the cellar. Mr. Hopper swept the neighborhood ...
— The Crossing • Winston Churchill

... the progress of thought we come to form terms in which the intensive capacity is everything. Of this kind notably are mathematical conceptions. Terms of this kind, as we said before, lend ...
— Deductive Logic • St. George Stock

... not so infinitely complex and involved, if we were in a position to take a complete view of the historical evolution of the psychic functions, we could reduce the whole of them (including consciousness) to a mathematical "soul-formula." ...
— Freedom in Science and Teaching. - from the German of Ernst Haeckel • Ernst Haeckel

... nearly a quarter, in the second by nearly half, the estimated 600,000 tons, and for the present month also we may fairly cherish the best expectations. The technical success guarantees the economic success with almost mathematical exactitude. True, the economic results cannot be so easily expressed numerically and set down in a few big figures as the technical result in the amount of tonnage sunk. The economic effects of the submarine warfare are expressed in many different spheres covering a wide area, where the enemy ...
— In the World War • Count Ottokar Czernin

... come to be what you are, but you are outside and above all vulgarising influences. Besides, you ought to know," the young man proceeded, in the same cool, mild, deliberate tone, as if he were demonstrating a mathematical solution, "you ought to know that your connexion with all these rantings and ravings is the most unreal, accidental, illusory thing in the world. You think you care about them, but you don't at all. They were imposed upon ...
— The Bostonians, Vol. II (of II) • Henry James

... Morphy plays seven games of chess at once and blindfold, when young Colburn gives impromptu solution to a mathematical problem involving fifty-six figures, we are struck with hopeless wonder: such power is separated by the very extent of it from our mental operations. But when we further observe that these feats are attended by little or no fatigue,—that this is the play, not the tension of ...
— The Atlantic Monthly, Vol. 13, No. 76, February, 1864 • Various

... we girls viewed these occupations in the light of furnishings for our room, we felt sure we could squeeze them in—and we did. I got six beginners, and Rose captured the Cowans, root and branch—four instead of two; for it seemed they were not proficient in mathematical pursuits, and their mother was delighted to get them off her distracted hands. All our friends know that Rose adores sums and problems, and she didn't need any ...
— Stories Worth Rereading • Various

... never seem to be aware of the impatient murmurs around them. What administrative calmness beams on the fresh faces of these distributors of consolation and of despair! In the agony of waiting, minutes lose their mathematical value, and the hands of the clock become motionless on the dial like impaled serpents. The operations of the office proceed with a slowness that seems like a miniature eternity. This anxious crowd stand in single file, forming a living ...
— The Cross of Berny • Emile de Girardin

... enough attitude, perhaps, on the part of an eristic philosopher speculating on politics in the silent shade of academic groves, but hardly suitable for a practical politician who has to take action on one of the most burning questions of our time. Human affairs are not governed by mathematical reasoning. You cannot demonstrate the precise results of any legislative measure beforehand as you can demonstrate the course of a planet in the solar system. "Probability," as Bishop Butler says, "is the guide of life;" and an older philosopher than Butler has ...
— Handbook of Home Rule (1887) • W. E. Gladstone et al.

... feet from each other, although if there had been time to prolong the tunnel, the distance should have been at least forty in order to give the stuff a wider range of action. According to Oliver's mathematical reckoning, they were cut in the exact centre of the base of the idol, and about thirty feet below the actual body of the crouching sphinx. As a matter of fact this reckoning was wrong in several particulars, the ...
— Queen Sheba's Ring • H. Rider Haggard

... rosewood desk, whose belongings, arranged with mathematical precision, indicated the methodical business habits of its owner, sat Hugh Mainwaring, senior member of the firm of Mainwaring & Co., a man approaching his fiftieth birthday. His dress and manners, less pronouncedly English than those of the remaining two, betokened the polished man of the ...
— That Mainwaring Affair • Maynard Barbour

... wheeled about and began to circle in the opposite direction. Twice they repeated this motion, their snarls growing louder. But still they did not come together, and the distance of five feet between them was maintained with an almost mathematical precision. It was magnificent, but it was not war. Then the setter, pausing in his walk, turned his head slowly from his enemy. The collie sniffed the air and pretended an interest in an old shoe lying in the gutter. Gradually and with all the dignity of monarchs they moved away from each ...
— McTeague • Frank Norris

... seemed to look,—the feet separated, so that they seemed to walk. Greek art is thus, almost from the first, essentially distinguished from the art of Egypt, by an energetic striving after truth in organic form. In representing the human figure, Egyptian art had held by mathematical or mechanical proportions exclusively. The Greek apprehends of it, as the main truth, that it is a living organism, with freedom of movement, and hence the infinite possibilities of motion, and of expression by motion, with which the imagination credits the higher sort of Greek sculpture; while the ...
— Greek Studies: A Series of Essays • Walter Horatio Pater

... docuerunt, solis Apsida Terris esse propiorem, quam Ptolemaei aetate duodecem partibus, i. e. uno & triginta terrae semidiameteris. [Copernicus in his Book of Revolutions, and afterwards Reinholdus, very cleverly showed by mathematical means that the perihelion of the earth was (become) nearer in the twelve centuries since Ptolemy, that is, thirty-one times the radius of the earth.] — Jo. Bod. ...
— Hudibras • Samuel Butler

... it was impossible to imagine it agitated by any passion except thirst for knowledge. The skin was as white as marble; the profile was straight and mathematical, the mouth a straight line, the chin as square as that of a chiselled Fate. The jaw was prominent, powerful, relentless. The eyes were deeply set and gray as polished steel. The large brow was luminous, very full—an index to the terrible intellect ...
— The Bell in the Fog and Other Stories • Gertrude Atherton

... present methods of teaching this subject in the public schools. In the main their criticisms were to the effect that the teaching was not "practical." "The boys I get may know arithmetic," said one, "but they haven't any mathematical sense." Another cited his experience with an apprentice who was told to cut a bar eight and one-half feet long into five pieces of equal length. He was not told the length of the bar, but was given the direct order: "Cut that bar into five ...
— Wage Earning and Education • R. R. Lutz

... effects; turn a mill without wind or water, or set in motion some mimic vehicle without other force than that the contrivance itself supplied. And here, at every step, new obstacles arose. It was the misfortune to science in those days, not only that all books and mathematical instruments were enormously dear, but that the students, still struggling into light, through the glorious delusions of alchemy and mysticism, imagined that, even in simple practical operations, there were peculiar virtues ...
— The Last Of The Barons, Complete • Edward Bulwer-Lytton

... survived to reach the age of eighteen, a tall, flat-chested, weak-witted butt of the local school, who, while able to struggle along with the ordinary studies at the foot of the class, was yet so poorly endowed with the mathematical sense that he could only master the first four rules of arithmetic. Fractions and decimals were unsolvable mysteries to him. His name was Quinbey—first name John, ...
— The Grain Ship • Morgan Robertson

... pertaining to the reason can be multiplied to infinity: thus mathematical quantities have no limit. For the same reason the species of numbers are infinite, since, given any number, the reason can think of one yet greater. But desire of the end is consequent on the apprehension of the reason. Therefore it seems that there ...
— Summa Theologica, Part I-II (Pars Prima Secundae) - From the Complete American Edition • Saint Thomas Aquinas

... how, from the commencement, the absolute, the mathematical as it is called, nowhere finds any sure basis in the calculations in the Art of War; and that from the outset there is a play of possibilities, probabilities, good and bad luck, which spreads about with all the coarse ...
— On War • Carl von Clausewitz

... the world, and the world was made by it." Justice is not postponed. A perfect equity adjusts its balance in all parts of life. [Greek: Hoi kyboi Dios aei eupiptousi],[108]—the dice of God are always loaded. The world looks like a multiplication table, or a mathematical equation, which, turn it how you will, balances itself. Take what figure you will, its exact value, nor more nor less, still returns to you. Every secret is told, every crime is punished, every virtue rewarded, every wrong redressed, in silence and certainty. What ...
— Essays • Ralph Waldo Emerson

... logic in love, nor the least mathematical element, it is simply natural that she shall fashion the result who has the wielding of ...
— Ben-Hur: A Tale of the Christ • Lew Wallace

... that time, and scarcely any old one, ventured to address Mr. Speaker without being equipped with a Latin passage. Ferrars, in this respect, was triply armed. Indeed, when he entered public life, full of hope and promise, though disciplined to a certain extent by his mathematical training, he had read very little more than some Latin writers, some Greek plays, and some treatises of Aristotle. These with a due course of Bampton Lectures and some dipping into the "Quarterly Review," then ...
— Endymion • Benjamin Disraeli

... the Cavour drive would have averted: the Fitzgerald Contraction. Time aboard the great starships that lanced through the void was contracted; the nine-year trip to Alpha Centauri and back seemed to last only six weeks to the men on the ship, thanks to the strange mathematical effects of interstellar travel ...
— Starman's Quest • Robert Silverberg

... between two points," and the further statement that "AB is a straight line between A and B," and conclude that the line AB represents the shortest distance between two points A and B. In a manner similar to this Euclid built his whole mathematical system upon the basis of definitions and postulates, a system the complexity and thoroughness of which has caused all students of mathematics at one time or another to marvel and admire. But, of course, a definition is little more than ...
— Rudolph Eucken • Abel J. Jones

... of a modern Major-Gineral, I've information vegetable, animal, and mineral; I know the kings of England, and I quote the fights historical, From Marathon to Waterloo, in order categorical; I'm very well acquainted, too, with matters mathematical, I understand equations, both the simple and quadratical; About binomial theorem I'm teeming with a lot o' news, With interesting facts about the square of the hypotenuse, I'm very good at integral and differential calculus, I know the scientific names of beings animalculous. In short, in matters ...
— Songs of a Savoyard • W. S. Gilbert

... was, Tom Fillot was quicker; and turning sharply round, he struck out with his double fist, catching the American right in the centre of his forehead, with the result mathematical that two moving bodies meeting fly off ...
— The Black Bar • George Manville Fenn

... that resolves it into points of force will seem to many as doing away with matter no less effectually than the Berkeleyan Idealism. A universe of inane mathematical points, attracting and repelling each other, must appear to the ordinary mind a sorry substitute for the firm-set earth, and the majestically-fretted vault of heaven, with its planets, stars, and ...
— Practical Essays • Alexander Bain

... rivers in the tender, or in boats. Its error from mean Greenwich time, at noon July 17, was 2' 38.71" slow, and its rate of losing per day 4.41". This error and rate were given me by Mr. Bayly, mathematical master of the naval academy at Portsmouth, who had the kindness to take charge of the watch ...
— A Voyage to Terra Australis • Matthew Flinders

... career towards disintegration. It might have been thought that a germ of rational order would by this time have penetrated into fine art and speculation from the prosperous constructive arts that touch the one, and the prosperous natural and mathematical sciences that touch the other. But as yet there is little sign of it. Since the beginning of the nineteenth century painting and sculpture have passed through several phases, representatives of each naturally surviving after the next had appeared. Romanticism, half lurid, half effeminate, ...
— Winds Of Doctrine - Studies in Contemporary Opinion • George Santayana

... the trouble that affects it, both organic and emotional. The expert like Barron can tell what each wave means, just as he can tell what the lines in a spectrum mean. He can see the invisible, hear the inaudible, feel the intangible, with mathematical precision. Barron has now read the electro-cardiograms. Each is a picture of the beating of the heart that made it, and each smallest variation has a meaning to him. Every passion, every emotion, every disease, is recorded with inexorable truth. The person with murder in his heart cannot ...
— The Dream Doctor • Arthur B. Reeve

... for I've nothing to do all day, I find. I'm not in for the Nightingale, or for the Mathematical Medal, or for the English Literature. Simon's in for that, you know, so there's no ...
— The Fifth Form at Saint Dominic's - A School Story • Talbot Baines Reed

... than he who describes them solely from the picture that exists in his fancy. We wish to be rightly understood. We do not mean that vagueness and generality are essential to poetical description. As on the one hand, mathematical accuracy, by allowing no play to the imagination, produces a feeble impression, so on the other the indistinctness arising from indefinite expressions is equally unfavorable. But in neither is the poetry of the ...
— The Knickerbocker, or New-York Monthly Magazine, January 1844 - Volume 23, Number 1 • Various

... fields which a few years ago were impenetrable. The world's products are exchanged as never before, and with increasing transportation facilities come increasing knowledge and trade. Prices are fixed with mathematical precision by supply and demand. The world's selling prices are regulated by market and crop reports. We travel greater distances in a shorter space of time, and with more ease than was ever dreamed ...
— Standard Selections • Various

... went over to the drafting table, tacked down a huge sheet of paper, and sketched rapidly, explaining as he drew. Soon the two men were engaged in a profound mathematical argument. Sheet after sheet of paper was filled with equations and calculations, and the table was covered with reference books. After two hours of intense study and hot discussion Crane's face took on a look of dawning comprehension, ...
— The Skylark of Space • Edward Elmer Smith and Lee Hawkins Garby

... my notice, even before I began the study of medicine, that whether disease were coaxed with doses too small for mathematical estimate, or whether blown out with solid shot or blown up with shells, the percentage of recoveries seemed to be about the same regardless of the ...
— The No Breakfast Plan and the Fasting-Cure • Edward Hooker Dewey

... aetherial medium will agree with our experience; and, as the natural result, several outstanding problems will be explained on a physical basis, which at the present time cannot be satisfactorily explained except from the mathematical standpoint. ...
— Aether and Gravitation • William George Hooper

... New York and Charleston factors, the Charleston Courier and Mercury and the New York Journal of Commerce. The latter sheet, at the date of which I am writing, was in wide circulation at the South, its piety (!) and its politics being then calculated with mathematical precision for ...
— Among the Pines - or, South in Secession Time • James R. Gilmore

... and rare productions. Then are torches lighted, and two by two the long train of torch-bearers defiles through the silent midnight streets to the sound of solemn music, and passing by the dark cemetery of the real dead, bear through 'Tutor's Lane' the coffin of their mathematical ancestor. They climb the hill beyond, and commit him to the flames, invoking Pluto, in Latin prayer, and chanting a final dirge, while the flare of torches, the fearful grotesqueness of each uncouth disguised wight, and the dark background of the ...
— The Continental Monthly, Vol. 2, No 3, September, 1862 - Devoted to Literature and National Policy. • Various

... the Areopagite, which in agreement with Colet he had set out to prove. In London was Linacre, just returned from Venice, full of Aldus' Greek Aristotle; to a supplementary volume of which he had sent a translation of Proclus' Sphere, a mathematical work then highly esteemed. He had been working on Aristotelian commentators, and was soon to lecture on the Meteorologica—a course which More, who was working for the Bar in London, attended. More himself not long afterwards lectured publicly in London ...
— The Age of Erasmus - Lectures Delivered in the Universities of Oxford and London • P. S. Allen

... that teaching a unity and individuality. It served as a sort of test, which the Anglican could not exhibit, that modern Rome was in truth ancient Antioch, Alexandria, and Constantinople, just as a mathematical curve has its own law ...
— Apologia Pro Vita Sua • John Henry Cardinal Newman

... a mathematical instrument maker, of all people, called Smeaton. His lighthouse was even more soundly founded than even Rudyerd's had been, and he used the fact that stone is heavier than timber to add weight to the building, thus rendering it more resistant to the forces of wind and ...
— The Story of the Rock • R.M. Ballantyne

... in finding in the hitherto unexplored domains of nature what reason demanded, that Goethe, from the analogies of the mammalian skeleton, discovered the intermaxillary bone in man; and Sir William Hamilton, from the mathematical consequences of the undulation of light, led the way to the discovery of conical refraction. A similar story is told of Prof. Agassiz and Prof. Pierce, the one the great zooelogist, the other the great mathematician, of Cambridge. Agassiz, having studied the formation ...
— The Arena - Volume 4, No. 19, June, 1891 • Various

... was holding his own; he was a good mathematical scholar, he prepared the lessons thoroughly, and he found it generally easy to keep order by assigning problems to be worked out in class. The weather continued good, so that during play time the fellows ...
— The Jester of St. Timothy's • Arthur Stanwood Pier

... rhythmical faults of the poem, even in these passages. But there is a vast difference between such blemishes of the unrhymed heroic measure as terminating a line with "and," "of," or "but," or inattention to the caesural pauses, and that mathematical precision of foot and accent, which, after all, can scarcely be distinguished from prose. Whatever may be his shortcomings, Mr. Heavysege speaks in the dialect of poetry. Only rarely he drops into bald prose, as in ...
— The Atlantic Monthly, Volume 16, No. 96, October 1865 • Various

... inarticulate growling protest, but Miss Slade took no notice and continued in even, dispassionate tones, as if she had been explained a mathematical problem. ...
— The Rayner-Slade Amalgamation • J. S. Fletcher

... forth, every thing seems to turn up just as I would have it if I had the ordering of events. I shall not pause to offer any philosophical conjectures as to the reason why we are invariably disappointed in our conclusions, (excepting they are mathematical ones) concerning the future; merely asking the amiable reader whether he ever knew such an anticipation to be exactly realized. I shall not stop to make any such conjectures, because I should only get deeper into the dark, and ...
— The Knickerbocker, or New-York Monthly Magazine, February 1844 - Volume 23, Number 2 • Various

... fleet began moving slowly up the river, under the pilotage of members of the Coast Survey, who, already partly familiar with the ground, were to push their triangulation up to the forts themselves and establish the position of the mortars with mathematical precision; a service they performed with courage and accuracy. The work of the surveyors was carried on under the guns of the forts and exposed to the fire of riflemen lurking in the bushes, who ...
— The Gulf and Inland Waters - The Navy in the Civil War. Volume 3. • A. T. Mahan

... applied to such subjects, that "Ornari res ipsa negat, contenta doceri:" for all things have their peculiar beauty and sources of ornament—determined by their ultimate ends, and by the process of the mind in pursuing them. Here, as in the processes of nature and in mathematical demonstrations, the appropriate elegance is derived from the simplicity of the means employed, as expressed in the "Lex Parcimonie" ("Frustra fit per plura, quod fieri fas erat per pauciora"), and other maxims ...
— Memorials and Other Papers • Thomas de Quincey

... the part of Robert, what alternations of hope and fear! And Shargar was always the reflex of Robert, so far as Shargar could reflect Robert. Sometimes Robert would stop, stand still in the middle of the room, cast a mathematical glance of survey over its cubic contents, and then dart off in another inwardly suggested direction of search. Shargar, on the other hand, appeared to rummage blindly without a notion of casting the illumination of thought upon the field of search. ...
— Robert Falconer • George MacDonald

... can see the whole affair from that angle ... and I am beginning to believe that this is how one ought to see it. But, if we admit that this madwoman has the sort of mathematical logic which governed the murders of the six victims, I see no connection between the victims themselves. She struck at random. Why this victim rather ...
— The Eight Strokes of the Clock • Maurice Leblanc

... in full blossom. The stiff soil of these plains was here and there marked by very regular pentagonal, hexagonal, and heptagonal cracks, and, as these cracks retain the moisture of occasional rains better than the intervening space, they were fringed with young grass, which showed these mathematical figures very distinctly. We passed a great number of dry swamps or swampy water-holes; sometimes however containing a little water. They were surrounded by the Mangrove myrtle (Stravadium), which was mentioned as ...
— Journal of an Overland Expedition in Australia • Ludwig Leichhardt

... Thirty Kalas, with the tenth part of a Kala added, make what is known as a Muhurta. Thirty Muhurtas make up one day and night. Thirty days and nights are called a month, and twelve months are called a year. Persons conversant with mathematical science say that a year is made up of two ayanas (dependent on sun's motion), viz., the northern and the southern. The sun makes the day and the night for the world of man. The night is for the sleep of all living creatures, and the day ...
— The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 3 - Books 8, 9, 10, 11 and 12 • Unknown

... presented on the spot to Elvira, and who divided the journey between licking himself and devouring the fragments of biscuit with which Jock supplied him. Allen had also bought a beautiful statuette for himself, and a set of studs. Janet had set herself up with a case of mathematical instruments and various books; Bobus's purchases were divers chemical appliances and a pocket microscope, also what he thrust into Jessie's lap and she presently proclaimed to be a lovely little work-case; Jessie herself was hugging a parcel, which turned out ...
— Magnum Bonum • Charlotte M. Yonge

... what they were—the deadliest weapon that the war had till then produced. An officer who watched them the following day gallop onto the field, unlimber and start firing, told me that the way their fire covered that front was an absolutely uncanny sight. With mathematical precision the shells would begin to drop at one end of a field and cut out a belt across it from side to side, the belt growing as each explosion threw up a splash of dust from the showers of shrapnel; having completed the ...
— On the Fringe of the Great Fight • George G. Nasmith

... of the first volume of 'The Laws of Fesole' I have laid down the mathematical principles of rightly drawing maps;—principles which for many reasons it is well that my young readers should learn; the fundamental one being that you cannot flatten the skin of an orange without splitting it, and must not, if you draw countries on the unsplit skin, stretch ...
— Our Fathers Have Told Us - Part I. The Bible of Amiens • John Ruskin

... for the whole Army of the Potomac. Climbing up the steep road to the top of the bluff, and advancing over the undulating plain a mile, you come to a city,—the city of hospitals. The white tents are arranged in lines of almost mathematical accuracy. The camp is intersected by roads broad and clean. Every corps, and every division of every corps, has its allotted square. Somewhere in these larger squares your eye will be sure to catch sight of the Sanitary ...
— The Atlantic Monthly, Volume 15, No. 88, February, 1865 • Various

... incident connected with my mathematical studies still comes back to me with a pleasant impression. My chief college friend was young De Saussure, grandson of the naturalist of that name, who, the first with a single exception, reached the ...
— The Atlantic Monthly, Volume 15, No. 91, May, 1865 • Various

... must inhale the golden legendary air of the Past. The mere humanitarian bards, who try to make modern life trip to the music of trochees, dactyles, and spondees, fail miserably. Industrialism is not poetical. Our modern life expresses itself in machines, in mathematical formulas, in statistics and with scientific precision generally. Art and poetry are pursued in the spirit of past ages, and concern themselves with the symbols, faiths, and ideal ...
— Atlantic Monthly, Volume 3, Issue 15, January, 1859 • Various

... this gate at Lucca, of the vault at Verona, of this window at Orvieto, and of the contemporary refectory at Furness Abbey, are a main source of the pleasure you have in the building. Nay, they are not merely engravers' lines, but, in finest practice, they are mathematical lines —length without breadth. Here in my hand is a little shaft of Florentine mosaic executed at the present day. The separations between the stones are, in dimension, mathematical lines. And the two sides of the thirteenth century porch of St. Anastasia at Verona are built ...
— Val d'Arno • John Ruskin

... James's Park, where we observed the several engines at work to draw up water, with which sight I was very much pleased. Above all the rest, I liked that which Mr. Greatorex [A mathematical instrument maker.] brought, which do carry up the water with a great deal of ease. Here, in the Park, me met with Mr. Salisbury, who took Mr. Creed and me to the Cockpitt to see "The Moore of Venice," which was well ...
— The Diary of Samuel Pepys • Samuel Pepys

... Toscanelli, returning from his studies, and chancing one evening to be at supper in a garden with some of his friends, invited Filippo, who, hearing him discourse on the mathematical arts, formed such an intimacy with him that he learnt geometry from Messer Paolo; and although Filippo had no learning, he reasoned so well in every matter with his instinct, sharpened by practice and experience, that he would many times confound him. ...
— Lives of the Most Eminent Painters Sculptors and Architects - Vol 2, Berna to Michelozzo Michelozzi • Giorgio Vasari

... extensive gardens, which afterwards became the residence of Major Armstrong and now occupied by Mrs. Howland. Notwithstanding his heavy parochial work Mr. Clarke (as the present writer can testify) kept up his classical and mathematical studies. He was also devoted to music, and a very skilful performer on the flute. Although these were relaxations from his more serious parochial labours, the amount of mental work involved eventually told upon his health, and in the 8th year of his vicariate it became perceptible, ...
— A History of Horncastle - from the earliest period to the present time • James Conway Walter

... known to Egyptologists as the Old Empire. Kings of the Fourth dynasty, Khufu, Khafra, and Menkaura, built the great pyramids of Giza, the largest of which is still one of the wonders of the world. Its huge granite blocks are planed with mathematical exactitude, and, according to Professor Flinders Petrie, have been worked by means of tubular drills fitted with the points of emeralds or some equally hard stone. It was left for the nineteenth century to re-discover the instrument ...
— Early Israel and the Surrounding Nations • Archibald Sayce









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