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Ratio   Listen
noun
Ratio  n.  
1.
(Math.) The relation which one quantity or magnitude has to another of the same kind. It is expressed by the quotient of the division of the first by the second; thus, the ratio of 3 to 6 is expressed by 3/6 or ½; of a to b by a/b; or (less commonly) the second term is made the dividend; as, a:b = b/a. Note: Some writers consider ratio as the quotient itself, making ratio equivalent to a number. The term ratio is also sometimes applied to the difference of two quantities as well as to their quotient, in which case the former is called arithmetical ratio, the latter, geometrical ratio. The name ratio is sometimes given to the rule of three in arithmetic. See under Rule.
2.
Hence, fixed relation of number, quantity, or degree; rate; proportion; as, the ratio of representation in Congress.
Compound ratio, Duplicate ratio, Inverse ratio, etc. See under Compound, Duplicate, etc.
Ratio of a geometrical progression, the constant quantity by which each term is multiplied to produce the succeeding one.






Collaborative International Dictionary of English 0.48








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"Ratio" Quotes from Famous Books



... perfected when I come"[467]; and similarly S. Gregory says[468]: "The contemplative life begins here below to be perfected in our heavenly home." But in that future life we shall not merit, but shall receive the reward of our merits. Consequently the contemplative life seems to have less of the ratio of merit than has the active life; but it has more of the ...
— On Prayer and The Contemplative Life • St. Thomas Aquinas

... 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, ...
— Sartor Resartus - The Life and Opinions of Herr Teufelsdrockh • Thomas Carlyle

... content of tree leaves is very similar to their ratio of carbon (C) compared to nitrogen ...
— Organic Gardener's Composting • Steve Solomon

... 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 ...
— The World's Greatest Books - Volume 15 - Science • Various

... is to strike out—polish off—the useless words and phrases. It is wonderful with how many fewer words most things could be said that are said; while the degree of certainty and rapidity with which an idea is conveyed would generally be found to be in an inverse ratio to ...
— A Dish Of Orts • George MacDonald

... advancement of life now among ourselves. In essence it is neither more nor less than this, as the rain-drop which denuded an ancient formation is of the same kind as that which is denuding a modern one, though its effect may vary in geometrical ratio with the effect it has produced already. As we are extending reason to the lower animals, so we must extend a system of moral government by rewards and punishments no less surely; and if we admit that to some considerable extent man is man, and master of his fate, we should admit also ...
— Luck or Cunning? • Samuel Butler

... evening together, and Stanbury learned all that Mrs. Trevelyan could tell him of her husband's state. There was no doubt, she said, that his reason was affected; but she thought the state of his mind was diseased in a ratio the reverse of that of his body, and that when he was weakest in health, then were his ideas the most clear and rational. He never now mentioned Colonel Osborne's name, but would refer to the affairs of the last two years ...
— He Knew He Was Right • Anthony Trollope

... been the advances made by all the three branches of science, of old included under the title of natural history, there can be no doubt that zoology and botany have grown in an enormously greater ratio than mineralogy; and hence, as I suppose, the name of "natural history" has gradually become more and more definitely attached to these prominent divisions of the subject, and by "naturalist" people have meant more and more distinctly to imply a student of the ...
— Discourses - Biological and Geological Essays • Thomas H. Huxley

... chosen by ballot, to be elected by the counties respectively, according to their population, and each county shall have at least one Representative in the House of Representatives, although it may not contain the requisite ratio of representation; this apportionment shall be made by the General Assembly at the respective times and periods when the districts for the Senate are herein before directed ...
— School History of North Carolina • John W. Moore

... they determined to throw them into 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, and though it was held to be a messenger ...
— Thrilling Adventures by Land and Sea • James O. Brayman

... living he was liberated from the unsatisfactory wranglings, the bitter jealousies, and vexatious interference of his London patrons, whose self-sufficiency and spiritual pride were, like those of many amateur theologians at the present day, in inverse ratio to their knowledge and ability. He had the satisfaction of seeing a son grow up to be worthy of his father. To that son we are indebted for the very interesting biography of Thomas Scott, a biography in which filial piety has not ...
— The English Church in the Eighteenth Century • Charles J. Abbey and John H. Overton

... the continuous operation of the elevator at maximum load. Taking this fact into consideration, and the circumstances of elevator use being about the same in this case as in the case of the open tank elevator, we have a greater ratio of difference between the possible or contract H. P. hours in the motor and the H. P. hours of actual service, the maximum average use being about 70 per cent. to 75 per cent. and the minimum as low as 35 per cent. ...
— Scientific American Supplement, No. 664, September 22,1888 • Various

... similar character, dotted here and there about the little city. Add to these the innumerable smaller haunts of vice that line the more obscure streets-that, rampart-like, file along the hundred and one "back lanes" that surround the scattered town, and, reader, you may form some estimation of the ratio of vice and wretchedness in this population of thirty thousand, of which the enslaved ...
— Justice in the By-Ways - A Tale of Life • F. Colburn Adams

... that miserable muleteer-boy ought to have known better than another, it was the insuperable objection entertained by the Provencal peasant to any thing like trespass on his territory (the touchiness of the proprietaire bears generally an inverse ratio to the extent of his possessions); yet, to make a short cut of about two hundred yards, he had led his party through a gap in the low stone wall over a strip of ground belonging to the very man who was least likely to overlook the intrusion. Jean ...
— Sword and Gown - A Novel • George A. Lawrence

... sanction it had to consider whether green youths and women might not think a grey head had delayed it too long. The practice of the duel begot the peculiar animal logic of the nobler savage, which tends to magnify an offence in the ratio of our vanity, and hunger for a blood that is not demanded by the appetite. Moreover, a waning practice, in disfavour with the new generation, will be commended to the conservative barbarian, as partaking of the wisdom ...
— The Shaving of Shagpat • George Meredith

... remembrance while writing 'Il Penseroso.'" [24] The author thinks that, whatever may be true of Gothic architecture—an art less national than ecclesiastical—"sculpture and painting, on the one hand, and the spirit of chivalry on the other, have usually flourished in an inverse ratio one to the other, and it is not therefore in England, France, or Spain, but among the free cities of Italy and Germany that we must look for their rise." [25] I give these conclusions—so opposite to those of Catholic mediaevalists like Digby and Pugin—because they illustrate ...
— A History of English Romanticism in the Nineteenth Century • Henry A. Beers

... of the paper squares until I had reached a total of twenty-eight, or seven times the number required by the wasp, before the scales balanced. Similar experiments with the tiny black wasp and its spider victim showed precisely the same proportion, and the ratio was once increased eight to one in the instance of another species of slender orange-and-black-bodied digger which I subsequently found tugging its caterpillar ...
— My Studio Neighbors • William Hamilton Gibson

... 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 two parts in one ...
— An Introductory Course of Quantitative Chemical Analysis - With Explanatory Notes • Henry P. Talbot

... according to their numbers or wealth, consume so great a proportion of imported articles as those States which are not in the same favorable situation. They would not, therefore, in this mode alone contribute to the public treasury in a ratio to their abilities. To make them do this it is necessary that recourse be had to excises, the proper objects of which are particular kinds of manufactures. New York is more deeply interested in these considerations ...
— The Federalist Papers • Alexander Hamilton, John Jay, and James Madison

... that all truths cannot be established by reasoning. For the attempt to do so would involve us in an infinite regress, wherein the number of syllogisms required would increase at each step in a geometrical ratio. To establish the premisses of a given syllogism we should require two preceding syllogisms; to establish their premisses, four; at the next step backwards, eight; at the next, sixteen; and so on ad infinitum. Thus the very possibility of reasoning implies truths that are known to ...
— Deductive Logic • St. George Stock

... crosses the Rhine; so that Western Europe is, in fact, not yet connected by the iron pathway with Eastern. Among the many thousand miles of continental railway, there must, of course, be numerous constructions of great skill and magnitude; but the ratio is small compared with ...
— Chambers's Edinburgh Journal, No. 452 - Volume 18, New Series, August 28, 1852 • Various

... back to the freezer; but as the days passed on, the situation grew worse. Aunt Mary slept more and more, and awoke to an ever-increasing ratio ...
— The Rejuvenation of Aunt Mary • Anne Warner

... vnum quod dicunt Canopum, quod aestimo planetam Veneris. [Sidenote: Hunc locum notat Gerardus Mercator in sua charta generali.] Et quod mirum est valde de omni lunatione ijs apparet nisi 2. quarta. Cuius rei probabilis ratio effugit etiam Astronomos valde peritos. Atque per has Insulas quoddam rubrum mare a ...
— The Principal Navigations, Voyages, Traffiques, - and Discoveries of The English Nation, Volume 9 - Asia, Part 2 • Richard Hakluyt

... to engage deliberately and wilfully in a combat with a ship of the line, a seventy-four!—the difference in the number of guns giving no indication of the difference in the offensive qualities of the two ships, which might better be shown by a ratio of four or five to one in favor of the ship of the line. It was like matching a bull terrier against a mastiff. The men half suspected some wily manoeuvre which they could not divine; but as the moments ...
— For Love of Country - A Story of Land and Sea in the Days of the Revolution • Cyrus Townsend Brady

... lightning has often been counted and for every fifty-four oaks struck, only one beech, or birch, or maple or alder is struck. Elms are fairly dangerous, being forty to the beech's one, and pines are less so, their ratio being fifteen. Not only this, boys, but a good deal depends on the way in which a tree is struck. An oak-tree may be riven into splinters, showing the terrible resistance that it gives to the stroke. A beech-tree, usually, is killed outright, yet shows but little ...
— The Boy with the U. S. Weather Men • Francis William Rolt-Wheeler

... accuracy. It has been proved, by a recent investigation, whose details we need not follow, that the expenditure of working men's families, of similar size, in Massachusetts and in Great Britain, stand to each other in the ratio of 15 to 10. By introducing this new factor into our calculations, we find that a man who spends L60 per annum in England would spend L90, instead of L77, per annum in the States, paying American prices for subsistence, and living up to American standards. In other words, he would ...
— Scientific American Supplement, No. 481, March 21, 1885 • Various

... the question is: Is there a correct standard in comparing the relative social position of the sexes? Is it right, is it enough, to compare woman's status to man's as the value of silver is compared with that of gold, and give the ratio numerically? Such a method of calculation excludes from consideration the most important kind of value which a human being possesses; namely, the intrinsic. In view of the manifold variety of requisites ...
— Bushido, the Soul of Japan • Inazo Nitobe

... might vote "proposition accepted" or "proposition rejected." Acceptance should work the admission of the State with the Lecompton Constitution, while rejection should postpone any admission until her population reached the ratio of representation required for a member of the House. "Hence it will be argued," exclaimed Douglas, "in one portion of the Union that this is a submission of the constitution, and in another portion that ...
— Abraham Lincoln, A History, Volume 2 • John George Nicolay and John Hay

... placing her children partly in the care of others has been harshly criticized. But there is one phase of the subject that I have never seen commented upon—and that is that a mother's love for her offspring bears a certain ratio to the love she bore their father. Had Madame Guyon ever carried in her arms a love-child, I can not conceive of her allowing this child to be cared for by ...
— Little Journeys to the Homes of the Great, Vol. 2 of 14 - Little Journeys To the Homes of Famous Women • Elbert Hubbard

... times that the rate of progress in the arts and sciences proceeds in a geometrical ratio as knowledge increases, and so when we carry back our retrospect into the past, we must be prepared to find the signs of retardation augmenting in a like geometrical ratio; so that the progress of a thousand years at a remote period may correspond to that ...
— The Antiquity of Man • Charles Lyell

... poem from Sir Philip Sidney, literally, with a lock of her 'gowden hair.' Poem and lock now lie together at Wilton, both untouched of time. Or was it that Sir Philip Sidney paid for the lock with his poem? However it was, the exchange was appropriate. The ratio between the thing sold and the price given was fairly equal. And, at all times, it is far less absurd for a poet to pay for the earthly thing with his poem (thus leaving us to keep the change), than that we should think to pay him ...
— Prose Fancies • Richard Le Gallienne

... physical associations of this chapel. It is flanked with a doctor's shop and a money-lending establishment; with a savings bank and a solicitor's office. The bank nestles very complacently under its lower wing, and in the ratio of its size is a much better looking building. The text regarding the deposit of treasure in that place where neither moth nor rust operate may be well worked in the chapel; but it is rather at a discount ...
— Our Churches and Chapels • Atticus

... cupidity of other merchants east of the Missouri. When the commonest domestic cloth, manufactured wholly from cotton, brought from two to three dollars a yard at Santa Fe, and other articles at the same ratio to cost, no wonder the commerce with the far-off market appeared to those who desired to send ...
— The Old Santa Fe Trail - The Story of a Great Highway • Henry Inman

... champion, some New ratio doth seem proper, When the circulating medium Has fallen ...
— Fringilla: Some Tales In Verse • Richard Doddridge Blackmore

... that when the speed is great the work of the weight varies in almost inverse ratio to the square of the speed, and therefore ...
— Rubur the Conqueror • Jules Verne

... ipsa Ratio (says the elegant and sensible Quintilian speaking of Eloquence) tam nos juvaret, nisi quae concepissemus mente, promere etiam loquendo possemus,—ita, ut non modo orare, sed quod Pericli contigit fulgerare, ac tonare videamur. Institut. Orat. Lib. ...
— An Essay on the Lyric Poetry of the Ancients • John Ogilvie

... the figures given by Mullhall in his "Dictionary of Statistics," we have to admit that the proportion of accidents is five times greater in the United States than in the United Kingdom. The statistics collected by the Railroad Commissioners of Massachusetts, however, reduce this ratio to five to four. The safety of railway travelling differs hugely in different parts of the country. Thus Mr. E.B. Dorsey shows ("English and American Railways Compared") that the average number of miles a passenger can travel in Massachusetts without being killed ...
— The Land of Contrasts - A Briton's View of His American Kin • James Fullarton Muirhead

... Janicho, entirely peopled by Indians, who mingle little with the dwellers on the mainland, and have preserved their originality more than any we have yet seen. We were accompanied by the prefect of Pascuaro, whom the Indians fear and hate in equal ratio, and who did seem a sort of Indian Mr. Bumble; and, after a long and pleasant row, we landed at the island, where we were received by the village alcalde, a half-caste Indian, who sported a pair of bright blue merino pantaloons! I suppose to distinguish himself from his ...
— Life in Mexico • Frances Calderon de la Barca

... for the common purposes of society. I proposed, therefore, instead of this, to adopt the Dollar as our unit of account and payment, and that its divisions and subdivisions should be in the decimal ratio. I wrote some Notes on the subject, which I submitted to the consideration of the Financier. I received his answer and adherence to his general system, only agreeing to take for his unit one hundred of those he first proposed, so that a Dollar should be 14 40/100 and a crown 16 ...
— Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson - Volume I • Thomas Jefferson

... from the character of man. In a new 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 wealth are opened to him, he too often devotes his ...
— Journals Of Two Expeditions Of Discovery In North-West And Western Australia, Vol. 2 (of 2) • George Grey

... Stars of the second magnitude are 3.4 times as numerous as those of the first, those of the eighth magnitude are three times as numerous as those of the seventh, while the sixteenth magnitude stars are only 1.7 as numerous as those of the fifteenth magnitude. This steadily decreasing ratio is probably due to an actual thinning out of the stars toward the boundaries of the stellar universe, as the most exhaustive tests have failed to give any evidence of absorption of light in its passage through space. But in spite of this decrease, ...
— The New Heavens • George Ellery Hale

... One would almost venture to say that there is a kind of law according to which the more valuable a thing is the less men care to have it; or, if you like to put it into more scientific language, the attraction of an object is in the inverse ratio to its worth. Small things, transitory things, material things, everybody grasps at; and the number of graspers steadily decreases as you go up the scale in preciousness, until, when you reach the highest of all, there are the ...
— Expositions Of Holy Scripture - Volume I: St. Luke, Chaps. I to XII • Alexander Maclaren

... the departments of the territorial government during its continuance; and when any territory, north or south of said line, within such boundaries as Congress may prescribe, shall contain the population requisite for a member of Congress, according to the then federal ratio of representation of the people of the United States, it shall, if its form of government be republican, be admitted into the Union on an equal footing with the original States, with or without slavery, as the constitution of ...
— A Report of the Debates and Proceedings in the Secret Sessions of the Conference Convention • Lucius Eugene Chittenden

... enim Rationem habet natura menti datam qu, & causas rerum et consecutiones videt, & similitudines, transfert, & disiuncta coniungit, & cum prsentibus futura copulat, omnemque complectitur vit consequentis statum. b. Eademque ratio facit hominem hominum appetentem, cumque his, natura, & sermone in vsu congruentem: vt profectus caritate domesticorum ac suorum, currat longius, & se implicet, prim Ciuium, deinde omnium mortalium societati: ...
— The Schoolmaster • Roger Ascham

... 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 in ...
— Manual of Surgery Volume Second: Extremities—Head—Neck. Sixth Edition. • Alexander Miles

... Lord George Paget's Journal furnished little fresh information, since Mr. Kinglake had previously used it extensively. There is but a spark or two of new light in Sir Edward Hamley's more recent compendium. As the years roll on the number of survivors diminishes in an increasing ratio, nor does one hear of anything valuable left behind by those who fall out of the thinning ranks. The reader of the period, in default of any other authority, betakes himself to Kinglake. There are those who term Kinglake's volumes romance rather than history—or, more mildly, the romance of history. ...
— Camps, Quarters, and Casual Places • Archibald Forbes

... case. It so happens that we are frequently led in our reckonings to results which diverge widely from reality. But the fault is not the fault of mathematics; for mathematics always gives back to us exactly what we have put into it. The ratio was constant according to that supposition. The result is founded upon that supposition. If the supposition is false the result is ...
— Amusements in Mathematics • Henry Ernest Dudeney

... the conversation proceeded, the girl, who was by no means insensible to his bright eager face and well-knit figure, dividing her time in the ratio of three parts to her book and one to him. Time passed all too soon for the mate, when they were interrupted by a series of hoarse unintelligible roars proceeding from the ...
— Many Cargoes • W.W. Jacobs

... of the fourth century, when the corner-stone for our musical system was laid, until the wonderful exploration period of the fifteenth was well advanced, the masters of music were absorbed in controlling the elements of their art. Since then event has crowded upon event with rapidly increasing ratio. During the past two centuries the progress of the art has been like a tale in fairyland. We now possess a magnificent musical vocabulary, a splendid musical literature, yet so accustomed are we to grand treasure-troves we perhaps prize them no more than the meagre stores of the past ...
— For Every Music Lover - A Series of Practical Essays on Music • Aubertine Woodward Moore

... but also in the absence of any skill at all, by the general spirit of forbearance to which society has trained all those whom they are likely to meet. But boys meeting with no such forbearance or training in other boys, must sometimes be thrown upon feuds in the ratio of their own firmness, much more than in the ratio of any natural proneness to quarrel. Such a subject, however, will be best illustrated by a sketch or two of my ...
— Blackwood's Edinburgh Magazine, Vol 58, No. 357, July 1845 • Various

... an overgrown set of servants, money is never to be despised, and I find that expenditure by some infernal principle has a greater tendency to increase than income, and that when the latter increases it never does so in the ratio of the former—enough of that. How to write an article without being condensed—epigrammatical and epitomical cream-skimming that is—I know not, one has so much to say and so little space to ...
— George Borrow and His Circle - Wherein May Be Found Many Hitherto Unpublished Letters Of - Borrow And His Friends • Clement King Shorter

... the electrolyte is the ratio of its weight to the weight of an equal volume of water. Acid is heavier than water, and hence the heavier the electrolyte, the more acid it, contains, and the more nearly it is fully charged. In automobile batteries, a specific gravity of 1.300-1.280 indicates a ...
— The Automobile Storage Battery - Its Care And Repair • O. A. Witte

... would be inadequate to maintain him in a life of greater ease, while calling for greater expense. This gives the added embarrassment that we must not only change the mode of life, but must also increase the ratio of profit, if this is possible. This is possible only through a reduction of the area cultivated, the cultivation of this reduced area in a more thorough and profitable way, and the turning of farming industry into channels better adapted to ...
— Village Improvements and Farm Villages • George E. Waring

... naturally a carnivorous animal. This none but greengrocers will dispute. That he was formerly less vegetarian in his diet than at present, is clear from the fact that market-gardening increases in the ratio of civilization. So we may safely assume that at some remote period Man subsisted upon an exclusively flesh diet. Our uniform vanity has given us the human mind as the ne plus ultra of intelligence, the human face and figure as the standard of beauty. Of course we cannot deny to human fat ...
— The Fiend's Delight • Dod Grile

... animos Aquilonis. Cuncta vijs sic apta meis: ego solus ineptus. Nam mihi nescio quo mens saucia vulnere, dudum Fluctuat ancipiti pelago, dum navita proram Inualidam validus rapit huc Amor, et rapit illuc Consilijs Ratio melioribus vsa, Decusque Immortale leui diffissa Cupidinis arcu*: [* This line appears to be corrupt.] Angimur hoc dubio, et portu vexamur in ipso. Magne pharetrati nunc tu contemptor Amoris, (Id tibi Dij nomen precor haud impune remittant) Hos ...
— The Poetical Works of Edmund Spenser, Volume 5 • Edmund Spenser

... propitiate a divinity is generally in inverse ratio to its responsiveness, and the sense of discouragement produced by Osric Dane's entrance visibly increased the Lunch Club's eagerness to please her. Any lingering idea that she might consider herself under an obligation ...
— The Early Short Fiction of Edith Wharton, Part 2 (of 10) • Edith Wharton

... superficial cleverness which, together with the author's previous reputation, will insure it a certain kind of popularity; but we venture to predict that its estimation by its readers will be in the inverse ratio to their knowledge of the subject. But Mr. Mill's general reputation rests on grounds quite distinct from his performances in metaphysics; and though we could hardly name one of his writings from whose main principles we do not dissent, there is hardly ...
— The Philosophy of the Conditioned • H. L. Mansel

... which would make long hauls easy and economical. He thus built his road with the idea of keeping down the operating costs and of showing a larger margin of profit than the others. From the very start the Great Northern was noted for its low ratio of operating expenses and its comparatively long trains and heavy trainloads. It was by this method that it really ...
— The Railroad Builders - A Chronicle of the Welding of the States, Volume 38 in The - Chronicles of America Series • John Moody

... the conditions of culture in the various regions of the earth, to enable us to follow out this ingenious view in all its details. His theory is, that the time required by a plant to arrive at maturity is as the inverse ratio of the temperature; therefore, knowing the mean temperature of any place, and the number of days which a plant takes to ripen, the time required at any other point more or less elevated, can easily be ascertained. Peter Purry, a native of Switzerland, who settled in Charleston in the eighteenth ...
— The Commercial Products of the Vegetable Kingdom • P. L. Simmonds

... time in garrison duty, at the bottom of the list of all 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 ...
— The Battle of Spring Hill, Tennessee - read after the stated meeting held February 2d, 1907 • John K. Shellenberger

... do not find that dogs are chiefly kept by those who most need to be defended, but rather by the strong and by persons living in closely-settled neighborhoods. Nor do I find that people affect dogs at all in the ratio or for the sake of the protection, but for the amusement which they afford, as something to be taken care of as pets rather than ...
— Lippincott's Magazine, September, 1885 • Various

... attention to the fact that, as M. Henri Martin says, by an apparent contradiction, the fall of the Communes declared itself in inverse ratio to the progress of the Tiers Etat. By degrees, as the government became more settled from the great fiefs being absorbed by the Crown, and as parliament and other courts of appeal which emanated from the ...
— Manners, Custom and Dress During the Middle Ages and During the Renaissance Period • Paul Lacroix

... age, or of enfeebled drunkards; and when this force of the contractions of the heart and arteries is diminished, the blood is pushed on with less energy, as well as in less quantity, and thence its stimulus on their sides is diminished in a duplicate ratio. In compressions of the brain, as in apoplexy, the pulse becomes slower and fuller; for in that disease, as in natural sleep, the irritative motions of the heart and arteries are not diminished, volition alone is suspended ...
— Zoonomia, Vol. II - Or, the Laws of Organic Life • Erasmus Darwin

... them requiring momently care and watchfulness. If the cartridges could be made to last until they were old enough to fend for themselves.... If they could avoid collisions with the Hairy People.... Some day, they would be numerous enough for effective mutual protection and support; some day, the ratio of helpless children to able adults would redress itself. Until then, all that they could do would be to survive; day after day, they must ...
— Genesis • H. Beam Piper

... my line of business isn't strictly the same as you fellows'. But a thought that has often occurred to me in selling rare editions may interest you. The customer's willingness to part with his money is usually in inverse ratio to the permanent benefit he expects to ...
— The Haunted Bookshop • Christopher Morley

... high authority they are. In the promotion of national prosperity, colonization may prove a gradually efficient auxiliary; but as a remedy for present ills, its action must evidently be too slow and restricted; and even though it should be impelled to a geometrical ratio of progression, still would the prospect of effectual relief be discernible only through a vista of years. Meanwhile, time presses, and the patient might perish if condemned alone to the homoeopathic process of infinitesimal ...
— Blackwood's Edinburgh Magazine, Vol. 53, No. 331, May, 1843 • Various

... necessary result of the operation of the law of gravitation that the uppermost layer shall be the youngest and the lowest the oldest, and that the different beds shall be older at any particular point or spot in exactly the ratio of their depth from the surface. So that if they were upheaved afterwards, and you had a series of these different layers of mud, converted into sandstone, or limestone, as the case might be, you might be sure that the ...
— Lectures and Essays • T.H. Huxley

... answer would 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 me ready to answer, for I want to teach you. ...
— The Memoires of Casanova, Complete • Jacques Casanova de Seingalt

... supernova of an assistant. Make somebody a good wife some day. He wondered why she hadn't taken advantage of the situation here to snaffle a husband. A dozen women, all but two of them married, and a hundred men, was a ratio even more lopsided than the norm in the Belt. Of course with so much work to do, and with everybody conscious of the need to maintain cordial relations, sex didn't get much chance to ...
— Industrial Revolution • Poul William Anderson

... fifteenth and sixteenth centuries the number of forty-shilling freeholders was small. With the concentration of land in fewer hands, incident to the agrarian revolution of the eighteenth and early nineteenth centuries, it bore an increasingly diminutive ratio to the aggregate county population, and by 1832 the county electors comprised, as a rule, only a handful of large landed proprietors. Within the boroughs the franchise arrangements existing at the date mentioned were complicated and diverse beyond the possibility of general characterization. ...
— The Governments of Europe • Frederic Austin Ogg

... 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 time not slink past till ...
— Main Street • Sinclair Lewis

... of carbon dioxide escaping from the lungs of intoxicated persons is from thirty to fifty per cent less than normal. This shut-in carbon stifles the nervous energy, and cuts off the power that controls muscular force. This lost force is in close ratio to the retained carbon: so much perverted chemical change, so much loss of muscular power. Not only the strength but the fine delicacy of muscular action is lost, the power of nice control of the hand and fingers, as in neat ...
— A Practical Physiology • Albert F. Blaisdell

... a still more fully developed decision to brave it out, and out, and out, rather than return to ask the help of those whose hand-clasp had weakened in ratio to the dwindling of the gold ...
— Desert Love • Joan Conquest

... events in certain of the republics in and around the Caribbean Sea warned the Hispanic nations that independence was a relative condition and that it might vary in direct ratio with nearness to the United States. After 1906 this powerful northern neighbor showed an unmistakable tendency to extend its influence in various ways. Here fiscal and police control was established; there official recognition was withheld from a ...
— The Hispanic Nations of the New World - Volume 50 in The Chronicles Of America Series • William R. Shepherd

... thought rests heavily and with increasing weight on the hearts of all who love justice, liberty, and equality. The same law of inheritance that hands down the vices of ancestors, hands down their virtues also, and in a greater ratio, for good is positive, active, ever vigilant, its worshippers swim up stream against the current. Could we make all men and women feel their individual responsibility in the chain of influences that tell on all time, we could solemnize in ...
— The Arena - Volume 4, No. 21, August, 1891 • Various

... the least variation are a perfectly straight line and a circle. A perfectly straight line has obviously no variety at all, while a circle, by curving at exactly the same ratio all along, has no variation of curvature, it is of all curves the one with the least possible variety. These two lines are, therefore, two of the dullest, and are seldom used in pictures except to enhance the beauty and variety of others. And even then, subtle variations, some amount ...
— The Practice and Science Of Drawing • Harold Speed

... practical operation of the ratio for distribution adopted in the deposit bill of the last session we shall discover other features that appear equally objectionable. Let it be assumed, for the sake of argument, that the surplus moneys to be deposited with the States have been collected and belong to them in the ratio of their federal ...
— A Compilation of the Messages and Papers of the Presidents - Section 1 (of 2) of Volume 3: Andrew Jackson (Second Term) • James D. Richardson

... war, or as a part of a permanent military establishment. Montesquieu estimates that modern nations are capable of supporting, without endangering their power, a permanent military force of about one-hundredth part of their population. This ratio differs but little from that of the present military establishments of ...
— Elements of Military Art and Science • Henry Wager Halleck

... others. My opinion respecting alcohol is that it is a valuable and necessary ingredient in forming and preserving some articles of diet—yeast bread, for example, which can only be produced by fermentation—and that its value in the lighter wines, those in which it is found in, a ratio of from 5 to 10 per cent., is of the same character. It preserves for use other elements in the juice of the grape. As a stimulant, alcohol is, in my opinion, at once a deadly poison and a valuable medicine, to be ranked with belladonna, arsenic, prussic acid, and other toxical agents, ...
— Study and Stimulants • A. Arthur Reade

... in proportion to the increase of the number of opportunities afforded for gambling in the lottery, that is, in the ratio ...
— Paris As It Was and As It Is • Francis W. Blagdon

... of contemporaneous posterity. Its judgment resembles the calm, unbiased voice of future ages. It has no infusion of personal feeling; it is a serene and unimpassioned verdict, neither won by favor, nor withheld from prejudice. The admiration which comes from afar off is valuable in the direct ratio of its distance, as there is the same degree of assurance that it springs from no secondary cause, but is a spontaneous and unbought tribute. An English author might see with comparative unconcern his book upon a drawing-room table in London, but should he chance ...
— Modern Eloquence: Vol II, After-Dinner Speeches E-O • Various

... of Alabama came to be called the Black Belt because into it were gathered so many people of African descent—about 400,000—to till the soil and harvest the crops. Some say the name originated from the character of the soil. At the present time the ratio of colored people to white people varies in the different counties from two to six of the former to one of the latter. Averaging the twenty counties, the ratio is about three colored to one white, while the ratio in the State, as a whole, is about one to one. It is thus seen ...
— The American Missionary - Volume 52, No. 1, March, 1898 • Various

... avails himself of the poet's privilege and magnifies himself. He magnifies others in the same ratio, he magnifies all things. "Magnifying and applying come I," he says, "outbidding at the start the old cautious hucksters." Indeed, the character which speaks throughout "Leaves of Grass" is raised to the highest degree of personal ...
— Whitman - A Study • John Burroughs

... 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 ...
— Blackwood's Edinburgh Magazine, Volume 61, No. 378, April, 1847 • Various

... Copeland's restaurant in Tremont Row. Probably I brought some idealizing force to bear upon it, for I was not all so strange to the world as I must seem; perhaps I accounted for quality as well as quantity in my impressions of the New England metropolis, and aggrandized it in the ratio of its literary importance. It seemed to me old, even after Quebec, and very likely I credited the actual town with all the dead and gone Bostonians in my sentimental census. If I did not, it was no fault of my cicerone, who thought even more of the city he ...
— Henry James, Jr. • William Dean Howells

... chemical method given below. If the 24-hourly ammonia output reaches over 3 or 4 grams, it means that there is a good deal of acidosis—anything below this is not remarkable. More exact methods of determining the amount of acidosis are the determination of the ratio between the total urinary nitrogen and the ammonia, the quantitation of the acetone, diacetic acid and oxy-butyric acid excreted, and the carbon dioxide tension of the alveolar air. These are rather complicated for average ...
— The Starvation Treatment of Diabetes • Lewis Webb Hill

... a prey to them. No fact of religious experience is more striking than this, that the higher men rise in real goodness—the nearer they come to God, the more keen-eyed and distressed are they to detect evil in themselves. Their sense of sin seems to be in a sort of inverse ratio to their freedom from its power. And we meet with a similar fact in the natural life. The finer and more exalted the sentiment of purity and honor, the more sensitive will one be to the slightest approach to what is ...
— The Life and Letters of Elizabeth Prentiss • George L. Prentiss

... race; Europe in general having doubled its population within the last hundred years, and England nearly tripled hers within the last half century; the proportion of America being still more rapid, and the world crowding in a constantly-increasing ratio. Yet the Jews seem to stand still in this vast and general movement. The population of Judea, in its most palmy days, probably did not exceed, if it reached, four millions. The numbers who entered Palestine from the wilderness, were evidently not much more than ...
— The Book of Religions • John Hayward

... Cape Sheridan, Point Aldrich, and Cape Morris Jesup follows that at Fort Conger by respective intervals of 3-1/2, 5, 6, and 8 hours. They also show that in going northward from Fort Conger to Point Aldrich the ratio of the two principal diurnal constituents approximates more and more nearly to the theoretical ratio; that is, to the ratio between the two corresponding tidal forces. This is what one would expect to find in passing from a region possessing diurnal tides derived from ...
— The North Pole - Its Discovery in 1909 under the auspices of the Peary Arctic Club • Robert E. Peary

... continent, the duty of supplying the army with provisions necessarily devolved on the states, who were required to furnish certain specified articles for the subsistence of the troops, according to a ratio established by the federal government. These requisitions had been neglected to such a degree as to excite fears that the soldiers must be disbanded from the want ...
— The Life of George Washington, Vol. 3 (of 5) • John Marshall

... was in direct ratio to the indifference they felt for him. Amparito's father was one of those who showed most antipathy. Sometimes he invited him to go motoring, but only for politeness. Caesar used to reply to these invitations with ...
— Caesar or Nothing • Pio Baroja Baroja

... was the legal tender notes of the United States and the notes of national banks. Neither gold nor silver coin was in circulation, both being at a premium in currency. At this time silver bullion was at a premium over gold bullion, the legal ratio being sixteen to one. In other words, sixteen ounces of silver were worth, in the open market, three to five cents more than one ounce of gold. All parties in the United States were then looking forward to the time when United States notes would advance in value to par ...
— Recollections of Forty Years in the House, Senate and Cabinet - An Autobiography. • John Sherman

... taken immense interest in longevity, feeling that an active life past the age of ninety-five or a hundred, and upwards, carries with it, in evidence of right living, the force of demonstration, and more conclusively, in direct ratio to the advance of years. I firmly believe that all anomalies will ultimately admit of resolution. In this connection I could mention a number of strange and paradoxical cases for which, as yet, ...
— The Healthy Life, Vol. V, Nos. 24-28 - The Independent Health Magazine • Various

... view of the many small orchards recently set, besides the commercial orchards that are just coming into bearing. From the reports received, in reply to circulars sent out, I gather that the crop varied from nothing to 100 per cent and the quality in corresponding ratio, depending in most cases upon whether orchards were properly sprayed ...
— Trees, Fruits and Flowers of Minnesota, 1916 • Various

... her to revolve in her orbit round the earth, calculated that, 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. But it so happened that Picard shortly afterward executed more correctly ...
— History of the Conflict Between Religion and Science • John William Draper

... 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 ...
— Text Book of Biology, Part 1: Vertebrata • H. G. Wells

... Doctor 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 ...
— The Forme of Cury • Samuel Pegge

... the machine makes leeway in addition to its forward movement, and it is the ratio of one to the other which the successful pilot must work out correctly, especially when flying above clouds or when land features are unobserved. In this particular instance our boys were supplied with charts indicating the trend of all normal winds in each locality and their approximate ...
— Around the World in Ten Days • Chelsea Curtis Fraser

... some extent so it is. But certain elements enter into the constitution of all extensive accumulations of property of any kind, whether it be books, prints, medals, or coins, which inevitably swell the bulk and the cost without augmenting in anything approaching an equal ratio the solid value. Not to wander from our immediate field of inquiry and argument, the literary connoisseur, starting perhaps with a fairly modest programme, acquires almost insensibly an inclination to expand and diverge, until he becomes, instead ...
— The Book-Collector • William Carew Hazlitt

... night. Late hours in the home is a bad habit and a poor investment. It affects the health and the efficiency. One extra hour means all the difference between frayed-out nerves, exasperated dispositions and home peace and contentment. There is a certain fixed ratio between sleep and good nature that has been formulated into a law by psychology. Keep early hours and the whole complexion of life ...
— The Eugenic Marriage, Vol. 3 (of 4) - A Personal Guide to the New Science of Better Living and Better Babies • W. Grant Hague

... more than a hundred per cent. since spring, and rents and boarding are advancing in the same ratio. ...
— A Rebel War Clerk's Diary at the Confederate States Capital • John Beauchamp Jones

... 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 ...
— Ex Voto • Samuel Butler

... hits harder—we had almost said more bitterly—than does Lord Shelburne in this short sketch of his. But just as an English House of Commons loves nothing so well as a "personal explanation," so the personalities of literature have a way of attracting us in the direct ratio of their piquancy and severity. Lord Shelburne has quite a gift of killing two birds with one stone in his trenchant criticisms. He cannot crush George III.'s father without demolishing poor Lord Melcombe en passant. "The prince's life (he says) ...
— Lippincott's Magazine of Popular Literature and Science Volume 15, No. 89, May, 1875 • Various

... The ratio of marriages, we are told, keeps pace with the price of corn. On the strength of his five hundred dollars, Peter Cooper embarked on the sea of matrimony, as the village editors express it. When Peter Cooper married Sarah Bedell, it was a fortunate thing for the world. Peter ...
— Little Journeys to the Homes of the Great, Volume 11 (of 14) - Little Journeys to the Homes of Great Businessmen • Elbert Hubbard

... 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 be beautiful, ...
— The Atlantic Monthly, Vol. I., No. 3, January 1858 - A Magazine of Literature, Art, and Politics • Various



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