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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



... 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 an ...
— Edgar Allan Poe's Complete Poetical Works • Edgar Allan Poe

... tenant, and found the tradesmen were talking, over their toddy, of various events at the castle, and especially of one, the most frightful of all. It should have been forgotten by this time, for the ratio ...
— Donal Grant • George MacDonald

... ratio remains high, humanity is safe. The Boob is the last repository of the stalwart virtues. The Boob is faith, hope and charity. The Boob is the hope of conservatives, the terror of radicals and the meal ...
— Mince Pie • Christopher Darlington Morley

... counterpart, mud-spattered and weather-bleached, had taken its place. In the kitchen, Ma Graham still presided, her accumulated avoirdupois seeming to have been gathered at the expense of her lord, who in equal ratio thinner and more weazened, danced attendance as of old. Only one of the former cowboys now remained. That one, strange to say, was Grannis, the "man from nowhere," who had apparently taken root at last. Regularly on the last day of each month he ...
— Ben Blair - The Story of a Plainsman • Will Lillibridge

... class, still smaller, poorer in hydrogen, than the inner planets of the solar system. The ratio of occurrence of hydrogen-ammonia planets and these super-dense water-oxygen worlds of theirs over the entire Galaxy—and remember that they have actually conducted a survey of significant sample volumes of the Galaxy which we, without interstellar travel, cannot do—is about 3 to ...
— Youth • Isaac Asimov

... 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: vtque non sibi soli se natum meminerit, ...
— The Schoolmaster • Roger Ascham

... strength of beams and foundations.[8] As explanation for the need of the then recently organized National School Hygiene Association, he elaborated the proposition that school requirements and school environment damage child health. "Ocular defects are in direct ratio to the length of time the pupil has attended school.... A desk that is too high may easily be the indirect agent for causing scoliosis, producing myopia or astigmatism.... Physically examine school children by all means, but do not fail to ...
— Civics and Health • William H. Allen

... of man, decreasing. 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 produce young only four ...
— Contributions to the Theory of Natural Selection - A Series of Essays • Alfred Russel Wallace

... actor or the receiver; as, The child is whipping; The prisoner is trying. Introduced only to prevent ambiguity, the so-called neologism has pushed its way, and is found where the old form would not be ambiguous. As now used, the new form stands to the old in about the ratio of ...
— Higher Lessons in English • Alonzo Reed and Brainerd Kellogg

... 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 ...
— The Sceptical Chymist • Robert Boyle

... the sight of God, he becomes sacred to his fellow. The more grand and far-reaching are the divine claims, the greater is our conception of the scope and worth of being. Human rights become respected in the ratio in which human responsibility is felt. Whatever objections men may hold to Puritanism—their theory since the days of St. Augustine has constantly produced tendencies to liberty and a prevalent belief in the natural rights of man—and on account of ...
— Conflict of Northern and Southern Theories of Man and Society - Great Speech, Delivered in New York City • Henry Ward Beecher

... England were indeed particularly anti-Catholic; although it is not, perhaps, easy to give any distinct reason why they should be so, since theological disputes in general could scarce be considered as interesting to them. But zeal, amongst the lower orders at least, is often in an inverse ratio to knowledge; and sailors were not probably the less earnest and devoted Protestants, that they did not understand the controversy between the Churches. As for the merchants, they were almost necessarily ...
— Peveril of the Peak • Sir Walter Scott

... 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

... kind of argument is a very common one with statistically immoral persons, and is known as the suppression of the ratio. Before we can appreciate the fact that in five years 58 persons died after being vaccinated, we at least need to know the total number of persons who were vaccinated. If only 58 persons were vaccinated and they all died, then the mortality was 100 per cent., but if, as ...
— Popular Science Monthly Volume 86

... enemy, he could not safely be present. But as to all others, and therefore as to Romans, the rule of law held—that 'to those not coming forward and those not in existence, the same line of argument applies.' [De non apparentibus et de non existentibus eadem est ratio.] ...
— The Posthumous Works of Thomas De Quincey, Vol. II (2 vols) • Thomas De Quincey

... fellow upwards of six feet high, and thinking it necessary to sympathize in some degree in her patriotic feelings, I began to "bravo" too; but as her second shout ascended ten degrees, and kept increasing in that ratio, until it amounted to absolute frenzy, I faced to the right-about, and, before our tete-a-tete had lasted the brief space of three-quarters of a minute, I disappeared with all possible haste, her terrific yells vibrating in my astonished ears long after I ...
— Adventures in the Rifle Brigade, in the Peninsula, France, and the Netherlands - from 1809 to 1815 • Captain J. Kincaid

... development of organs is in ratio to their employment, and his indications of the reproduction in progeny of what is gained or lost in parents by the influence of circumstances, entered as a most effective force into the development of ...
— History of the Warfare of Science with Theology in Christendom • Andrew Dickson White

... the foundations of the great High Level Bridge at Newcastle, and the Border Bridge at Berwick, as well as in several other of his great works. The saving of time effected by this machine was very remarkable, the ratio being as 1 to 1800; that is, a pile could be driven in four minutes that before required twelve hours. One of the peculiar features of the invention was that of employing the pile itself as the support of the steam-hammer part of the apparatus while ...
— Industrial Biography - Iron Workers and Tool Makers • Samuel Smiles

... large the sale of a new piece will be; and he will tell you that so little does the excellence of the music contribute to its success that in general the sale of compositions in this country stands in inverse ratio to their merits. ...
— Lippincott's Magazine, Vol. 22, November, 1878 - of Popular Literature and Science • Various

... humorous and incongruous in the 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 in the ...
— Our Churches and Chapels • Atticus

... equality of suffrage established by the articles of confederation ought not to prevail in the national legislature and that an equitable ratio of representation ...
— The Journal of Negro History, Volume 3, 1918 • Various

... 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

... and here I am again, on my third visit. The journey from Genoa to Turin took, ten years ago, twenty-four hours by diligence. Now it is accomplished in four by railway. To say that this accelerated ratio of travelling represents but fairly the average of progress realized in almost all directions, within this space of time, is no mere form of speech. To whatever side I turn, my eyes are agreeably surprised by material signs of improvement. From what but yesterday was waste ...
— Atlantic Monthly, Vol. 3, No. 18, April, 1859 - [Date last updated: August 7, 2005] • Various

... numerous at the Horton Plains, the sport at length becomes monotonous from the very large proportion of the does. The usual ratio in which they were killed was one buck to eight does. I cannot at all account for this small proportion of bucks in this particular spot. At Newera Ellia they are as two or three compared with the does. The following extract of deaths, taken from my game-book ...
— The Rifle and The Hound in Ceylon • Samuel White Baker

... a C; therefore it is probably an A; therefore it is probably a B. As, in the former case, the probability increases at each step, so, in the latter, it progressively dwindles. It is measured by the probability arising from the first of the propositions, abated in the ratio of that arising from the subsequent; and the error of the conclusion amounts to the aggregate of the errors ...
— Analysis of Mr. Mill's System of Logic • William Stebbing

... that most of the rooms were but one story in height; and a reasonable estimate of the total number of rooms in the village when it was occupied would make the number not greater than 300 rooms. The ratio of rooms to inhabitants in the present pueblos would give a population for this village of about 450 persons. Zui, the largest inhabited pueblo, covering an area of about 5 acres, has a ...
— Aboriginal Remains in Verde Valley, Arizona • Cosmos Mindeleff

... of the Greek Church joined hands in a government interested in keeping the people submissive and devout. In consequence, at the time of the emancipation of the serfs, in 1861, it was estimated that not one per cent of the total population of Russia was then under instruction, and the ratio of illiteracy by the close of the nineteenth century was the highest in Europe outside of Spain, Portugal, and the ...
— THE HISTORY OF EDUCATION • ELLWOOD P. CUBBERLEY

... is surely another hint of the sublimation of the time sense during sleep. While it would be an unwarrantable assumption to suppose that the period of recuperation by sleep must be as long, or nearly as long, as the period of deprivation, the ratio between the two presents a discrepancy so great that it would seem as though this might be due to an acceleration of the ...
— Four-Dimensional Vistas • Claude Fayette Bragdon

... capital. From the year 1884 the subsidized beet-root sugar manufacturers on the continent of Europe turned out such enormous quantities of this article that the total yield of sugar exceeded the world's requirements. The consequence was that the cane-sugar manufacture declined almost at the same ratio as that of beet-root advanced, as will be ...
— The Philippine Islands • John Foreman

... Soolsby hated him; but his aversion now was more definite and violent than he had before shown, save on that night long ago when David went first to Egypt, and she had heard hard words between them in this same hut. She supposed it one of those antipathies which often grow in inverse ratio to the social position of those concerned. She ...
— The Judgment House • Gilbert Parker

... prints and white calicoes reign supreme, and look better than anything else. It is then that the poorer classes are able to dress best, the material being cheap. Winter stuffs are expensive, and to a great degree their effectiveness is in direct ratio to their cost; but during quite half of the Australian year the poor meet the rich, if not on an equality, at any rate on much fairer terms than at home with ...
— Town Life in Australia - 1883 • R. E. N. (Richard) Twopeny

... permitted to last. Railway construction has already had a considerable effect on the opening up of the country, and as the construction is extended the development of Japan will doubtless proceed in an increasing ratio. ...
— The Empire of the East • H. B. Montgomery

... thirty-one millions as now. And not only so, but the increase of our population may be expected to continue for a long time after that period as rapidly as before, because our territory will not have become full. I do not state this inconsiderately. At the same ratio of increase which we have maintained, on an average, from our first national census, in 1790, until that of 1860, we should in 1900 have a population of 103,208,415. And why may we not continue that ratio far beyond that ...
— A Compilation of the Messages and Papers of the Presidents: Lincoln - Section 1 (of 2) of Volume 6: Abraham Lincoln • Compiled by James D. Richardson

... and probably more correct, computations place Mercury third in the order of density among the members of the solar system, the earth ranking as first and Venus as second. Mercury's density is now believed to be less than the earth's in the ratio of 85 to 100. Accepting this estimate, we find that the force of gravity upon the surface of Mercury is only one third as great as upon the surface of the earth—i.e., a body weighing 300 pounds on the earth would weigh ...
— Other Worlds - Their Nature, Possibilities and Habitability in the Light of the Latest Discoveries • Garrett P. Serviss

... sodic hypobromite, its nitrogen being evolved in the gaseous state, and its carbon and hydrogen oxidized to carbonic anhydride and water respectively. The volume of free nitrogen obtained bears a direct ratio to ...
— Scientific American Supplement, No. 611, September 17, 1887 • Various

... suppose to be simple, unaccompanied by partial tones, sounding together, have vibration rates in simple ratios to each other, the air- waves set in motion do not interfere with each other, but combine into a complex but homogeneous wave. If they have to each other a complicated ratio, such as 500:504, the air- waves will not only not coalesce, but four times in the second the through of one wave will meet the crest of the other, thus making the algebraic sum zero, and producing the sensation of a momentary stoppage of the sound. When these stoppages, or beats, as they ...
— The Psychology of Beauty • Ethel D. Puffer

... table are three columns which indicate, first, the number of trials in which the right box was chosen first, column headed R; and second, the number of trials in which at least one incorrect choice occurred, column headed W. In the last column, the daily ratio of ...
— The Mental Life of Monkeys and Apes - A Study of Ideational Behavior • Robert M. Yerkes

... The ratio of increase among all the Polynesian nations is very small; and in some places as yet uncorrupted by intercourse with Europeans, the births would appear not very little to outnumber the deaths; the population in such instances remaining nearly the same for several successive generations, ...
— Typee - A Romance of the South Sea • Herman Melville

... cessat 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 ...
— The Principal Navigations, Voyages, Traffiques, and Discoveries - Vol. II • Richard Hakluyt

... 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. ...
— An Essay on the Lyric Poetry of the Ancients • John Ogilvie

... eye-piece micrometer just cover one of the divisions (1/100th of an inch) on the stage micrometer. Then it is clear that each division of the former represents 1/100 x 1/22 of an inch, or 1/2200th of an inch. For every fresh objective used, a fresh estimation of eye-piece and stage micrometer ratio is necessary. Having now got in the eye-piece micrometer a unit of measurement, it becomes a comparatively easy matter to measure ...
— The Story of the Cotton Plant • Frederick Wilkinson

... Union. In making the basis of representation the basis of taxation the framers of the Constitution intended to equalize the burdens which are necessary to support the Government, and the adoption of that ratio, while it accomplished this object, was also the means of adjusting other great topics arising out of the conflicting views respecting the political equality of the various members of the Confederacy. ...
— Complete State of the Union Addresses from 1790 to the Present • Various

... remedied the former defect by adding a little gloria, a thin, sweet wine kept in store from the preceding vendange; this was done in April or in May, when the vintage was received at headquarters. Ropiness was cured by repeated rackings and by brandying, eight gallons per pipe being the normal ratio. That distinguished connoisseur found in an old malmsey of 1859 all the aroma and lusciousness of a good liqueur; the 'London particular' of 1865 tasted remarkably soft, with a superior nose; an 1871-72, made for the Russian market, had an oily ...
— To the Gold Coast for Gold - A Personal Narrative in Two Volumes.—Vol. I • Richard F. Burton

... American desert Edenized, and from sea to sea the continent shall be occupied by more than twelve hundred million souls, may it be found that moral and religious influences were multiplied in more rapid ratio than the population. And then there shall be four doxologies coming from north, and south, and east, and west—four doxologies rolling toward each other and meeting mid-continent with such dash of holy joy that they shall ...
— Elementary Guide to Literary Criticism • F. V. N. Painter

... Presidential election of 1860 was 145,333. Mr. Lincoln's requirement of one-tenth of that number was abundantly complied with by the vote on the questions submitted to the popular decision. Small as was the ratio of avowed Union men at the time, Mr. Johnson argued with much confidence that Tennessee, freed from coercion, would adhere to the Union by a large majority of her total vote. His faith was based on the fact that when the plain ...
— Twenty Years of Congress, Volume 2 (of 2) • James Gillespie Blaine

... 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 fewest ...
— Expositions Of Holy Scripture - Volume I: St. Luke, Chaps. I to XII • Alexander Maclaren

... 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

... him the poetic faculty. Those whom we call great men, the heroes of history, are but the organs of great crises and opportunities: as Emerson has said, they are the most indebted men. In themselves they are not great; there is no ratio between their achievements and them. Our judgment is misled; we do not discriminate between the divine purpose and the human instrument. When we listen to Napoleon fretting his soul away at Elba, or to Carlyle wrangling with his wife at Chelsea, ...
— Confessions and Criticisms • Julian Hawthorne

... have a mind. If I do not ask society to live with me, they 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 ...
— Lay Morals • Robert Louis Stevenson

... theory 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

... sport, for it must be remembered that the poor cock who undergoes all this plucking and mangling is a living bird! It is doubtful whether a thought of the cruelty ever entered the mind of a New Mexican. If so, it must have been a New Mexican woman; for the humanity of these is in an inverse ratio to that of their lords. For the women it may be urged that the sport is a custom of the country; and what country is without its cruel sports? Is it rational or consistent to weep over the sufferings of Chanticleer, while we ride gaily upon the ...
— The White Chief - A Legend of Northern Mexico • Mayne Reid

... surplus revenue, after the debt shall have been paid off, should be portioned out to the different states, in proportion to their ratio of representation; which appears to be judicious, as the question of congressional power to appropriate money to road-making, &c., although of a general character, involves also the right of jurisdiction; which congress clearly has ...
— A Ramble of Six Thousand Miles through the United States of America • S. A. Ferrall

... forces a space for itself, it immediately inhabits that space entirely at the expense of neighbouring organs. When the heart dilates, the pulmonary space contracts; and when the thoracic space increases, general space diminishes in the same ratio. ...
— Surgical Anatomy • Joseph Maclise

... Gualther Archetyp in 1 Cor. v. 5 Decrevi impurum hunc tradendum ease Satanae, id est ejiciendum ex ecclesta, &c. Ratio locutionis quia extra ecclesiam Satan regnat, in ver 6, lta vero in nuit disciplinam necessariam esse, ne contagium peccandi serpat, in ver 9-11, Catalogus eorum qui debent excommunicari, ibid, Imo non sufficiunt ministri nisi publica authoritate juventur Ideo Paulus Corinthios ...
— The Works of Mr. George Gillespie (Vol. 1 of 2) • George Gillespie

... thought to the spiritual needs of the one as the other. She had been brought up to believe that the best things in life are to be had for money, and that earthly happiness or unhappiness falls in exact ratio with the possession or non-possession of money. She met the growing demands of her family as well as she could, and practised all sorts of harassing private economies so that, in the eyes of the world, the family might ...
— The Rich Mrs. Burgoyne • Kathleen Norris

... succeeded so well that I felt abasourdi, as the French express it; indeed, I could say "Je n'aurais jamais cru etre si fort savant." My success went on in an increasing ratio: it passed from the papers and from the masculine half to the feminine half of society; it found its way to the studios and the stage. I became the vade-mecum of every prima-donna and tenor, the hidden treat of school-girls; I penetrated between the pillow and the mattress ...
— Library Of The World's Best Literature, Ancient And Modern, Vol 3 • Various

... 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 exaltation. To it nothing is trivial, nothing ...
— Whitman - A Study • John Burroughs

... our money to establish a standing army over us & an host of pensioners and placemen civil & ecclesiastical, which are as terrible as an Army of Soldiers. And if the Commons of this province cannot impeach, we have nothing to rely upon but the Interposition of our friends in Britain, or the ultima Ratio. ...
— The Writings of Samuel Adams, volume II (1770 - 1773) - collected and edited by Harry Alonso Cushing • Samuel Adams

... in the same degree less apt for exertion. That which stretches our thinking power and invites to abstract conceptions strengthens our mind for every kind of resistance, but hardens it also in the same proportion, and deprives us of susceptibility in the same ratio that it helps us to greater mental activity. For this very reason, one as well as the other brings us at length to exhaustion, because matter cannot long do without the shaping, constructive force, and the force cannot do without the ...
— The Works of Frederich Schiller in English • Frederich Schiller

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

... University of Cambridge accorded the honour of an honorary degree in 1893, has written but one opera, 'Mefistofele,' but his influence upon modern Italian music must be measured in inverse ratio to his productive power. When 'Mefistofele' was originally produced in 1868, Verdi's genius was still in the chrysalis stage, and the novelty and force of Boito's music made 'Mefistofele,' even in its fall—for the first ...
— The Opera - A Sketch of the Development of Opera. With full Descriptions - of all Works in the Modern Repertory • R.A. Streatfeild

... tries to escape, when she can afford it, by adopting the apparently simple expedient of paying other people to perform these necessary and unnecessary household duties, but this expedient fails; the "social duties" increase in the same ratio as the servants increase and the task of overseeing these latter itself proves formidable. It is quite impossible for any person under these conditions to lead a reasonable and wholesome human life. A healthy life is more difficult to attain for the woman of the ...
— The Task of Social Hygiene • Havelock Ellis

... a pregnant fact, with regard to the masses, that only so far as they can be made to feel the connection of things with the Absolute, can they be induced to appreciate them. For instance, tell them that the stars attract in the direct ratio of their masses, in inverse ratio to the squares of the distance, and they may almost fail to understand you; but tell them, in the words of the Divine Book, so marvellously adapted to their comprehension, that 'the stars declare the glory of God,' ...
— The Continental Monthly, Vol. 4, No. 5, November, 1863 • Various

... by a general summary from carefully prepared tables, comprising a large mass of statistics, collected from all parts of the world, and embracing the records of the treatment of some 300,000 cases of disease. We find that the ratio of mortality between Hom[oe]opathic and Allopathic treatment, omitting the ...
— Allopathy and Homoeopathy Before the Judgement of Common Sense! • Frederick Hiller

... their second home, and may perhaps have abandoned comfort in England in hopes of affluence there. So great is the number actually leaving the place every year, that it is calculated that in six years, at the same ratio, there ...
— Discoveries in Australia, Volume 2 • John Lort Stokes

... called a naturalized blind person, that is, one able to see things from the blind point of view; though he is never in the favorable position of a blind teacher who can say to a child, 'do it so; I can do it—I am blind like you.'" In the residential schools Dr. Illingworth recommends that the ratio of blind teachers to seeing should be one to two. He says, "their very presence is a continual inspiration and incentive to the pupils," and he adds, "the education of blind children in those subjects in which the methods of instruction are necessarily and essentially totally different from those ...
— Five Lectures on Blindness • Kate M. Foley

... leave no doubt of the accuracy of M. Duter's view, that the glass of the jar really expands. According to the theory of elasticity, the effect of an internal pressure in a hollow sphere is in the inverse ratio of its thickness. M. Duter, therefore, had three flasks made of the same volume, but of thicknesses of 4 mm., 0.8 mm., and 0.5 mm. respectively. They were filled with water and enveloped by tin foil. Each carried a capillary thermometer ...
— Scientific American, Volume 40, No. 13, March 29, 1879 • Various

... that the pyramid of the social edifice seems to be reconstructed in such fashion that the foundation stones are carried to the apex, and the swiftness of this transfer is increasing in a sort of geometrical ratio. I see that the result of this is something like that which would take place in an ant-heap if the community of ants were to lose their sense of the common law, if some ants were to begin to draw the products of labor from the bottom to the top of the heap, and should ...
— The Moscow Census - From "What to do?" • Lyof N. Tolstoi

... Berbera. Berbera during the fair time is undoubtedly the cheapest place to purchase camels in of all the coast-line, and the farther you leave it the more expensive animals become, increasing in price at the same ratio as the extent of distance. Whilst halting here I heard of the existence of the Victoria N'yanza. The Somali described its dimensions as equal in extent to the Gulf of Aden, and further alluded to its being navigated by white men. None ...
— What Led To The Discovery of the Source Of The Nile • John Hanning Speke

... more widely spread, are the large family of mosquitoes. The anopheles, small, grey and quietly persistent, carries the malaria that has laid our army low. Culex, larger and more noisy, trumpets his presence in the night watches: but the mischief he causes is in inverse ratio to the noise he makes. Stegomyia, host of the spirium of yellow fever, is also here, but happily not yet infected; not yet, but it may be only a question of time before yellow fever is brought along the railways or caravan routes from the Congo or the ...
— Sketches of the East Africa Campaign • Robert Valentine Dolbey

... they have always this peculiarity, that they spring from a triangular base, are spiral in form, and lateral, at the side of the head, in situation. The fleece of the sheep is of two sorts, either short and harsh, or soft and woolly; the wool always preponderating in an exact ratio to the care, attention, and amount of domestication bestowed on the animal. The generic peculiarities of the sheep are the triangular and spiral form of the horns, always larger in the male when present, but absent in the most cultivated species; having ...
— The Book of Household Management • Mrs. Isabella Beeton

... is so small that the cost of the food, the cost of time in preparation, could be reduced to a startling fraction if the need could be actually known, and the pleasures of the palate increased by an inverse ratio. There is no redemption for women on the earth who have the care of kitchens except through simpler, smaller meals—meals so very far apart that there shall be a maximum of the hunger-sense of relish and the resulting maximum of power to convert ...
— The No Breakfast Plan and the Fasting-Cure • Edward Hooker Dewey

... weighed upon the other hand, are the facts, first, that the line was of 6-feet gage, and, pro tanto, so much the worse for traction; secondly, that the wheels were comparatively small, and the inside journals of comparatively large diameter, the ratio of the former to the latter being as 7 to 1, instead of 12 to 1 as on English lines. It is difficult to believe that the length and steadiness of the double bogie goods wagons, scarcely liable as they are to lateral vibrations, had ...
— Scientific American, Vol.22, No. 1, January 1, 1870 • Various

... in aversos transversosque impetum darent, ad subsidiarios signa convertit, si eos loco depulisset, {15} haud dubius facilem in aequo campi tantum superanti multitudine victoriam fore; adeo non fortuna modo sed ratio etiam cum barbaris stabat. In altera acie nihil simile Romanis, non apud duces, non apud milites erat. Pavor fugaque occupaverat animos et {20} tanta omnium oblivio, ut multo maior pars Veios, in hostium urbem, cum Tiberis arceret, quam recto itinere ...
— Helps to Latin Translation at Sight • Edmund Luce

... Obviously, if the gold in a gold dollar exceeds the value of the silver in a silver dollar on the open market, men will hoard gold money and leave silver money in circulation. When, for example, Congress in 1792 fixed the ratio of the two metals at one to fifteen—one ounce of gold declared worth fifteen of silver—it was soon found that gold had been undervalued. When again in 1834 the ratio was put at one to sixteen, it was found that silver was undervalued. Consequently the latter metal ...
— History of the United States • Charles A. Beard and Mary R. Beard

... to the frame of age, 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 mouldering ...
— The Continental Monthly, Vol III, Issue VI, June, 1863 - Devoted to Literature and National Policy • Various

... 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 ...
— Modern Eloquence: Vol II, After-Dinner Speeches E-O • Various

... broadens with advancing culture, and people are able to appropriate to themselves more of the various forms of art, the artist himself attains to greater power, his abilities increase in direct ratio with the progress in culture made by the people and their ability to comprehend him. When one side or phase of an art comes to be received, new and more difficult problems are invariably presented, the elucidation of which can ...
— Beethoven • George Alexander Fischer

... history of night fighting shows that in most cases defeat is due to disorganization through panic. It is said that in daylight the moral is to the physical as three is to one. That being the case, it is hard to say what the ratio is at night, when a general atmosphere of mystery, uncertainty and fear of surprise envelops the operations, and, of necessity affects the nerves of the men. The vital importance, therefore, of accustoming troops as ...
— Manual of Military Training - Second, Revised Edition • James A. Moss

... but the same thing must occur with a bimetallic standard unless the metals can be placed and kept in a state of exact equilibrium, or so that nothing can be gained by the exchange of one for the other. Hitherto this has been an unattainable perfection. A law fixing the ratio of 16 of silver to 1 of gold, as proposed by different members of the Commission, would now be a gross over-valuation of silver and wholly exclude gold from circulation. It will hardly be disputed that the two metals cannot circulate together ...
— American Eloquence, Volume IV. (of 4) - Studies In American Political History (1897) • Various

... functions, loss of memory, pulmonary consumption and death. One of the most eminent of living physiologists has asserted that 'development of the individual and the reproduction of the species stand in a reverse ratio to each other,' and that 'the highest degree of bodily rigor is inconsistent with more than a very modest indulgence ...
— The Physical Life of Woman: - Advice to the Maiden, Wife and Mother • Dr. George H Napheys

... reading and writing, "comes by nature." His work has a 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, ...
— The Philosophy of the Conditioned • H. L. Mansel

... 1904, the Commission wrote to the Exposition Company, pointing out that for the first seven days of the exposition, with the exception of the opening day, the number of free admissions compared with paid admissions was in the ratio of 7 to 6. On several subsequent occasions the Commission insisted that prompt action should be taken to check ...
— Final Report of the Louisiana Purchase Exposition Commission • Louisiana Purchase Exposition Commission

... a very dark question to his own judgment, and not much illuminated by any of the masters in casuistry whom he has consulted on the occasion. On the one hand it seems generally agreed that a promise is binding in the inverse ratio of the numbers to whom it is made; for which reason it is that we see many persons break promises without scruple that are made to a whole nation, who keep their faith religiously in all private engagements, breaches of promise towards the stronger party being committed at a man's ...
— Confessions of an English Opium-Eater • Thomas De Quincey

... The relative averages of wheat, rye, and barley make a still worse showing for ancient times while fresh fish was nearly as high in Diocletian's time as it is in our own day. The ancient and modern prices of butter and eggs stand at the ratio of one to three and one to six respectively. For the urban workman, then, in the fourth century, conditions of life must have been almost intolerable, and it is hard to understand how he managed ...
— The Common People of Ancient Rome - Studies of Roman Life and Literature • Frank Frost Abbott

... feet in length, and fifty feet in height. The buoyant power of such a machine, or the weight it would carry, supposing it inflated with gas of the same specific gravity, compared with that of the model, would be as the cubes of their respective diameters; or in, about, the ratio of 420 to one. Such a Balloon, therefore, so inflated, would carry a weight of about 8700 pounds, or above three tons and three quarters. As, however, it would be very expensive to inflate such a vessel ...
— A Project for Flying - In Earnest at Last! • Robert Hardley

... 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

... housekeeping; that its causes can all be reduced to sex incompatibility. All these factors: undoubtedly have their bearing on the problem, but there is no one cause or group of causes underlying breakdowns in family morale. The ratio of desertions has been observed to decrease rather than to increase in "hard times";[8] moreover, it is a matter of common observation that not all slovenly and incompetent wives are deserted, and ...
— Broken Homes - A Study of Family Desertion and its Social Treatment • Joanna C. Colcord

... describing, about the point B, a circle which cuts the radii AB, BC. For the perpendiculars AD, CE, let fall from the points of intersection upon the straight line DE, which are called the Sines of the angles ABD, CBE, have a certain ratio between themselves; which ratio is always the same for all inclinations of the incident ray, at least for a given transparent body. This ratio is, in glass, very nearly as 3 to 2; and in water very nearly as 4 to 3; and is likewise ...
— Treatise on Light • Christiaan Huygens

... decrease in numbers of 8,282, or a decrease of eight-tenths of one per cent. In 47 of the 60 counties there was also a decrease in its number of Negroes. Statistics further show that this decrease in the Negro population was largely among the males and accounts for the change in the sex ratio of the total population of Alabama. The white population during this decade increased by 17.8 per cent. Yet the cities of Alabama did not thus fare. In Birmingham the increase in the white population during the decade between 1910 and 1920 was 28,193, or 35.1 per cent, while ...
— The Journal of Negro History, Volume 6, 1921 • Various

... Defence of the Realm Act, forbidding the unauthorised sale and possession of cocaine and other poisons, did little to diminish the illicit traffic. Such contrabrand dealing is immensely lucrative, and prices rise in direct ratio with the danger. But the new Bill may contain a clause vesting in the State the formulae and the manufacture of all newly-discovered drugs of this kind. The Government is relying in this matter greatly upon the experience and advice of Sir Randal, ...
— Ambrotox and Limping Dick • Oliver Fleming

... any of the speculations of trade, its increase is in proportion to its amount. Great capitalists become like pikes in a fish-pond who devour the weaker fish; and it is but too certain, that the poverty of one part of the people seems to increase in the same ratio as the riches of another. There are examples of this in history. In Portugal, when the high tide of wealth flowed in from the conquests in Africa and the East, the effect of that great influx was not more visible in the augmented splendour of the court, and the luxury ...
— Critical and Historical Essays Volume 2 • Thomas Babington Macaulay

... question of neighborhood, which is important. Beware of a place too near a small factory settlement. The latter is apt to grow and destroy the peace you have come so far to get. Besides, your property value will decline in direct ratio. We once knew a charming place set high on a hill with neat hedges, shrubs, and arbors reminiscent of England, birthplace of the man who built and developed it. The family that bought the property forgot to look down at the foot of the hill. If they had, they would have seen ...
— If You're Going to Live in the Country • Thomas H. Ormsbee and Richmond Huntley

... and delightful social life—than they were fifty or even twenty-five years ago. But it is a question whether the joy of intellectual work has kept pace with this joy of life in its other aspects. Sometimes it almost seems as if intellectual eagerness were in inverse ratio to the ease and fullness of the opportunities we have. At least many fair-minded girls have seen the predicament in which the teacher is placed. The man who makes a vase for the use and pleasure of others may rejoice not only in his own workmanship but also in the thought of the service ...
— A Girl's Student Days and After • Jeannette Marks

... court. As to wages, it is generally admitted that they have not increased more than the cost of living. A careful investigation by Mr. von Dalezman, the Registrar-General, shows that, while the average wages increased from 1895 to 1907 in the ratio of 84.8 to 104.9, the cost of food increased in the ratio of 84.3 to 103.3. No calculation was attempted for clothing or rent." If we take it into account that rents have risen very rapidly and are especially complained ...
— Socialism As It Is - A Survey of The World-Wide Revolutionary Movement • William English Walling

... the highest but not of the most constant excellence. He knows very little of the human heart who imagines we cannot do a good action; but, alas! he knows still less of it who supposes we can be always doing good actions. In exactly the same ratio we see every day the greatest crimes are committed; but we find no wretch so depraved as to be always committing crimes. Man cannot be perfect even ...
— The Disowned, Complete • Edward Bulwer-Lytton

... by means of corresponding punishment. We might reply that no human judge 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 in the case of ...
— The Positive School of Criminology - Three Lectures Given at the University of Naples, Italy on April 22, 23 and 24, 1901 • Enrico Ferri

... vanquished—suppress the right of meetings—make stern and terrible examples against insurgents—and, in a word, quell by the moral constraint of law those whom it would be difficult to control merely by, physical force;—the rigidity of the law being in ratio to the deficiency of the force. In times semi-civilized, and even comparatively enlightened, conquerors have little respect for the conquered—an immense and insurmountable distinction is at once made between the natives ...
— Athens: Its Rise and Fall, Complete • Edward Bulwer-Lytton

... a thousand dollars only made him less careful of his money. Before, he lived as freely as if his income had been one-third above what it was; now, he increased his expenses in a like ratio. It was a pleasure to him to spend his money—not for himself alone, ...
— Words for the Wise • T. S. Arthur

... about to carry out the promise made to you at our parting. I have my mercantile enterprise in a forward state of readiness for a start over the plains. My caravan will not be a large one, about six or seven waggons with less than a score of men; but the goods I take are valuable in an inverse ratio to their bulk— designed for the 'ricos' of your country. I intend taking departure from the frontier town of Van Buren, in the State of Arkansas, and shall go by a new route lately discovered by one of our prairie traders, that leads part way along the Canadian river, by you called ...
— The Lone Ranche • Captain Mayne Reid

... 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 action, we would extend the length of fork (say) to the point ...
— Watch and Clock Escapements • Anonymous

... great calamity which occurred along the St. Lawrence and its tributaries, in 1847, was to reduce the immigration to Canada to insignificant numbers, and, proportionately increase that to the United States in a quadruple ratio. Massachusetts and Connecticut, in New England, and the great States of New York and Pennsylvania, were now the chief places of resort for the new-comers; and from New York, principally, they began to pour, in a long, steady stream, away by the Erie Canal, westward ...
— Irish Race in the Past and the Present • Aug. J. Thebaud

... your colony from the mother country in the ratio of your prosperity, until your power is respected, and there is a necessity for the extension of your territory. When you are feared you will be on your mettle. They will favour you with provocation. I should not doubt the result, supposing myself to have under my sole ...
— The Shaving of Shagpat • George Meredith

... numbered about 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 of at least three hundred millions of dollars. The power of agricultural production in the ...
— Twenty Years of Congress, Vol. 1 (of 2) • James Gillespie Blaine

... elements in the existence of the Coketown working-people had been for scores of years, deliberately set at nought? That there was any Fancy in them demanding to be brought into healthy existence instead of struggling on in convulsions? That exactly in the ratio as they worked long and monotonously, the craving grew within them for some physical relief - some relaxation, encouraging good humour and good spirits, and giving them a vent - some recognized holiday, though it were but for an honest dance to a stirring band of music - some occasional light pie ...
— Hard Times • Charles Dickens*

... Kingdom, the number of owners and the acreage and value of their holdings. Two of them dealt with the number and value of the houses which had been annually built during the past ten or fifteen years. Two of them dealt with coal-mining and the ratio in that industry of wages to net profits. Each was a digest of elaborate official figures, which an average speaker, if left to his own devices, could hardly have collected in a twelvemonth, but which when thus tabulated he could master in ...
— Memoirs of Life and Literature • W. H. Mallock

... blink at the stars. In dirty upper casements, here and there, hazy little patches of candlelight reveal where some wise draughtsman and conveyancer yet toils for the entanglement of real estate in meshes of sheep-skin, in the average ratio of about a dozen of sheep to an acre of land. Over which bee-like industry these benefactors of their species linger yet, though office-hours be past, that they may give, for every day, some good ...
— Bleak House • Charles Dickens

... full of awe at his employer, being a simple sort, and this was his second place, his first having been with the salt of the earth who made no such show as Carroll. He reasoned that virtue and appearances must increase according to the same ratio. "Mrs. Carroll sent me to the school this noon," said the man, further, "and the ladies are very much worried. The young ladies and Marie are out trying to find him." Marie was ...
— The Debtor - A Novel • Mary E. Wilkins Freeman

... childhood. From birth onwards the ovaries gradually increase in size, but the growth is disproportionate in different diameters. Thus, for instance, during the eighth year of life, growth is chiefly in thickness, so that the ratio between the length and the thickness becomes less than before. The structure of the ovaries also varies at different ages. In a girl of three years, the primitive ovarian follicles number about 400,000; at the age of eight it is estimated that their number has been reduced to about 36,000. Certainly ...
— The Sexual Life of the Child • Albert Moll

... subject what it may, if those ideas are of any use to him, by what principle would one idea more, or two, or twenty, be of no use to him? Of no use!—when all the thinking world knows, that every additional clear idea of a subject is valuable by a ratio of progress greater than that of the mere numerical increase, and that by a large addition of ideas a man triples the value of those with which he began. He has read a small meagre tract on the subject, or perhaps ...
— An Essay on the Evils of Popular Ignorance • John Foster

... begrimed person and face, and I followed her up the narrow stairs with an odd, homesick sinking of the heart, seized by a momentary pang of that "nostalgia of the pavement," felt oftener by the poor than rich dwellers of the city, in exile. Perhaps I loved New York in an inverse ratio to what I had suffered in it. All the miseries of hope deferred, unremitting labor, and unnumbered petty cares attendant upon a straightened income, were forgotten, and I yearned for its ugly, midsummer glare, even its unsavory odors, and my stifling ...
— A Village Ophelia and Other Stories • Anne Reeve Aldrich

... quantity to be given to the work of production. The earth is the sole producer, says Mr. Carey, and man merely fashions and exchanges her products, adding nothing to the quantity to be converted or exchanged, and the growth of wealth everywhere is shown to be in the ratio of the quantity of labor that can be given to the cultivation of the great machine bestowed on man for the production of food and wool. This leads to an examination of the British system, the object ...
— The International Magazine, Volume 2, No. 3, February, 1851 • Various

... 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 ...
— 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.

... resistance is imperceptible; but as we increase the velocity, we find the difficulty to increase very rapidly, and if we try to strike a quick blow through the water, we find the resistance so enormous that the effort is almost paralyzed. Mathematically, the resistance increases in the ratio of the square of the velocity; and although the air is of course more easily displaced than water, the same rule applies to it, and the flight of a ball is so inconceivably rapid that the resistance becomes enormous. The average initial velocity of a cannon- or rifle-ball is sixteen ...
— Atlantic Monthly, Volume 10, Number 59, September, 1862 • Various

... very materially reduce the estimate, while the increased average duration of human life known to have already resulted from the scientific and hygienic improvements of the past fifty years will tend to keep up through the next fifty, or perhaps hundred, the same ratio of growth which has been thus revealed in our past progress; and to the influence of these causes may be added the influx of laboring masses from eastern Asia to the Pacific side of our possessions, together with the probable accession of the populations ...
— A Compilation of the Messages and Papers of the Presidents - Section 3 (of 4) of Volume 5: Franklin Pierce • James D. Richardson

... contested constituencies affected the uncontested constituencies also, and therefore, in estimating the number of voters in an uncontested constituency, I have assumed that the strength of each party varied from one election to another in the same ratio as in the contested constituencies in the same county."—P. R. Pamphlet, No. 14. Recent ...
— Proportional Representation - A Study in Methods of Election • John H. Humphreys

... it appears to me that there are only two ways in which it could be made to produce flight. Firstly, on the principle that the resistance in a fluid, and I believe also in air, increases in a greater ratio than the velocity (? as the square), the descending stroke might be more rapid than the ascending one, and the resultant would be an upward or forward motion. Secondly, some kind of furling or feathering by a rotatory motion of the wing might take ...
— Alfred Russel Wallace: Letters and Reminiscences Vol 2 (of 2) • James Marchant

... the light afforded by Mr Moffat's people, they stood in a slightly different ratio to ...
— Doctor Thorne • Anthony Trollope

... showing of those who affirm them to be illusory, are by no means hallucinations having no real object as their correlative, but merely illusions in the narrow sense, and illusions, moreover, in which the ratio of truth to error seems to be ...
— Illusions - A Psychological Study • James Sully

... on our part for carelessness in driving brought from the muleteer a burst of Turkish profanity that made the rocks of Ararat resound with indignant echoes. The spirit of insubordination seemed to be increasing in direct ratio with the ...
— Across Asia on a Bicycle • Thomas Gaskell Allen and William Lewis Sachtleben

... avoirdupois in pounds and ounces. But 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 for making each ...
— Bushido, the Soul of Japan • Inazo Nitobe

... Trumpeter—is rare upon the Atlantic coast, where the common swan is seen in greatest plenty. Again, the Trumpeter does not appear on the Pacific or by the Colombia River, where the common swan is met with, but the latter is there outnumbered by the small species (Cygnus Bewickii) in the ratio of five to one. This last again is not known in the fur countries of the interior, where the Cygnus Americanus is found, but where the Trumpeter exists in greatest numbers. Indeed the skins of the Trumpeter are those which are mostly exported by the Hudson's Bay Company, and which form an ...
— The Hunters' Feast - Conversations Around the Camp Fire • Mayne Reid

... first ed. of his famous Essay on Population appeared, and in 1803 a second greatly enlarged. Its leading proposition, supported by much learning, is that while population increases approximately in a geometrical ratio, the means of subsistence do so in an arithmetical ratio only, which, of course, opened up an appalling prospect for the race. It necessarily failed to take into account the then undreamed-of developments ...
— A Short Biographical Dictionary of English Literature • John W. Cousin

... means of transmitting action around a right angle. As for the windlass and hodometer, they do, it is true, contain whole series of gears used in steps as a reduction mechanism, usually for an extraordinarily high ratio, but here the technical details are so etherial that one must doubt whether such devices were actually realized in practice. Thus Vitruvius writes of a wheel 4 feet in diameter and having 400 teeth being turned by a 1-toothed pinion on a cart ...
— On the Origin of Clockwork, Perpetual Motion Devices, and the Compass • Derek J. de Solla Price

... smaller quantity in the former. The price of cotton-yarn was 8s. 9d. per lb. in 1801, and only 2s. 11d. in 1832, owing to improved machinery. Such examples might be multiplied, and would increase in accelerated ratio in times of increased prosperity. Other compensations would not be wanting. If the actual income of an annuitant should be lowered, his taxes would be lightened, his poor-rates perhaps abolished, his sons and daughters able to find openings in every direction. He would not be called on for ...
— Chambers's Edinburgh Journal, No. 449 - Volume 18, New Series, August 7, 1852 • Various

... village of 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

... cylinders of oxygen, under fairly high 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 ...
— The Journal of Submarine Commander von Forstner • Georg-Guenther von Forstner

... they think, for the majority do not know, of the enormous loss of life entailed in purveying this luxury for the market. An elephant is a long-lived beast; it is difficult to say what is the extent of its individual existence; at fifty years it is in its prime, and its reproduction is in ratio slower than animals of shorter life, yet what countless herds must there be in Central Africa when we consider that the annual requirements of Sheffield alone are reported to be upwards of 46,000 tusks, which represent 23,000 elephants a ...
— Natural History of the Mammalia of India and Ceylon • Robert A. Sterndale

... 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

... well be raised in temperature by the heat of a portion of steam introduced into it from one of the steam receivers, the decrease of the coal necessary to generate steam from the water of the higher temperature bears a greater ratio to the coal required without feed heating than the power which would be developed in the cylinder by that portion of steam would bear to the whole power developed when passing all the steam through all the cylinders. The temperature of the feed is ...
— Scientific American Supplement, No. 821, Sep. 26, 1891 • Various

... 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 legal representatives, and he acknowledged that they ...
— The History of England in Three Volumes, Vol.III. - From George III. to Victoria • E. Farr and E. H. Nolan

... may have been misled by their own ill-regulated imaginations, to obtrude upon the world their crude and imperfect theories and systems, to the manifest retardation of knowledge:—an effect, too, liable to be induced in a direct ratio with the degree of talent and ingenuity by which their views may have been supported. Several of these may always be more successfully attacked by ridicule than by reason; inasmuch as they are, in this way, more likely to become the subjects of popular animadversion; ...
— A Voyage to the Moon • George Tucker

... Francisco, stronger cause for a Vigilance Committee than there was in 1856. The administration of the law was better then in general criminal procedure than it is now. There were fewer heinous crimes then, in the ratio of population, then the record of any year for the past ten years will show. In the category of crimes, such as forgery, perjury, embezzlement, frauds by which large sums of money or valuable property is obtained, ...
— The Vigilance Committee of '56 • James O'Meara

... to America because he had received word that Fanny Osbourne was very ill. Half a world divided them, but attraction to lovers is in inverse ratio to the square of the distance. ...
— Little Journeys to the Homes of the Great, Vol. 13 - Little Journeys to the Homes of Great Lovers • Elbert Hubbard

... speculation for a publisher. Your work will sell or it will not sell; and therein, for them, lies the whole question. A book means so much capital to risk, and the better the book, the less likely it is to sell. A man of talent rises above the level of ordinary heads; his success varies in direct ratio with the time required for his work to be appreciated. And no publisher wants to wait. To-day's book must be sold by to-morrow. Acting on this system, publishers and booksellers do not care to take real ...
— Lost Illusions • Honore De Balzac

... possess an immense advantage over the buyer, which is mostly in the extreme improbability of a prize of any considerable amount being drawn. The numbers 1 to 78 are capable of making 76076 combinations on what I may term the increasing ratio—that is, the second larger than the first, and the third larger than the second, in arithmetical progression; as, 5, ...
— Secret Band of Brothers • Jonathan Harrington Green

... wholly different kinds of story which are equally necessary for children, I believe, and which ought to be given in about the proportion of one to three, in favor of the second kind; I make the ratio uneven because the first kind is ...
— Stories to Tell to Children • Sara Cone Bryant

... profitable on well located lines. Labor-saving inventions will increase, and roads will be built and operated more cheaply. Lines will be located with lower grades, lighter curvature and more directness. Business will increase largely, and the ratio of expenses will decrease. Steel will be improved in quality and will be substituted for iron. A heavier rail and more permanent roadway will be used. Rates of interest will rule lower, and there will be much more economy in superintending. Extravagant ...
— The Railroad Question - A historical and practical treatise on railroads, and - remedies for their abuses • William Larrabee

... when the numbers tendered by any State permitted it, into brigades and divisions composed of the regiments, battalions, or companies of such State, and to assign general and staff officers in the ratio of the troops thus received. After my return to the capital, the importance of the subject weighed so heavily upon me as to lead to correspondence with the generals, which will be best understood by the following extracts from my letters to ...
— The Rise and Fall of the Confederate Government • Jefferson Davis

... possible, that the quantity of electricity condensible on one side of a coated phial may increase in some high ratio in respect to the thinness of the glass, since the power of attraction is known to decrease as the squares of the distances, to which this circumstance of electricity seems to bear some analogy. Hence if an animal ...
— The Botanic Garden - A Poem in Two Parts. Part 1: The Economy of Vegetation • Erasmus Darwin

... had been doubly tried in the purifying fire; a State which, more than any other, has exerted, by the weight of its example, an influence to shape the political ideas of the present day, whose moral power has been, in the inverse ratio with its material importance; of which an eminent Historian of the United States has said that, had its territory 'corresponded to the importance and singularity of the principles of its early existence, the world would have been filled with wonder at ...
— The Roman Question • Edmond About

... he based his generalizations on the experiment of Snell, though he did not openly acknowledge his indebtedness. The law, as Descartes expressed it, states that the sine of the angle of incidence bears a fixed ratio to the sine of the angle of refraction for any given medium. Here, then, was another illustration of the fact that almost infinitely varied phenomena may be brought within the scope of a simple law. Once the law had been expressed, it could be tested and verified with the greatest ease; and, ...
— A History of Science, Volume 2(of 5) • Henry Smith Williams

... but as a means of obtaining rest for his mind, and especially of helping the poor. Although so generous, he was sometimes annoyed and sorry at the thought of having ill-spent his money, because he had in the same ratio diminished ...
— My Recollections of Lord Byron • Teresa Guiccioli

... had seen his interest dwindle 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 ...
— Wunpost • Dane Coolidge

... a remarkable fact that the ratio between the diameter and the circumference of a circle was roughly known to the ancient Hindus. The circumference is nearly, as stated here, three times and a half of the diameter. The next ratio, of course, is slightly less, ...
— The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 2 • Kisari Mohan Ganguli

... any given altitude, the ponderable quantity of air surmounted in any farther ascension is by no means in proportion to the additional height ascended (as may be plainly seen from what has been stated before), but in a ratio constantly decreasing. It is therefore evident that, ascend as high as we may, we cannot, literally speaking, arrive at a limit beyond which no atmosphere is to be found. It must exist, I argued; although it may exist in a state of ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe

... struck, and on the direction taken by the bullet. Naturally transverse wounds affect a small area; while an oblique or longitudinal direction of the track may indefinitely increase the extent of injury to the nerve trunk, and hence acquire prognostic significance in direct ratio to the amount of tissue which needs to ...
— Surgical Experiences in South Africa, 1899-1900 • George Henry Makins

... which gives rise to the query of your correspondent Indigena (p. 491),[32] may be the result of many causes, the principal of which is, however, without doubt, the interior heat of the earth. It is a well known fact, that this heat increases in a considerable ratio as we descend, making a difference of several degrees between the temperature of the earth at its surface and at depths of 500 or 600 feet; raising, of course, the temperature of all springs which have ...
— On the Old Road, Vol. 2 (of 2) - A Collection of Miscellaneous Essays and Articles on Art and Literature • John Ruskin

... vessel or its captain, and at times, when other seamen could not be procured, these slaves were allowed to make a voyage to a Northern port, but as their value yearly augmented, and the risk of their suddenly disappearing, not again to visit 'Dixie,' increased in a corresponding ratio, they gradually retired to other duties where their ...
— Continental Monthly, Vol. II. July, 1862. No. 1. • Various

... industrious and frugal, and have saved a few hundred dollars. This, on the known principles of human nature, has created a strong desire to make additions; and the desire has increased in a greater ratio than the sum. They are good workmen, perhaps, or if not, they generally think so; and those who have the least merit, generally have the most confidence in themselves. But if there be one who has merit, there ...
— The Young Man's Guide • William A. Alcott

... ultimately depend upon its reception by the foreign powers. No doubt, our abandonment of protection upon grain will be considered by them as a valuable boon; for either their agriculture will increase in a ratio corresponding to the decline of our own, which would clearly be their wisest policy, or they will transfer the system of protective duties to the other side of the seas, and establish a sliding scale on exports, which may actually prevent us from getting their grain any cheaper than ...
— Blackwoods Edinburgh Magazine, Volume 59, No. 365, March, 1846 • Various

... bayonets,—may God grant them victory!—the progress of our arms down the Mississippi; the relative value of gold and currency at Richmond and Washington. If the index-hands of force and credit continue to move in the ratio of the past two years, where will the Confederacy be in twice ...
— Pages From an Old Volume of Life - A Collection Of Essays • Oliver Wendell Holmes, Sr.

... very old and wide trail for well over two hundred yards. Taking little Third-of-an-inch for a type (although he would rank as a rather large Atta), and comparing him with a six-foot man, we reckon this trail, ant-ratio, as a full twenty-five miles. Belt records a leaf-cutter's trail half a mile long, which would mean that every ant that went out, cut his tiny bit of leaf, and returned, would traverse a distance of a hundred and sixteen miles. This was an extreme; but our Atta may take it ...
— Edge of the Jungle • William Beebe

... 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 of play, ...
— The Practice and Science Of Drawing • Harold Speed

... I. M. What's your remedy? Do you think you can make things better by fixing a ratio between gold and silver? In the first place, you can't do it; they've got nothing to ...
— Punch, or the London Charivari, Volume 103, December 17, 1892 • Various

... possible to carry out, on a carefully co-ordinated plan, recruiting and training, to supply men and material, to organize air power according to the strategic situation in each of the various theatres of war, and to form the correct ratio between the air forces in the field and the reserves in training at home. The difficulty was that the amalgamation had to be carried out during the most intensive period of air effort, but by the end of the war most of ...
— Aviation in Peace and War • Sir Frederick Hugh Sykes

... of mind of the leading Government circles in Russia, unfolded before them the far-reaching plans of Baron Hirsch. The Jewish Colonization Association was to transplant 25,000 Jews to Argentina in the course of 1892 and henceforward to increase progressively the ratio of emigrants, so that in the course of twenty-five years, 3,250,000 Jews would ...
— History of the Jews in Russia and Poland. Volume II • S.M. Dubnow

... are the questions that confront us when we speak of these Farthest North Canadians. It is an age of classification. You cannot find a flower nowadays that some one has not tacked a Latin name to, and it goes by inverse ratio—the smaller the flower the longer the name. Every bird you hear sing, even though it stop but an hour to rest its tired pinion on its northern migration, has an invisible label pinned under its coat. How ...
— The New North • Agnes Deans Cameron

... subditis Anglis inuictissima vestra Maiestas literis et diplomate suo liberalissime indulserit, facere non potuimus, quin quas maximas animus noster capere potest gratias, eo nomine ageremus: sperantes fore, vt haec instituta commerciorum ratio maximas vtilitates, et commoda vtrinque, tam in imperij vestri ditiones, quam regni nostri ...
— The Principal Navigations, Voyages, Traffiques, and Discoveries of - The English Nation, Vol. 11 • Richard Hakluyt

... mundi, the bond or copula of the world, and the "interpreter of nature": that famous expression of Bacon's really belongs to Pico. Tritum est in scholis, he says, esse hominem minorem mundum, in quo mixtum ex elementis corpus et spiritus coelestis et plantarum anima vegetalis et brutorum sensus et ratio et angelica mens et Dei similitudo conspicitur.—"It is a commonplace of the schools that man is a little world, in which we may discern a body mingled of earthy elements, and ethereal breath, and the vegetable ...
— The Renaissance - Studies in Art and Poetry • Walter Pater

... the case with 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

... largely as a social center for community life. Afternoon tea is served in it; musicals held; club papers read; even the Woman's Exchange meets and exhibits once a week. I had no means of discovering how general this movement was, nor yet of determining the ratio of emphasis laid on the social side of the work. But I want you to note one point—the movement starts with the adult and with standard works, and only by means of the adult, or through the parent, is the child reached. It is the exact ...
— Library Work with Children • Alice I. Hazeltine

... luxuries of the toilet, the ruffs, the collars, the slipper-rosettes, the embroidered belts, the hair ornaments, the chiffon scarves, all objects diverse, innumerable, perishable as mist in tree-branches, all costly in exact ratio to their fragility. Back of her were the children's dresses, fairy-like, simple with an extravagantly costly simplicity. It occurred to Sylvia as little as to many others of the crowd of half-hypnotized ...
— The Bent Twig • Dorothy Canfield

... the 14th the new constitution, or "Fundamental Statute," was proclaimed. It instituted a Legislature in two branches, the High Council and the Council of Deputies, the members of the former being appointed by the Pope, and those of the latter being chosen by popular vote in the ratio, as nearly as might be, of one to every thirty thousand souls. All citizens were voters who paid twelve crowns a year in direct taxes or had property amounting to three hundred crowns; to these were added all members of colleges and honorary graduates, and all persons holding office in the communes ...
— The Great Events by Famous Historians, Vol. 17 • Charles Francis Horne

... grip on him. Oh, no! But what most people never take into account is the fact that every drink of whiskey taken weakens the will just a little, and makes it just so much harder to refuse the next drink. So it goes on, in increasing ratio, until it becomes next to impossible for the victim to break himself of the habit. My idea is, don't monkey with a red-hot poker and you won't get hurt. If you do, no matter how careful you may be, you're apt to get hold of the ...
— Bert Wilson on the Gridiron • J. W. Duffield

... but the historian needs not much help to measure some kinds of social movement; and especially in the nineteenth century, society by common accord agreed in measuring its progress by the coal-output. The ratio of increase in the volume of coal-power may ...
— The Education of Henry Adams • Henry Adams

... experience the extremes of trepidation and of hope; to deny themselves comforts, and perhaps food, that they may pay the price which has at last, after infinite dispute, reached an irreducible minimum; and the pleasure of their possession is in the ratio of their pains. But the man who enters a sale-room with the knowledge that he can have everything he wishes by the signing of a cheque feels none of these emotions. It seems to me that money has lost more than half its value since cheques became common. When men kept their gold in ...
— The Quest of the Simple Life • William J. Dawson

... the visible; two different regions, the intelligible world and the sensible world. Now take a line divided into two equal segments to represent these two regions, and again divide each segment in the same ratio—both that of the visible and that of the intelligible species. The parts of each segment are to represent differences of clearness and indistinctness. In the visible world the parts are things and images. By ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker



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