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Ratio   /rˈeɪʃiˌoʊ/   Listen
Ratio

noun
1.
The relative magnitudes of two quantities (usually expressed as a quotient).
2.
The relation between things (or parts of things) with respect to their comparative quantity, magnitude, or degree.  Synonym: proportion.  "A dry martini has a large proportion of gin"



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"Ratio" Quotes from Famous Books



... had several other titles attached to his name at that time, indicative of duties real and imaginary. He was "deputy assistant" several things and "acting" one or two; for in military titles one begins in inverse ratio in a large way, and ...
— From One Generation to Another • Henry Seton Merriman

... to home; jes' gwine to lunch. I spects dey all wery glad to see Massa 'Ratio and Massa Christy. Walk in, sar; took a seat in de parlor; and I done reckon we call Massa Homer and de rest ob de folks afore you gits to sleep in yer char, thar," said Pedro, as he scurried out of the room where he had ...
— Taken by the Enemy • Oliver Optic

... cut through Sanson Street," stammered Farr, the sense of his own iniquity increasing in the same ratio in which his respect and admiration grew. The honorable gentleman traveled along at a brisk jog, evidently desiring to show his apologetic mood by ...
— The Landloper - The Romance Of A Man On Foot • Holman Day

... absolute, as would be a struggle for a complete dispossession of the employer, but for the sort of an end that admits of relative differences and gradations. Industrial control may be divided in varying proportions,[101] reflecting at any one time the relative ratio of bargaining power of the contesting sides. It is labor's aim to continue increasing its bargaining power and with it its share of industrial control, just as it is the employer's aim to maintain a status quo or better. Although this presupposes ...
— A History of Trade Unionism in the United States • Selig Perlman

... of the opposition between the extension and the comprehension of a concept, the one increasing in the ratio in which the other diminishes, is well known. The concept that is most extensive and at the same time least comprehensive is that of being or of thing, which embraces everything that exists and possesses no other distinguishing quality than that of being; while the concept that is most comprehensive ...
— Tragic Sense Of Life • Miguel de Unamuno

... The spinal cord has a general similarity to that of the rabbit; the ratio of its size to that of the brain is larger, and the nerves number ten pairs altogether. The first of these (sp. 1, in Figure 2, Sheet -12- ) {First Edition error.} [13] corresponds in distribution with the rabbit's hypoglossal nerve, a point we shall refer to again when we speak of the skull. ...
— Text Book of Biology, Part 1: Vertebrata • H. G. Wells

... men in a nation, is their power of avoiding either intestine or foreign war. All disputes may be peaceably settled, if a sufficient number of persons have been trained to submit to the principles of justice, while the necessity for war is in direct ratio to the number of unjust persons who are incapable of determining a quarrel but by violence. Whether the injustice take the form of the desire of dominion, or of refusal to submit to it, or of lust of territory, or lust ...
— The Crown of Wild Olive • John Ruskin

... already follows Shakspeare, and be it remembered, that Homer sleeps and has long slept as a subject of criticism or commentary, while in Germany as well as England, and now even in France, the gathering of wits to the vast equipage of Shakspeare is advancing in an accelerated ratio. There is, in fact, a great delusion current upon this subject. Innumerable references to Homer, and brief critical remarks on this or that pretension of Homer, this or that scene, this or that passage, lie scattered over literature ancient and modern; but the ...
— Biographical Essays • Thomas de Quincey

... end, i. e., one half the length of the building, Fig. 198. By the "rise" of the rafter is meant the perpendicular distance from the ridge end to the level of the foot of the rafter. By the pitch is meant the ratio of the rise to twice the run, i. e., to the total width of the building. In a 1/2 pitch, the rise equals the run, or 1/2 the width of the building; in a 1/3 pitch the rise is 1/3 the width of the building; in a 3/4 pitch the rise is 3/4 ...
— Handwork in Wood • William Noyes

... civilised world? How is it to end if we go on at our present rate, with huge geological formations of art and book middens accreting in every city of Europe? Who is to see them, who even to catalogue them? Remember the Malthusian doctrine, and that the mind breeds in even more rapid geometrical ratio than the body. With such a surfeit of art and science the mind pails and longs to be relieved from both. As the true life which a man lives is not in that consciousness in the midst of which the thing he calls "himself" sits and the din and roar of which confuse and deafen him, but in the life ...
— Ex Voto • Samuel Butler

... of trees by horticulturists. You don't intend to do it but sometimes you can kill with kindness and be too good in feeding your trees if you don't understand how much fertilization the tree needs. That is the idea, you have got to give your trees the ratio that they need. If you give them too much pie or pudding, your trees will have indigestion and will not thrive and may die. I have lost a great many good trees, and a great many nut trees, and have checked the growth of a great ...
— Northern Nut Growers Association Report of the Proceedings at the Fifth Annual Meeting - Evansville, Indiana, August 20 and 21, 1914 • Various

... magnitude next brighter. For example, we should have nearly four times as many stars of the sixth magnitude as of the fifth; nearly four times as many of the seventh as of the sixth, and so on indefinitely. Now, it is actually found that while this ratio of increase is true for the brighter stars, it is not so for the fainter ones, and that the increase in the number of the latter rapidly falls off when we make counts of the fainter telescopic stars. In fact, it has long been known that, were the universe infinite in extent, and ...
— Side-lights on Astronomy and Kindred Fields of Popular Science • Simon Newcomb

... the economy of Nature. But great is our ignorance on the mutual relations of all organic beings. All that we can do is to keep steadily in mind that each organic being is striving to increase in a geometrical ratio; that each at some period of its life, during some season of the year, during each generation or at intervals, has to struggle for life and to suffer great destruction. When we reflect on this struggle, we may console ourselves with the full belief that the war of Nature ...
— The World's Greatest Books - Volume 15 - Science • Various

... faculty are as slack in attending the garrets of paupers as the caverns of robbers. But neglected as she was, and perhaps because she was neglected, Scotland, reckoning her progress during the space from the close of the American War to the present day, has increased her prosperity in a ratio more than five times greater than that of her more fortunate and richer sister. She is now worth the attention of the learned faculty, and God knows she has had plenty of it. She has been bled and purged, spring and fall, and talked into courses of physic, for which she had little occasion. She ...
— Political Pamphlets • George Saintsbury

... issue from the neckcloth of Sir Bingo, but they were not much attended to; for it had not escaped the observation of the quicksighted gentry at the Well, that the Baronet's feelings towards the noble Earl were in the inverse ratio of those displayed by Lady Binks, and that, though ashamed to testify, or perhaps incapable of feeling, any anxious degree of jealousy, his temper had been for some time considerably upon the fret; a circumstance concerning which ...
— St. Ronan's Well • Sir Walter Scott

... tamped and fired by electricity, can be safely used in fiery mines, neither fine dust nor gases being ignited by it. The action is rending and not pulverising. Compared to gunpowder, it is more powerful in a ratio ranging from 2-1/2 to 4 to 1, according to the substance acted upon. It is largely used in blasting, pit sinking, quarrying, &c., but especially in coal mining. According to Dr Roth, the following is ...
— Nitro-Explosives: A Practical Treatise • P. Gerald Sanford

... by her motion in her orbit, she was deflected from the tangent thirteen feet every minute; but, by ascertaining the space through which bodies would fall in one minute at the earth's surface, and supposing it to be diminished in the ratio of the inverse square, it appeared that the attraction at the moon's orbit would draw a body through more than fifteen feet. He, therefore, for the time, considered his hypothesis as unsustained. ...
— History of the Conflict Between Religion and Science • John William Draper

... on the theory and use of the stops and on the F-notation may be of service. The speed of a photographic lens depends on the ratio of the effective aperture to the focal length. Thus any two lenses used at apertures of F/8, that is at apertures having diameters one-eighth of their respective focal lengths, should be of the same speed, though both lenses and apertures may be very different. In a given lens, ...
— How to Observe in Archaeology • Various

... some two assertions which cannot be proved, from the union of these two assumed truths produces a third assumption, and so on in infinite series, to the unspeakable benefit of the human intellect. The beauty of this process is, that at every step it strikes out into two branches, in a compound ratio of ramification; so that you are perfectly sure of losing your way, and keeping your mind in perfect health, by the perpetual exercise of an interminable quest; and for these reasons I have christened my eldest ...
— Nightmare Abbey • Thomas Love Peacock

... Syphilis.—Estimates of the ratio of genital to non-genital or so-called extra-genital infection in syphilis vary a good deal, and are largely the products of the clinical period in the history of the disease before the days of more exact methods of detecting its presence. The older statistics ...
— The Third Great Plague - A Discussion of Syphilis for Everyday People • John H. Stokes

... intelligence and honor, as there are employers of exceptional conscientiousness, anxious to do fairly by their men. The received political economy has taught the average workingman that the relations of capital and labor are those of hostile interests; that profits and wages are in an inverse ratio; that the symbol of the factory is a see-saw, on which capital goes up as labor goes down. As things are, there is unfortunately too much ground for this notion, ...
— Black and White - Land, Labor, and Politics in the South • Timothy Thomas Fortune

... Fluctuations there may be; but permanent increase, except in restricted localities, is almost impossible. For example, our own observation must convince us that birds do not go on increasing every year in a geometrical ratio, as they would do, were there not some powerful check to their natural increase. Very few birds produce less than two young ones each year, while many have six, eight, or ten; four will certainly be below the average; and if we suppose that each pair ...
— Contributions to the Theory of Natural Selection - A Series of Essays • Alfred Russel Wallace

... assigned to the Pennsylvania Reserve Corps in the anticipated advance, and my friend, the attache, accompanied me to its rendezvous at Hunter's Mills. We started at two o'clock, and occupied an hour in passing the city limits. I calculated that, advancing at the same ratio, we should arrive in camp at noon next day. We presented ludicrous figures to the grim sabremen that sat erect at street corners, and ladies at the windows of the dwellings smothered with suppressed laughter ...
— Campaigns of a Non-Combatant, - and His Romaunt Abroad During the War • George Alfred Townsend

... enough. The roads and canals, numerous and perfect though they might be, were found altogether inadequate to the accommodation of the traffic of the country, which had increased, at a constantly accelerating ratio, with the increased application of steam power to the purposes of productive industry. At length steam itself was applied to remedy the inconveniences which it had caused; the locomotive engine was invented, and travelling by railway became generally adopted. The effect of these several improvements ...
— The Life of Thomas Telford by Smiles • Samuel Smiles

... burettes and repeat the titration. From the records of calibration already obtained, correct the burette readings and make corrections for temperature, if necessary. Obtain the ratio of the sodium hydroxide solution to that of hydrochloric acid by dividing the number of cubic centimeters of acid used by the number of cubic centimeters of alkali required for neutralization. The check results of the two titrations should not vary by more than ...
— An Introductory Course of Quantitative Chemical Analysis - With Explanatory Notes • Henry P. Talbot

... these sacred cubits as there are days and parts of a day in a year. They were further, by supernatural help, enabled to square the circle, and symbolised their victory over this problem by making the pyramid's height bear to the perimeter of the base the ratio which the radius of a circle bears to the circumference. Moreover, the great precessional period, in which the earth's axis gyrates like that of some mighty top around the perpendicular to the ecliptic, was communicated to the builders with a degree of accuracy far exceeding that of the best ...
— Myths and Marvels of Astronomy • Richard A. Proctor

... seen perhaps The pictured page that goes in Worcester's Maps, And, read in earnest what was said in jest, "Who drives fat oxen"—please to add the rest,— Sprung the odd notion that the poet's dreams Grow in the ratio of his hills and streams; And hence insisted that the aforesaid "bard," Pink of the future, fancy's pattern-card, The babe of nature in the "giant West," Must be of course ...
— The Poetical Works of Oliver Wendell Holmes, Complete • Oliver Wendell Holmes, Sr.

... labor,—that their interests are one, and that conditions and opportunities for the worker are always better and better,—practical thinkers and workers deny this conclusion. Wealth has enormously increased, in a far greater ratio than population. Does the laborer receive his due proportion of this increase? One must unhesitatingly answer no. In a country whose life began in the search for freedom, and which professes to give equal opportunity to ...
— Women Wage-Earners - Their Past, Their Present, and Their Future • Helen Campbell

... in various quarters: and now when the Prussian Affair is settled, Austria springs up everywhere like an elastic body with the pressure taken from it; mounts steadily, month after month, in practical success, and in height of humor in a still higher ratio. And in the course of the next Two Years rises to a great height indeed. Here—snatched, who knows with what difficulty, from that shoreless bottomless slough of an Austrian-Succession War, deservedly forgotten, and avoided by extant mankind—are some of the more essential phenomena, which ...
— History of Friedrich II. of Prussia, Vol. XIV. (of XXI.) • Thomas Carlyle

... smoothing away its wrinkles, and imprinting the bloom of childhood upon its cheeks, bringing back the long-lost freshness and buoyancy to the soul; would not the navigators of those dangerous seas be multiplied in the ratio of a million to one? Should we not all become Ponce de Leons, braving every danger, submitting to every privation, sacrificing wealth, fame, everything, in quest of the precious boon? What a hecatomb of ...
— The Continental Monthly, Vol III, Issue VI, June, 1863 - Devoted to Literature and National Policy • Various

... most interesting monument is a cannon that has a history. Near the head of this instrument of destruction is the legend, Pluribus nec Impar. On the body of the cannon we read Le Prince De Conde. Ultima Ratio Regum. Louis Charles De Bourbon—Comte D'Eu., Due D'Aumale. A Douay—Par T. Berenger. Commissionaire. Des Fontes Le ...
— By the Golden Gate • Joseph Carey

... her money with perfect fairness among her own kin. In the matter of wills, personal qualities were subordinate to the great fundamental fact of blood; and to be determined in the distribution of your property by caprice, and not make your legacies bear a direct ratio to degrees of kinship, was a prospective disgrace that would have embittered her life. This had always been a principle in the Dodson family; it was one form if that sense of honor and rectitude which was a proud tradition in such families,—a tradition ...
— The Mill on the Floss • George Eliot

... scarcely observe that a poem deserves its title only inasmuch as it excites, by elevating the soul. The value of the poem is in the ratio of this elevating excitement. But all excitements are, through a psychal necessity, transient. That degree of excitement which would entitle a poem to be so called at all cannot be sustained throughout a composition of any great length. After the lapse of half ...
— Harvard Classics Volume 28 - Essays English and American • Various

... 4th of March, Mr. Flood, a celebrated Irish orator, moved for leave to bring in a bill to amend the representation of the people in parliament. This bill proposed to add one hundred members to the present house of commons, in a proportionate ratio to the population of each county, to be elected by resident householders. In his speech Mr. Flood boldly asserted that the members who sat in the house were not the adequate representatives of the people. He would not deny that they were ...
— The History of England in Three Volumes, Vol.III. - From George III. to Victoria • E. Farr and E. H. Nolan

... religions of different creeds have different tendencies in inducing insanity, both as to ratio of population and as to manifestations;[66] the Protestant, when unbalanced by religious cause, is generally controlled with some idea that shows itself in wild and erratic attempts at scriptural interpretation, caused by want of fixed dogmas ...
— History of Circumcision from the Earliest Times to the Present - Moral and Physical Reasons for its Performance • Peter Charles Remondino

... Captain Waldegrave makes it amount to seventy-nine; being an increase of thirteen in five years, or twenty per cent, which is a less rapid increase than might be expected; but there can be little doubt it will go on with an accelerated ratio, provided the means of subsistence should ...
— The Eventful History Of The Mutiny And Piratical Seizure - Of H.M.S. Bounty: Its Cause And Consequences • Sir John Barrow

... forty-nine units of area to every one of weight. In graphic contrast to that, a condor (Sarcorhamphus gryphus) which weighed 16.52 pounds had a wing surface of 9.80 square feet. In other words, though the gnat needs wing surface in a ratio of forty-nine square feet per pound of weight, a great condor manages to sail along majestically with .59 of a square foot to at least a pound of weight. The unexplained phenomenon persists consistently throughout the whole domain of entomology and ornithology. ...
— Our Bird Comrades • Leander S. (Leander Sylvester) Keyser

... other words, the ratio of angular motion of two mobiles acting on each must be in the same ratio as the length of their radii at the point of contact. If we desire to give the jewel pin, or, in ordinary horological phraseology, have a greater arc of roller ...
— Watch and Clock Escapements • Anonymous

... if not the most real among the fruits of our past labours. These churches are unevenly distributed, but the explanation is easy. As a rule, they are largest in fields of labour which have been longest cultivated, and where converts are easily won. They appear, therefore, in inverse ratio to time and difficulty. To the native races of Polynesia, desolated by wars, torn in pieces by faction and strife, Christianity came as the healer and peace-maker, and was welcomed as soon as understood. To the native races of South Africa, and to the people of the West Indies, to the weak ...
— Fruits of Toil in the London Missionary Society • Various

... position, it seemed to her, were increasing at a frightful ratio. The fact that Garth might at any moment come face to face with Grylls only added to her fears. But she gave Grylls no ...
— Two on the Trail - A Story of the Far Northwest • Hulbert Footner

... from full ownership to a mere sixth of the Willie Meena. First he had given Billy half, then they had each given Rhodes a sixth; and now Judson Eells had stepped in with his contract and trimmed their holdings by a half. In another day or so, if the ratio kept up, Wunpost's sixth would be reduced to a twelfth, a twenty-fourth, a forty-eighth, a ninety-sixth—and he had discovered the mine himself! What philosophy or sophistry can reconcile a man to such buffets from the hand ...
— Wunpost • Dane Coolidge

... wearing the coronet of his sublime companionship; from the lowest forms of vegetable existence to the loftiest reaches of moral nature this side of the Infinite, this everlasting law of co-working rules the ratio of progress and development. In all the concentric spheres strung on the radius measured by these extremes, there is the same co-acting of internal and external forces. And mind, of man or angel, guides and governs both. Not a flower that ever ...
— A Walk from London to John O'Groat's • Elihu Burritt

... statement comes—with quite a different object—under the experienced eye of a nisi prius lawyer, who knows that he will have to prove his case, step by step, the aspect of things is soon changed. "De non apparentibus, et de non existentibus," saith the law, "eadem est ratio." The first practitioner in the common law, before whom the case came, in its roughest and earliest form, in order that he might "lick it into shape," and "advise generally" preparatory to its "being laid before counsel," was Mr. Traverse, a young pleader, whom Messrs. Quirk ...
— Ten Thousand a-Year. Volume 1. • Samuel Warren

... great benefactors of the world. And thy discoveries shall be forever held in gratitude; they shall herald others of even greater importance. Newton shall prove that the different planets are attracted to the sun in the inverse ratio of the squares of their distances; that the earth has a force on the moon identical with the force of gravity, and that all celestial bodies, to the utmost boundaries of space, mutually attract each other; that all particles of matter are governed ...
— Beacon Lights of History, Volume VI • John Lord

... that meaningless words have always been the favorite components of verbal charms, whose power, in the opinion of medieval conjurers, was in direct ratio to their obscurity;[38:3] and this fact is well shown in the ...
— Primitive Psycho-Therapy and Quackery • Robert Means Lawrence

... people of Granada, their Most Christian Majesties promise full protection of property, life, and faith under a government by their own magistrates, and according to their own laws; exemption from tribute for three years; and taxes thereafter, regulated by the custom and ratio of their present imposts. To such Moors as, discontented with these provisions, would abandon Granada, are promised free passage for themselves and their wealth. In return for these marks of their royal bounty, their Most Christian Majesties ...
— Leila or, The Siege of Granada, Book V. • Edward Bulwer Lytton

... pressure of the air, much better results can be obtained, and future attention in practice should be devoted to this point. The amount of work required to compress air does not increase in the same ratio as the pressure, and for this reason considerable economy can be effected at the first stage, and the loss in the ...
— Scientific American Supplement, No. 803, May 23, 1891 • Various

... and all increase of profits out of wages. I shall now, however, extort a sufficient defence of Mr. Ricardo from your own concessions. For you acknowledge that the same cause which raises the wages of the hatter will raise wages universally, and in the same ratio—that is, by twenty-five per cent. And, if such a rise in wages could raise the price of hats by sixteen and one half per cent., it must raise all other commodities whatsoever by sixteen and one half per cent. Now, tell me, Phaedrus, when all commodities without exception ...
— Memorials and Other Papers • Thomas de Quincey

... older in ratio as Vida grew plumper and younger? Wasn't her nose sharper? Wasn't her neck granulated? She stared and choked. She was only thirty. But the five years since her marriage—had they not gone by as hastily and stupidly as though she had been under ether; would ...
— Main Street • Sinclair Lewis

... Ancestors transported themselves with regard unto Church Order and Discipline, not with respect to the Fundamentals in Doctrine."—Richard Mather, Attestation to the Ratio Disciplina, ...
— The Development of Religious Liberty in Connecticut • M. Louise Greene, Ph. D.

... elect delegates to form a constitution and State government for themselves "whenever, and not before, it is ascertained by a census, duly and legally taken, that the population of said Territory equals or exceeds the ratio of representation required for a member of the House of Representatives of the Congress of the United States." The delegates thus assembled "shall first determine by a vote whether it is the wish of the people of the proposed State to be admitted into the Union ...
— A Compilation of the Messages and Papers of the Presidents - Section 4 (of 4) of Volume 5: James Buchanan • James D. Richardson

... have not equal power in shaping his character. Conceiving them, according to our figure, as arranged in line behind him and influential in the ratio of their individuality, we shall get the best notion of their method by supposing them to have taken their places in an order somewhat independent of chronology and a little different from their arrangement behind his brother. Immediately ...
— The Shadow On The Dial, and Other Essays - 1909 • Ambrose Bierce

... soups. The result of this analysis was remarkable, for he found that M. Soyer's dearest soup was the least nutritive, whilst his cheapest soup was the most so: a proportion which held through all the soups analyzed; their nutritive qualities being in an inverse ratio to their prices. In his calculation the chemist takes a child of four stones weight, as the average of persons who required food ...
— The History of the Great Irish Famine of 1847 (3rd ed.) (1902) - With Notices Of Earlier Irish Famines • John O'Rourke

... obtained facile and frequent triumphs in the boudoir. "It is a singular fact, and I look upon it as a degrading one," says Mr Grattan with diverting seriousness, "that the French officers, whilst at Madrid, made in the ratio of five to one more conquests than we did." The dignity of the admission might be questioned; the degree of degradation is matter of opinion; the singularity is explained away by Mr Grattan himself. He blames his comrades for their stiff, unbending manners, ...
— Blackwood's Edinburgh Magazine, Volume 61, No. 378, April, 1847 • Various

... the sea. This sentence was put into immediate execution! and all the arms on board, which now filled their minds with horror, were, with the exception of a single sabre, committed to the deep. Distress and misery increased with an accelerated ratio; and even after the desperate means of destroying their companions, and eating the most nauseous aliments, the surviving fifteen could not hope for more than a few days' existence. A butterfly lighted on their sail the ninth day, ...
— Thrilling Adventures by Land and Sea • James O. Brayman

... those compensations which existed for the Infantryman near the enemy. It was necessary to go back to Divisional Headquarters to find any substantial difference or to live an ordered life on a civilised footing; and there, too, responsibility had increased by an even ratio. ...
— The Story of the 2/4th Oxfordshire and Buckinghamshire Light Infantry • G. K. Rose

... pressure, spray oxygen into the ventilation system, which is released in a measure proportionate to the number of the crew; there is a meter in the distributing section of the oxygen tubes, which is set to act automatically at a certain ratio per man. The ordinary atmosphere is bearable for a long time and this costly method of cleansing the air is used only as a last resort; the moment at which it must be employed is closely calculated to correspond, not ...
— The Journal of Submarine Commander von Forstner • Georg-Guenther von Forstner

... look-outs upon which no one ever steps after the carpenter leaves them,—all for the sake of pleasing the eye. And all this without any real and lasting success,—with a success, indeed, that seems often in an inverse ratio to the effort. If a man have a pig-stye to build, or a log-house in the woods, he may hit upon an agreeable outline; but let him set out freely and with all deliberation to build something that shall ...
— The Atlantic Monthly, Vol. I., No. 3, January 1858 - A Magazine of Literature, Art, and Politics • Various

... it is difficult to lay down anything definite. Afterwards, as is well known, 100,000 -asses- was regarded as the minimum census of the first class; to which the census of the other four classes stood in the (at least approximate) ratio of 3/4, 1/2, 1/4, 1/9. But these rates are understood already by Polybius, as by all later authors, to refer to the light -as- (1/10th of the -denarius-), and apparently this view must be adhered to, although in reference to the Voconian law the same sums ...
— The History of Rome (Volumes 1-5) • Theodor Mommsen

... in favour with the Father of the Marshalsea in the ratio of his increasing visits. His obtuseness on the great Testimonial question was not calculated to awaken admiration in the paternal breast, but had rather a tendency to give offence in that sensitive quarter, and to be regarded as a positive shortcoming ...
— Little Dorrit • Charles Dickens

... spirit of pessimism or of prejudice, but in the belief that the only way to remedy an evil or a difficulty is candidly and fundamentally to understand it. Two things are evident: First, the negro population is certain to increase in the United States, in a ratio at least equal to that of the whites. Second, the South needs its labor. Its deportation is an idle dream. The only visible solution is for the negro to become an integral and an intelligent part of the industrial community. ...
— Baddeck and That Sort of Thing • Charles Dudley Warner

... consequence, and was accordingly much more valued than at present. Scarce any great genius is mentioned in antiquity, who is not celebrated for this talent; and Cicero enumerates it among the other sublime qualities of Caesar himself. [Footnote: Fruit in Illo Ingenium, ratio, memoria, literae, cura, cogitatio, diligentia &c. ...
— An Enquiry Concerning the Principles of Morals • David Hume

... defeat her Peloponnesian enemies at Cecryphalae and AEgina, capturing in the last engagement seventy galleys. This last fact may give us some idea of the strength of the Athenian home-fleet that gained the victory; and by adopting the same ratio of multiplying whatever number of galleys we suppose to have been employed, by two hundred, so as to gain the aggregate number of the crews, we may form some estimate of the forces which this little, Greek state then kept on foot. Between ...
— The Fifteen Decisive Battles of The World From Marathon to Waterloo • Sir Edward Creasy, M.A.

... importance.—'Very well,' cried the 'Squire, speaking very quick, 'the premises being thus settled, I proceed to observe, that the concatenation of self existences, proceeding in a reciprocal duplicate ratio, naturally produce a problematical dialogism, which in some measure proves that the essence of spirituality may be referred to the second predicable'—'Hold, hold,' cried the other, 'I deny that: Do you think I can thus tamely submit ...
— The Vicar of Wakefield • Oliver Goldsmith

... countries, Deception takes the place of wages of Performance: here truly is an Inquiry big with results for the future time, but to which hitherto only the vaguest answer can be given. If for the present, in our Europe, we estimate the ratio of Ware to Appearance of Ware so high even as at One to a Hundred (which, considering the Wages of a Pope, Russian Autocrat, or English Game-Preserver, is probably not far from the mark),—what almost prodigious saving may there not be anticipated, as the Statistics of Imposture advances, and so ...
— Sartor Resartus, and On Heroes, Hero-Worship, and the Heroic in History • Thomas Carlyle

... in all Europe; and when it shall be carried through to Drontheim, the terrors which this trip has for timid travellers will entirely disappear. It is a pity that the skyds system should not be improved in equal ratio, instead of becoming even more inconvenient than at present. Holmen, hitherto a fast station, is now no longer so; and the same retrograde change is going on at other places along the road. The waiting at the tilsigelse ...
— Northern Travel - Summer and Winter Pictures of Sweden, Denmark and Lapland • Bayard Taylor

... decreasing, and already in some of the elder settlements, have totally disappeared. It is equally indisputable that the presence of the white man has been the sole agent in producing so lamentable an effect; that the evil is still going on, increased in a ratio proportioned to the number of new settlements formed, or the rapidity with which the settlers overrun new districts. The natural, the inevitable, but the no less melancholy result must be, that in the course of a few years more, if nothing be done to check it, the whole of ...
— Journals Of Expeditions Of Discovery Into Central • Edward John Eyre

... in his pocket from his sister Keziah telling him that old Priest Wilson had been found dead in his bed last night; the bishop's chaplain was a friend of his, both having been at the same station in India; and the perpetual curacy of Monk Grange was one which, if offices went according to their ratio of unpleasantness, a man should have been paid a large income to take. Hence there was no chance of a rush for the preferment, and the bishop would be grateful for any intimation of a willing martyr. Through ...
— Lippincott's Magazine of Popular Literature and Science - Vol. XVII, No. 102. June, 1876. • Various

... one by its approximation to the views of Spinoza and of Kant. With the former it has in common the principle of love toward God, as well as numerous details; with the latter, the absoluteness of the moral law (in rebus moralibus absolute praecipit ratio aut vetat, nulla interposita conditione); with both the depreciation of sympathy, on the ground that it is a ...
— History Of Modern Philosophy - From Nicolas of Cusa to the Present Time • Richard Falckenberg

... attainment of the longest range, such a preponderance of weight in the gun over that of the projectile is necessary as to secure the least possible recoil, and this point seems to have been fixed by our best gun-makers at the ratio of five hundred to one, which would require a gun weighing nearly sixteen pounds to carry a half-ounce ball or shot. We use the word ball from habit, meaning, merely, the projectile, which will probably never again resume its spherical shape in actual service. We conceive the perfection ...
— The Atlantic Monthly, Vol. IX., March, 1862., No. LIII. - A Magazine Of Literature, Art, And Politics, • Various

... the watchers by the fires might have been discovered, and the enemy come on to the attack upon a force weakened first by one-fourth, then by half, and later on by three-fourths of its number, the danger increasing at a terrific ratio for those who were left. At last, still keeping manfully to their posts, the last portion—the last quarter of the little force—stood waiting, nearly all English, those of Spanish descent consisting of Don Ramon ...
— Fitz the Filibuster • George Manville Fenn

... of these nervous unfortunates, we might say to them, that the statistics of this affection show a very considerable ratio in favour of escape from inoculation when bitten, or of entire recovery even after the development of the disease, and that there are many other ills in the catalogue of medicine that they should take equal pains to provide against as lyssa canina. ...
— The Dog - A nineteenth-century dog-lovers' manual, - a combination of the essential and the esoteric. • William Youatt

... committed by the follower of such a powerful god and magician, as expedience is so often the father of a dispensation. Yet nevertheless in Yabolo, if not in Sakamata, whose hatred of the tribal craft was deep in ratio to the degeneracy of his native code, the outrage upon Bakuma as the Bride of the Banana, while an act of dangerous sacrilege when performed by a Wongolo, violated the half suppressed traditions and kindled a spark of bitter resentment ready to flare up against ...
— Witch-Doctors • Charles Beadle

... his memoir "he adhered with conscientious fidelity. He distributed the profits of his business with an increasing ratio, from year to year, till he reached the point which he had fixed as a limit to his property, and then gave to the cause of God all the money which he earned. At one time, finding that his property ...
— George Muller of Bristol - His Witness to a Prayer-Hearing God • Arthur T. Pierson

... it, causing a manifest prostration consequent upon defective repair. It is true that because of a certain mechanical law which cannot be here explained, a small organism has an advantage over a large one in the ratio between the sustaining and destroying forces—an advantage, indeed, to which the very possibility of growth is owing. But this admission only makes it the more obvious that though much adverse treatment may be borne without this excess of vitality being quite out-balanced; ...
— Essays on Education and Kindred Subjects - Everyman's Library • Herbert Spencer

... the corricolo. In the present advanced state of civilization, every thing is diverted from its primitive destination. As it is impossible to say at what period, or in how long a time, the capacity of the vehicle in question was extended in the ratio of one to fifteen, I must content myself with describing the way of ...
— Blackwood's Edinburgh Magazine, No. 341, March, 1844, Vol. 55 • Various

... However, even at that we saved a lot of time. You can save quite a bit more, though, by having a rocket-plane come out to meet us somewhere around fifteen or twenty thousand kilometers, depending upon where you want to land. With their power-to-mass ratio they can match our velocity and still ...
— Triplanetary • Edward Elmer Smith

... large a matter. Progress there is in knowledge; and science has enabled the number of human beings capable of existing upon this earth to be indefinitely multiplied. But this is but a small triumph if the ratio of the good and bad, the wise and the foolish, the full and the hungry remains unaffected. And we cheat ourselves with words when we conclude out of our material splendour an advance of the race. One fruit only our mother earth offers up with pride to her maker—her human children ...
— Froude's Essays in Literature and History - With Introduction by Hilaire Belloc • James Froude

... conditions. The South had recovered from the sad effects of the Civil War, and had in a measure regained its former position in the world of trade, as well as in that pertaining to the affairs of the Government. The population of the country had almost doubled; the ratio of representation in the Lower House of Congress largely augmented; the entire electoral vote increased from 369 to 444. Eight new States had been admitted to the Union, thus increasing the number of Senators from ...
— Something of Men I Have Known - With Some Papers of a General Nature, Political, Historical, and Retrospective • Adlai E. Stevenson

... something of this kind: When a benefactor was not able or not willing to part with an estate out and out, he settled on the Church which he was endowing a certain portion of the income arising out of the estate. The ratio which this portion bore to the whole amount varied enormously, and so one man gave a tithe of corn only, another a tithe of wood, another a tithe of meadow land, another a tithe of stock, another tithes of all ...
— The Church Handy Dictionary • Anonymous

... mesoblast to form the spines and laminae fail to take place. The cleft may implicate only the spinous processes, but as a rule the laminae also are deficient. The defect usually extends over several vertebrae (Fig. 219). While the protrusion varies much in size, there is no constant ratio between the dimensions of the swelling and the extent of the defect ...
— Manual of Surgery Volume Second: Extremities—Head—Neck. Sixth Edition. • Alexander Miles

... The ratio of importance between life and letters varies a good deal with different writers: and the circumstances of the life have seldom been of more importance to the letter than in the case of "Lady Mary"—Pierrepont as she was born. When she was a girl she held an unusual place in the ...
— A Letter Book - Selected with an Introduction on the History and Art of Letter-Writing • George Saintsbury

... storm; whereas prime ministers, like individuals, are the sports of destiny; things happen and they have to make the best of them. The performances of the Laurier government may be divided into two classes, those due to its own initiative and those which were imposed by circumstances. The ratio between the two classes changed steadily as the administration grew in age. After the impetus born of the reforming zeal of opposition and the natural and creditable desire to fulfil express engagements dies away, the inclination of a government is not to invite trouble by looking around for ...
— Laurier: A Study in Canadian Politics • J. W. Dafoe

... ladies that the thing which we describe as personal beauty consists altogether in the protuberance of the region which lies not very far below the small of the back. Perfection of loveliness, they say, is in the direct ratio of the extent of this lump. Having been long possessed of this idea, and bolsters being cheap in that country, the days have long gone by since it was possible to distinguish a ...
— The Works of Edgar Allan Poe - Volume 2 (of 5) of the Raven Edition • Edgar Allan Poe

... a lucky boy in the world I am the one," thought David, whose spirits were elevated in the same ratio in which they had before been depressed. "I'll earn my hundred and fifty dollars now, and mother shall have her nice things in spite of Dan and Lester. It isn't every fellow who has such friends as Don and Bert Gordon. But I shall have a hard time of it, ...
— The Boy Trapper • Harry Castlemon

... the earth and the centre of the leaden globe were at the same distance from the attracted body, then the intensity of their attractions would give at once the ratio of their masses by simple proportion. In this case, however, matters are not so simple: the leaden ball is only distant by a few inches from the attracted ball, while the centre of the earth's attraction is nearly 4,000 miles away at the centre of the earth. Allowance has ...
— The Story of the Heavens • Robert Stawell Ball

... ask himself where the effort is most likely to be successful, and what obstacles, in addition to those represented by opponents, he will be required to surmount. The effects of such conditions may alter the ratio otherwise ...
— Sound Military Decision • U.s. Naval War College

... can use any other but the grossest scale by which to determine whether you are responsible to the extent of the whole, one half, or one third. And since there is no absolute or objective criterion by which the ratio of crime to punishment can be determined, penal justice becomes a game of chance. But we content ourselves by pointing out that segregation for an indefinite time has so much truth in it, that even the most orthodox of the classic school admit it, for instance ...
— The Positive School of Criminology - Three Lectures Given at the University of Naples, Italy on April 22, 23 and 24, 1901 • Enrico Ferri

... colony everything increases rapidly in worth—a landed estate which can be bought in the early stages of its existence at a mere nominal price grows yearly in value without a penny being expended upon it; stock increases in a geometrical ratio, at little or no cost, for there is plenty of land to pasture them upon. Nothing of this kind either does or can take place in England; and when the settler finds how changed his prospects are, and how new means of acquiring ...
— Journals Of Two Expeditions Of Discovery In North-West And Western Australia, Vol. 2 (of 2) • George Grey

... very repugnant odor; it varies in color from yellow to black; and its specific gravity ranges from about 0.80 to 1.00, but commonly is between 0.80 and 0.90. Its chemical constitution is chiefly of carbon and hydrogen, in the approximate ratio of about six to one respectively. It is a mixture of paraffin hydrocarbons having the general formula of C{n}H{2n2} and the individual members of this series vary from CH{4} (methane) to C{15}H{32} (pentadecane), ...
— Artificial Light - Its Influence upon Civilization • M. Luckiesh

... my anxieties and my slothfulness, acting in a combined ratio, prevented me from finishing my 'Progress of Liberty, or Visions of the Maid of Orleans' with that Poem at the head of the volume, with the 'Ode' in the middle, and the ...
— Reminiscences of Samuel Taylor Coleridge and Robert Southey • Joseph Cottle

... Dr. Dukes observes—I feel sure it could be so far removed as to cause the numbers to change places, so that we might obtain a percentage of ninety to ninety-five of those who lead pure lives while at school, as against five per cent, who are impure, reversing the lamentable ratio that now exists. But here again there has been progress, and I feel sure that the percentage of parents who do warn and teach their sons before sending them to school is now incomparably higher than Dr. Dukes's "one per cent." ...
— The Power of Womanhood, or Mothers and Sons - A Book For Parents, And Those In Loco Parentis • Ellice Hopkins

... Diet, kitchen physick, &c. while a numerous band of medical authors have written de cibis et alimentis, and have always classed diet among the non-naturals; so they call them, but with what propriety they best know. Hence Junius '[Greek: Diaita] Grcis est victus, ac speciatim certa victus ratio, qualis a Medicis ad tuendam valetudinem prscribitur [65].' Our Cooks expressly tell us, in their proem, that their work was compiled 'by assent and avysement of maisters of phisik and of philosophie that dwelliid in his [the King's] court' where physik ...
— The Forme of Cury • Samuel Pegge

... divinity which attaches to the cultivated man. And, though it may seem rather unfair to judge a savage by the rules of civilization, it has long been received as a canon, that true valor bears an inverse ratio to ferocious cruelty. Of all people yet discovered upon earth, the Indian is the most ferocious. We must, therefore, either vary the meaning of the word, when applied to different people, or deny the savage the possession of any higher bravery, than that ...
— Western Characters - or Types of Border Life in the Western States • J. L. McConnel

... three years' regiments sent from the State. It would appear that the 103d Ohio had become pretty well imbued with the spirit characteristic of the headquarters with which it was associated, to claim credit in an inverse ratio to services rendered. ...
— The Battle of Spring Hill, Tennessee - read after the stated meeting held February 2d, 1907 • John K. Shellenberger

... Scotland, with an almost equal population, is half a million sterling. To appreciate the point of this it must be realised that the indictable offences committed in Ireland in a year are in the proportion of 18 as compared with 26 committed in Scotland, while criminal convicts are in the ratio of 13 in Ireland ...
— Ireland and the Home Rule Movement • Michael F. J. McDonnell

... minds of her age. To have produced, without the aid of fictions like these, a Joanna so beautified and exalted, would undoubtedly have yielded greater satisfaction: but it may be questioned whether the difficulty would not have increased in a still higher ratio. The sentiments, the characters, are not only accurate, but exquisitely beautiful; the incidents, excepting the very last, are possible, or even probable: what remains is but ...
— The Life of Friedrich Schiller - Comprehending an Examination of His Works • Thomas Carlyle

... bibere, relinquit saporem super linguam lactis amygdalini, et multum reddit interiora hominis iucunda, et etiam inebriat debilia capita: multum etiam prouocat vrinam. Faciunt etiam Cara-cosmos, hoc est nigrum cosmos ad vsum magnorum dominorum, hoc modo. Lac equinum non coagulatur. Ratio enim est: quod nullius animalis lac nisi cuius fetet venter non inuenitur coagulum. In ventre pulli equi non inuenitur: vnde lac equa non coagulatur. Concutiunt ergo lac in tantum, quod omnino quod spissum est in eo vadat ad fundum recta, sicut faces vini, et quod purum est remanet superius et est ...
— The Principal Navigations, Voyages, Traffiques, and Discoveries - Vol. II • Richard Hakluyt

... was called, didn't advertise what sort of thing it was developing—but everybody knew that Lyman Dane was an expert on reactive propulsion of rocket motors. He could tell you—and frequently would without being asked—exactly what mass ratio, nozzle diameter and propulsive velocity would be needed for the first trip to the Moon. He knew how many hours a round trip would take, both for landing there or merely circling the body ...
— This is Klon Calling • Walt Sheldon

... seven hundred thousand when Washington's administration was organized. They had increased to four millions when Lincoln was chosen President. Their number in 1860 was less in proportion to the white population than it was in 1789. The immigration of whites had changed the ratio. But the more marked and important change had been in the value of slave labor. In 1789 the slaves produced little or no surplus, and in many States were regarded as a burden. In 1860 they produced a surplus ...
— Twenty Years of Congress, Vol. 1 (of 2) • James Gillespie Blaine

... Britain and Germany would unquestionably be the bloodiest war in all history, and it probably would be the last one, because it would only end in the dominance of one power over all the others. If we concern ourselves only with Britain—from the eugenic standpoint—who would dare compute the ratio of marriageable females over the males after the war was over? The consequence of such a war on posterity would be tragic. It would mean the annihilation of the fittest for fatherhood for generations. Only the unfit would be left from ...
— The Eugenic Marriage, Volume I. (of IV.) - A Personal Guide to the New Science of Better Living and Better Babies • W. Grant Hague, M.D.

... North, of the Doubs, of the Drome, of the Jura, of the Landes, of the Lot, of the Meuse, of the lower Pyrenees, of the lower and upper Rhine, of the upper Saone; and less than three hundred in the other departments; these numbers are to be completed by calling on those who are next in the ratio of taxation. ...
— Memoirs To Illustrate The History Of My Time - Volume 1 • Francois Pierre Guillaume Guizot

... in opportunity and the consequent wide difference between the few and the many; that the result of such conditions was to render inefficient a large part of the population, the percentage differing in each country in the ratio that education and enlightened and unselfish laws bore to ignorance, bigotry and selfish laws. But little progress, he said, had been made in the early centuries for the reason that opportunity had been confined to a few, and it was only recently ...
— Philip Dru: Administrator • Edward Mandell House

... himself is said to have considered the most important of all his innovations is one that seems much less striking. It is the answer to the question, What is the relation in bulk between a sphere and its circumscribing cylinder? Archimedes finds that the ratio is simply two to three. We are not informed as to how he reached his conclusion, but an obvious method would be to immerse a ball in a cylindrical cup. The experiment is one which any one can make for himself, with approximate accuracy, ...
— A History of Science, Volume 1(of 5) • Henry Smith Williams

... vary in a ratio with the respect in which I held the questioner. I would not tell the truth, but I should say something. And I am glad to see you attentive to my lessons. Always ask questions, and you will always find ...
— The Memoires of Casanova, Complete • Jacques Casanova de Seingalt

... carried off by a cannon-ball, still cried out to his men, "Brothers, defend your country! Defend her boldly. You will conquer!"[1] The charges of the Polish reapers went far to turn the tide of victory; but the overwhelming numbers of Prussian soldiers, and of scientific machines of war in a ratio of three to Kosciuszko's one, carried the day against the Poles. Kosciuszko's horse was shot under him, and himself slightly wounded. Only two of his generals emerged from the battle unscathed. The rest were either killed, ...
— Kosciuszko - A Biography • Monica Mary Gardner

... corroborated our own Premier's assertions, by calling the Pope's the "worst government in Europe." In fact, he showed very clearly that the smaller states of Italy were well or ill administered in the direct ratio that they admitted or rejected Papal interference,—Modena being the worst, and ...
— Cornelius O'Dowd Upon Men And Women And Other Things In General - Originally Published In Blackwood's Magazine - 1864 • Charles Lever

... J. Will.—Quae ratio intercedat inter Dionis Cassii de Caesaris bellis gallicis narrationem et commentarios Caesaris de bello ...
— Dio's Rome, Volume 1 (of 6) • Cassius Dio

... chrysolito, amethisto, magnete, &c. Item aliud in lapidibus, silice, salibus, fontibus, &c. nec vero tot sulphura tantum, sed & totidem salia; sal aliud in metallis, aliud in gemmis, aliud in lapidibus, aliud in salibus, aliud in vitriolo, aliud in alumine: similis etiam Mercurii est ratio. Alius in Metallis, alius in Gemmis, &c. Ita ut unicuique speciei suus peculiaris Mercurius sit. Et tamen res saltem tres sunt; una essentia est sulphur; una est sal; una est Mercurius. Addo quod & specialius adhuc singula ...
— The Sceptical Chymist • Robert Boyle

... it on thick to the kids, though," said Wrangham, who happened to be present. "His lickings are in inverse ratio to the size ...
— Follow My leader - The Boys of Templeton • Talbot Baines Reed

... the first system, riches are the result of labor. They increase in the same ratio as the result does to the effort. Absolute perfection, of which God is the type, consists in the infinite distance between these two terms in this relation, viz., effort ...
— What Is Free Trade? - An Adaptation of Frederic Bastiat's "Sophismes Econimiques" - Designed for the American Reader • Frederic Bastiat

... life. Of course, here and there where a tenant has been lucky enough to get hold of some new land, he makes a good crop, but after three or four years of cultivation, his crop begins to decrease and this decrease is kept up at a certain ratio as long as he keeps the land. Instead of improving, the tenant's condition becomes worse each year until he finds it impossible to support his family on the farm. Farm after farm is being abandoned or given up to the care of the old men and women. Already, most of these are too old ...
— Twenty-Five Years in the Black Belt • William James Edwards

... inhabitants, to a conformity with which we are now to reduce the ensuing ration of representation and taxation. You will perceive that the increase of numbers during the last 10 years, proceeding in geometric ratio, promises a duplication in little more than 22 years. We contemplate this rapid growth and the prospect it holds up to us, not with a view to the injuries it may enable us to do others in some future day, but to the settlement of the extensive ...
— Complete State of the Union Addresses from 1790 to the Present • Various

... that it now constitutes the largest, surest, and most easily available means of progress, prosperity, and power known to civilized nations; or that the development, wealth, and independence of any country will be in the ratio of the application of steam to all of the ordinary purposes of life. It has been canonized among the sacred elements of national power, and commissioned as the great laborer of the age. Every civilized nation has adopted it as the best means of interior development, and as ...
— Ocean Steam Navigation and the Ocean Post • Thomas Rainey

... religion. By no means. Neither would we wage a crusade against philosophical systems of moral truth. But where the active sympathy and humanity of loving hearts for living men, and for men in the ratio in which they are low, is laid aside or diminished to a minimum, and in its place is a well-elaborated philosophical system of moral truths, hewn and jointed,—the gospel is gone. If you go along the sea-shores, you will often find the shells of fish—the fish dead and gone, the shells ...
— Library Of The World's Best Literature, Ancient And Modern, Vol 4 • Charles Dudley Warner

... with his superior brain capacity, were encouraged to cultivate the habits of observation at present restricted to woman, and to apply his intelligence to everything, instead of to a few selected objects, the ratio of the world's progress would be enormously increased. Who first started the notion that man is being manufactured into a superior article, and that woman cannot do better than submit herself with all haste to the same process, I do not know. At any rate, it is a disastrous doctrine, and the sooner ...
— The Curse of Education • Harold E. Gorst

... then, to be considered with reference to the motion of the glacier are as follows. First that the rate of advance between the axis and the margins of a glacier differs in the ratio of about ten to one and even less; that is to say; when the centre is advancing at a rate of two hundred and fifty feet a year, the motion toward the sides may be gradually diminished to two hundred, one hundred and fifty, one hundred, fifty feet, and so on, till ...
— The Atlantic Monthly, Vol. 12, No. 74, December, 1863 • Various

... law which perhaps comprehends these facts. It is this. The rapidity with which ideas grow old in our memories is in a direct ratio to the squares of their importance. Their apparent age runs up miraculously, like the value of diamonds, as they increase in magnitude. A great calamity, for instance, is as old as the trilobites an hour after it has happened. It stains backward through all the leaves we have turned ...
— The Autocrat of the Breakfast Table • Oliver Wendell Holmes

... premises being thus settled, I proceed to observe that the concatenation of self-existence, proceeding in a reciprocal duplicate ratio, naturally produces a problematical dialogism, which in some measure proves that the essence of spirituality may be referred to the ...
— Familiar Quotations • John Bartlett

... auriculus are noticeably larger than those of evotis. The first two lower premolars are sub-equal in auriculus whereas in evotis the first lower premolar usually is larger. The mandible, in relation to the greatest length of the skull, is longer in auriculus (ratio, 71-74) than in evotis ...
— A New Long-eared Myotis (Myotis Evotis) From Northeastern Mexico • Rollin H. Baker

... ITSELF AGAIN in each generation. The primordial cell being capable of reproducing itself not only once, but many times over, each of the creatures which it produces must be similarly gifted; hence the geometrical ratio of increase and the existing divergence of type. In each generation it will pass rapidly and unconsciously through all the earlier stages of which there has been infinite experience, and for which the conditions ...
— Life and Habit • Samuel Butler

... out to ten or twelve—at times to contract to two or three; but what they gained in quantity they always lost in quality, and became mischievous with the addition of every new member, in greatly more than the arithmetical ratio. When most innocent, they consisted of only a brace of members—a warm-hearted, intelligent boy from the south of Scotland, who boarded with two elderly ladies of the place, and attended the subscription school; ...
— My Schools and Schoolmasters - or The Story of my Education. • Hugh Miller

... the Malthusian doctrine,—the fear of over-population as a hindrance to social reform,—was dismissed from consideration. It is at best but a worn-out scarecrow shaking its vain rags in the wind. Population, it is true, increases in a geometrical ratio. The human race, if favored by environment, can easily double itself every twenty-five years. If it did this, the time must come, through sheer power of multiplication, when there would not be standing room for it on the globe. All of this is undeniable, but it is quite ...
— The Unsolved Riddle of Social Justice • Stephen Leacock

... of things," she said slowly. "You don't realize the comparative ratio of one thing to another. Any man can give happiness to a woman who loves him—but that's no bargain! He merely gives her happiness by taking his own. Do you call that a fair exchange? To you, drunk with romance, ...
— Sally Bishop - A Romance • E. Temple Thurston

... conclusion which, although it may not justify their existence, will give a hint as to their expediency. The question to be put to any doubtful fact in nature is this—'What is your use?' and the reality of the fact is in ratio to the degree of usefulness inhering in it. Thus treated, most of the objects to which I have referred may be able to adduce some excuse for their existence. A lobster may aver that if he were not alive his absence would ...
— Here are Ladies • James Stephens

... which we call faint are farther from us than the brighter ones; and, on the whole, the brilliancy of our brightest and nearest stars is not very far from the brilliancy of the average star in space. We cannot yet define the word very by a numerical ratio. ...
— Sir William Herschel: His Life and Works • Edward Singleton Holden

... complicated; and is, in addition, the seat of the mind, the intellect, and the affections. Like all the other tissues of the body, the brain receives its nourishment from the blood-vessels which pass through it, and its healthy maintenance is in a direct ratio to the ...
— The Four Epochs of Woman's Life • Anna M. Galbraith

... must be silent; and even if I do, they have no further right but to refuse the invitation! There is a kind of idea abroad that a man must live up to his station, that his house, his table, and his toilette, shall be in a ratio of equivalence, and equally imposing to the world. If this is in the Bible, the passage has eluded my inquiries. If it is not in the Bible, it is nowhere but in the heart of the fool. Throw aside this fancy. See what you want, and spend upon that; distinguish what you do not care about, and ...
— Lay Morals • Robert Louis Stevenson



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