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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



... long 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 as though ...
— He Knew He Was Right • Anthony Trollope

... manna-gift, among that small generation outside the windows. But Mr. Edward Freely was a man whose impulses were kept in due subordination: he held that the desire for sweets and pastry must only be satisfied in a direct ratio with the power of paying for them. If the smallest child in Grimworth would go to him with a halfpenny in its tiny fist, he would, after ringing the halfpenny, deliver a just equivalent in "rock." He was not a ...
— Brother Jacob • George Eliot

... million sterling. To appreciate the point of this it must be realised that the indictable offences committed in Ireland in a year are in the proportion of 18 as compared with 26 committed in Scotland, while criminal convicts are in the ratio of 13 in Ireland to 22 ...
— Ireland and the Home Rule Movement • Michael F. J. McDonnell

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

... mountain is inaccessible and made of gold. Possessed of great splendour, O Kauravya, there is a third mountain there that is called Sumida. The sixth is called Harigiri. These are the six principal mountains. The intervening spaces between one another of these six mountains increaseth in the ratio of one to two as they proceed further and further towards the north. The first Varsha is called Audhido; the second is Venumandala; the third is called Suratha; the fourth is known by the name of Kamvala; ...
— The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 2 • Kisari Mohan Ganguli

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

... excited the 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 goods there a ...
— The Old Santa Fe Trail - The Story of a Great Highway • Henry Inman

... 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 ...
— The American Missionary - Volume 52, No. 1, March, 1898 • Various

... difficulty in the way of applying his principles. If any wing were a rigid plane surface, 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 place on ...
— Alfred Russel Wallace: Letters and Reminiscences Vol 2 (of 2) • James Marchant

... 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 every thought and ...
— Journals Of Two Expeditions Of Discovery In North-West And Western Australia, Vol. 2 (of 2) • George Grey

... before his death, a gentleman from Albany, on a visit at Buffalo, being desirous of seeing the chief, sent a message to that effect. The gentleman was affluent in money and in words, the latter flowing forth with great rapidity, and in an inverse ratio to his ideas. He had also a habit of approaching very near to any person with whom he was conversing, and chattering with almost unapproachable volubility. On receiving the message, Red Jacket dressed himself with the utmost care, ...
— An account of Sa-Go-Ye-Wat-Ha - Red Jacket and his people, 1750-1830 • John Niles Hubbard

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

... image of objects above, and according to the number of rays transmitted is the perceptibility of objects below the water. Hence the visible transparency and reflective power of water are in inverse ratio. In looking down into it from above, we receive transmitted rays which exhibit either the bottom, or the objects floating in the water; or else if the water be deep and clear, we receive very few rays, and the water looks black. ...
— Modern Painters Volume I (of V) • John Ruskin

... 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

... clearness 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 ...
— The Psychology of Beauty • Ethel D. Puffer

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

... increases in proportion to its extent: as soon as it is believed to threaten our preservation, we become completely agitated; we seek after the cause with an earnestness proportioned to our alarm; our perplexity augments in a ratio equivalent to the persuasion we are under: how essentially requisite it is, we should become acquainted with the cause that has affected us in so lively a manner. As it frequently happens that our senses can teach us nothing respecting this cause which so deeply interests us—which we seek ...
— The System of Nature, Vol. 1 • Baron D'Holbach

... correspondents has increased in the direct ratio of our prosperity, the development of our resources, and the umbrage these blessings give to the enemies of democratic principles. There are very few governments that would not deem it a matter of duty to exult ...
— The Atlantic Monthly, Volume 15, No. 91, May, 1865 • Various

... nothing more than stable manure, which, it is true, supplies phosphoric acid, potash and nitrogen. We know that phosphorus forms the foundation of nerves, and too much of it provokes nerve irritation in exact ratio to the deficiency of sulphur. There should be twice as many sulphuric salts as phosphoric salts in the blood, if it is to be normal and the nerves are to be steady. Foodstuffs from fields that have been fertilized in this manner must, of course, contain ...
— Valere Aude - Dare to Be Healthy, Or, The Light of Physical Regeneration • Louis Dechmann

... of remark that in India the spirit of combination is always in the inverse ratio to the rank of the class; weakest in the highest, and strongest in the lowest class. All infringements upon the rules of the class are punished by fines. Every fine furnishes a feast at which every member sits and enjoys himself. Payment is enforced by excommunication—no ...
— Rambles and Recollections of an Indian Official • William Sleeman

... escutcheon in the centre, the arms of Ulster. Impaling, Checky, a cross, thereon five pheons' heads, pointing upwards. Harrison. Crest, on a wreath, Or and Azure, a dragon's head erased Or, vomiting fire. On a label under the arms these mottos: "Dux vitae ratio." ...
— Memoirs of Lady Fanshawe • Lady Fanshawe

... faster than consumption. "In this way only is it possible to account for the circumstances that the supply of the great articles and instrumentalities of the world's use and commerce have increased during the last twelve or fifteen years in a far greater ratio than the contemporaneous increase of the world's population or of its immediate ...
— The Evolution of Modern Capitalism - A Study of Machine Production • John Atkinson Hobson

... the agitation. Gold to be received at the mints at a ratio of 1s. 4d. per rupee. Sovereigns in payment of sums due to Government to be received at the rate of ...
— Gold, Sport, And Coffee Planting In Mysore • Robert H. Elliot

... to-day, plus twenty years of experience. The figure is still the figure of his youth, the hickory a little better seasoned, perhaps, and the steel and whalebone a little harder, but they have lost none of their spring and vitality. The ratio of promotion has also been kept up. That he should now rank as the most expert pilot on the station was quite to be expected. He could have filled as well a commander's place on the bridge, had he chosen ...
— The Underdog • F. Hopkinson Smith

... shall invite the governments of the countries composing the Latin Union, so called, and of such other European nations as he may deem advisable, to join the United States in a conference to adopt a common ratio between gold and silver for the purpose of establishing internationally the use of bimetallic money and securing fixity of relative value between ...
— A Compilation of the Messages and Papers of the Presidents - Section 3 (of 3) of Volume 8: Grover Cleveland, First Term. • Grover Cleveland

... growing visibly 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 ...
— Main Street • Sinclair Lewis

... of stubbornness that increase in direct ratio to the pressure applied. To this type Barraclough belonged. He had yet to find the man who could induce him to talk against his will. Woman? Ah, that's a different matter. The ...
— Men of Affairs • Roland Pertwee

... importance, the first was of great weight. According to all probability, it was too soon for any serious attack. Without being beautiful, she pleased much and many; a second obstacle, since sensibility in women is almost always developed in inverse ratio to their success. She had brains; she was wonderfully ...
— Gerfaut, Complete • Charles de Bernard

... need of supplying enough men to operate successfully any instrument or mechanism is absolute, for the reasons that the number of things to be done is fixed, and that an insufficient number of men in the ratio for instance of 9 to 8 may mean a falling off in the output of the machine much greater than in the ratio of 9 to 8. A simple illustration may be taken from the baseball game; for it is obvious that the output of a baseball team, in competition with other teams, ...
— The Navy as a Fighting Machine • Bradley A. Fiske

... two ago I had frequent opportunities for observing a pair of young cassowaries patiently, yet playfully, performing martial exercises. They were about the size of a full grown bustard (say, 28 lb. weight); but if their bulk had been in ratio to their lightheartedness and playfulness, they would have loomed large ...
— My Tropic Isle • E J Banfield

... commentators; and it is impossible for me to represent their diction as correct, or their instruction as liberal. Still—if I have read religious history aright—faith, hope, and charity have not always been found in a direct ratio with a sensibility to the three concords, and it is possible—thank Heaven!—to have very erroneous theories and very sublime feelings. The raw bacon which clumsy Molly spares from her own scanty store that she may carry it to her neighbour's child to "stop the fits," may be a piteously inefficacious ...
— Adam Bede • George Eliot

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

... temperature. If one pound of gas is at a temperature of 54 degrees Fahrenheit and another pound is at a temperature of 114 degrees Fahrenheit the respective volumes at a given pressure would be in the ratio of 514 ...
— Steam, Its Generation and Use • Babcock & Wilcox Co.

... the conflict between the will and the imagination, the force of the imagination is in direct ratio to ...
— Self Mastery Through Conscious Autosuggestion • Emile Coue

... 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 to be ...
— School History of North Carolina • John W. Moore

... deference. He was 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 ...
— The Debtor - A Novel • Mary E. Wilkins Freeman

... with every necessary, and clad in his right mind. Capitalists, too, and the public in general, have become wiser, and do not take fire so readily from mining sparks; while at the same time a vast amount of real work is being done, and the ratio between growth and ...
— Steep Trails • John Muir

... 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

... before you the result of the census lately taken of our inhabitants, to a conformity with which we are now to reduce the ensuing ratio of representation and taxation. You will perceive that the increase of numbers during the last ten years, proceeding in geometrical ratio, promises a duplication in little more than twenty-two years. We contemplate this rapid growth and the prospect it holds ...
— A Compilation of the Messages and Papers of the Presidents - Section 3 (of 4) of Volume 1: Thomas Jefferson • Edited by James D. Richardson

... farmers' land and family can be made at low—and owing to the competition that always arises to supply a steady and natural market—lowering prices. Moreover, the settled prices prevailing throughout the country allow of assured calculations and precautions as to business ventures, and permit such a ratio to be established between expenses and income, that at the end of the fiscal year a profit, not a loss, may be ...
— A Brief History of Panics • Clement Juglar

... hereditary character of colour blindness in connection with the fact, that it is nearly twice as prevalent among the Quakers as among the rest of the community, the proportions being as 5.9 to 3.5 per cent. [1] We might have expected an even larger ratio. Nearly every Quaker is descended on both sides solely from members of a group of men and women who segregated themselves from the rest of the world five or six generations ago; one of their strongest opinions being that the fine arts ...
— Inquiries into Human Faculty and Its Development • Francis Galton

... 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 check of cynics. If you are run over on Market Street and left groaning ...
— Mince Pie • Christopher Darlington Morley

... spots on the heavenly vault, but solids; that the moon derives her light from the sun, and that this fact explains her phases; that an eclipse of the moon happens when the earth cuts off the sun's light from her. He supposed the earth to be flat, and to float upon water. He determined the ratio of the sun's diameter to its orbit, and apparently made out the diameter correctly as half a degree. He ...
— History of Astronomy • George Forbes

... unequal wear in the surface of the glass, and ruin the defining power of the lens, which depends upon the uniformity of its curve. As the outcome of much practical experiment, combined with mathematical research, I settled upon the ratio of speed between the sheave of the lens-tool guide and the turn-table; between whose limits the practical equalization of wear (or cut of the emery) might with the greater facility be adjusted, by means of varying the stroke and eccentricity of the tool. As ...
— Men of Invention and Industry • Samuel Smiles

... anticipated at the close of the last Convention, a larger representation and an increased number of delegates; we were not deceived, the number has been tenfold. And we have a right to expect that future Conventions will be increased by a geometrical ratio, until we shall present a body not inferior in numbers to our State Legislatures, and the phenomenon of an oppressed people, deprived of the rights of citizenship, in the midst of an enlightened nation, devising plans and measures for their personal and ...
— History of the Negro Race in America from 1619 to 1880. Vol. 2 (of 2) - Negroes as Slaves, as Soldiers, and as Citizens • George Washington Williams

... riches are the result of labor. They increase in the same ratio as the result does to the effort. Absolute perfection, of which God is the type, consists in the infinite distance between these two terms in this relation, viz., effort none, ...
— What Is Free Trade? - An Adaptation of Frederic Bastiat's "Sophismes Econimiques" - Designed for the American Reader • Frederic Bastiat

... virtually eradicated in a few generations, through the universal practice of circumcision. Although apparently introduced into Europe less than four centuries ago, it has already tainted perhaps one-sixth of the total population, and it is steadily spreading; in the United States the ratio is but little better. (These percentages are merely estimates, since there are no official records of the venereal diseases except ...
— Fighting the Traffic in Young Girls - War on the White Slave Trade • Various

... storage since before the Recess, it was surprising how fresh they remained. Persia and Mesopotamia—not to mention Ireland—are still unsettled; the Turkish Treaty is not yet ratified; the cost of living continues to rise, and the ratio of unemployment has alarmingly advanced, especially in the case ...
— Punch, or the London Charivari, Volume 159, October 27, 1920 • Various

... merely a valueless automatic arrangement, for it is well understood that the second Volksraad is simply a show institution, devised in 1890. The various schemes for redistribution lead one to the conclusion that the number of members in the First Volksraad were to be in inverse ratio ...
— Boer Politics • Yves Guyot

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

... North to the South; but while this process has been going on, the number of slaves in the United States has increased more than four-fold,—from less than one to more than four millions. This is emancipation with a vengeance. In this ratio, prospective or gradual emancipation would give us, in seventy years more, 16,000,000 slaves. It will be seen that this process is not emancipation, but merely transposition, or change of locality. The very name of emancipation, thus ...
— The Right of American Slavery • True Worthy Hoit

... Launay, who computed the decline in her lover's affection by his abbreviation of their evening walk in the public square, preferring to cross it rather than take the circuit; "from which I inferred," she says, "that his passion had diminished in the ratio between the diagonal of a rectangular parallelogram and the sum of two adjacent sides." And their conception, even of art, has been too often on the scale of Properzia de Rossi, who carved sixty-five heads on a walnut, the smallest of all recorded symbols ...
— Women and the Alphabet • Thomas Wentworth Higginson

... scenes, than our own in the present and in America. But I daresay that his popularity with the mass of his countrymen would not have been in any degree lessened had he never written these few books. Indeed, it is hardly to be doubted that his books were successful in the ratio of their autobiographic nature. For the character he revealed in those books of his which are essentially autobiographic, is the character dear to the American heart; and the experiences, vicissitudes, ...
— Mark Twain • Archibald Henderson

... requirements of modern life—into the Italy of to-day, where all these things have made leaps almost incredible to those who knew her in her former state, has proved costly without example. During the whole period it has been necessary to spend in ever-increasing ratio on the army and navy, and this expenditure, though emphatically not the chief, has yet been a concomitant cause of financial trouble. The point cannot be inquired into here of how far greater wisdom and higher character in Italian public servants might have limited ...
— The Liberation of Italy • Countess Evelyn Martinengo-Cesaresco

... acre of land in Central Park, which, if not wanted for Park purposes, would not sell for at least as much as the land surrounding the Park and beyond its limits,—that is to say, for at least $60,000, the legal annual interest of which is $4,200. This would be the ratio of the annual waste of property in the case of any land not put to use; but, in elaborating the plan, care has been taken that no part of the Park should be without its special advantages, attractions, or valuable uses, and that these should as far as possible be made immediately ...
— Atlantic Monthly, Volume 7, Issue 42, April, 1861 • Various

... associate with black men does not, I think, prove that they are controlled by instinctive racial or sexual aversion but rather that women, as a whole, are, by reason of their physical inability to dispute with men the ultimate ratio of all order that lies in brute force, thoroughly amenable to the rule of social conventions imposed upon them by their jealous masters. I say this because we see that the aversion that has been inculcated from without tends to disappear wherever the man-established conventions lapse ...
— The Black Man's Place in South Africa • Peter Nielsen

... he often said in jest. He cared for it, indeed, 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

... horizon, showing that the enemy's fleet was arriving in force, steaming in line abreast, and that it outnumbered the Chinese squadron by three ships. Thus, as two of the latter were not fit to take their place in the fighting line, the ratio was about one and a half to one in favour of the Japanese, so ...
— A Chinese Command - A Story of Adventure in Eastern Seas • Harry Collingwood

... 'Multos enim, quibus loquendi ratio non desit, invenias, quos curiose potius loqui dixeris quam Latine; quomodo et illa Attica anus Theophrastum, hominem alioqui disertissimum, annotata unius affectatione verbi, hospitem dixit, nec alio se id deprehendisse interrogata respondit, quam ...
— The Complete Poetical Works of James Russell Lowell • James Lowell

... development of superior strains. One is hybridizing and the other sport development. The former is a long term project which should have institutional backing. The opportunity for the latter, that is, chance development of a superior or unique variation, is in direct ratio to the number of nut trees growing in the area. Successful farm nut growers, dotted over the region, will, therefore, increase the chance ...
— Northern Nut Growers Association Report of the Proceedings at the Thirty-Eighth Annual Meeting • Northern Nut Growers Association

... living, whether he has a shirt to his back or no,—has one surrounding him;—which said circle, by the way, whenever 'tis said that such a one is of great weight and importance in the world,—I desire may be enlarged or contracted in your worship's fancy, in a compound ratio of the station, profession, knowledge, abilities, height and depth (measuring both ways) of the ...
— The Life and Opinions of Tristram Shandy, Gentleman • Laurence Sterne

... 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 to ...
— Lippincott's Magazine, September, 1885 • Various

... found, some of them, in the Prayer Book as it is. But the revisers ought not to have altered the proportion so markedly as they have done, for whereas in our present Book the collects addressed to the Father are as eighty-three to three compared with those not so addressed, the ratio in The Book Annexed is that of ...
— A Short History of the Book of Common Prayer • William Reed Huntington

... similarity in physical traits under the same conditions. The coefficient of correlation between brothers in the color of the eye, is, according to the results obtained by Karl Pearson, .52.[1] The coefficient of fraternal correlation in the case of the cephalic index (ratio of width to length of head) is .40. The correlation of hair color is found to be .55. The fact of high correlation between resemblance of physical traits and membership in the same family is of crucial importance, because these traits are clearly due to ancestry, and not ...
— Human Traits and their Social Significance • Irwin Edman

... 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 ...
— The Automobile Storage Battery - Its Care And Repair • O. A. Witte

... me ratio arguet, Non indoles exculti clara ingenii; Sed perfidi sycophantae supercilium Absque lance, statera, ...
— Literary Remains (1) • Coleridge

... e. Had the line b d been nearer to a c, the effect would have been just the same. Now, every curve may be considered as composed of an infinite number of lines at right angles to each other, as m n is made up of o p, p q, etc., (fig. B), whose ratio to each other varies with the direction of the curve. Then, if the right lines which form the curve at c (fig. A) be increased, we have the figure c d e, that is, the apparent interruption of the curve ...
— The Poetry of Architecture • John Ruskin

... to astronomy are several, among others the determination of the mutation of the axis of the earth. He also determined the ratio of the attractive forces of the sun and moon, which he found to be about as seven to three. From this he reached the conclusion that the earth must be seventy times greater than the moon. The first two volumes of his Researches ...
— A History of Science, Volume 3(of 5) • Henry Smith Williams

... summer of 1875, a cadet was showing a young lady the various sights and wonders at West Point, when they came across an old French cannon bearing this inscription, viz., "Charles de Bourbon, Compte d'Eu, ultima ratio regum." ...
— Henry Ossian Flipper, The Colored Cadet at West Point • Henry Ossian Flipper

... companionable sentiment of cities and clans, proves a valuable succedaneum for that deeper principle which is good for all places and times. But this sentiment, like gravitation, diminishes in the ratio of the square of the distance, and at any considerable remove can no longer be reckoned upon as a counter-balance to the lawlessness of egotism. Athenians could be passably just, or at least not disastrously ...
— The Atlantic Monthly, Volume 2, Issue 12, October, 1858 • Various

... and damp cold; what is a comfortable temperature in the Antarctic and what is it compared to a comfortable temperature in England, the question of women in these temperatures...? The man with the nerves goes farthest. What is the ratio between nervous and physical energy? What is vitality? Why do some things terrify you at one time and not at others? What is this early morning courage? What is the influence of imagination? How far ...
— The Worst Journey in the World, Volumes 1 and 2 - Antarctic 1910-1913 • Apsley Cherry-Garrard

... consulted my son George, who is a mathematician. He supposes that your objection is founded on the diffused light from the lamp illuminating both sides of the object, and not being reduced, with increasing distance in the same ratio as the direct light; but he doubts whether this NECESSARY correction will account for the very little difference in the heliotropic curvature of the plants in the ...
— The Life and Letters of Charles Darwin, Volume II • Francis Darwin

... the fruitiest and richest of the Italian wines, not much unlike the modern sherry, but having still more body, and many cyathi, or drinking cups; but he brought in no water, wherewith the more temperate ancients were wont to mix their heady wines, even in so great a ratio as nine to one of the ...
— The Roman Traitor (Vol. 1 of 2) • Henry William Herbert

... the difference in the productivity of the land under consideration and that of the poorest land under cultivation at the time; and therefore being in its amount independent of direct human control. The Malthusian law of population showed that population tended to increase in a geometrical ratio, subsistence for the population, on the other hand, only in an arithmetical ratio, and that poverty was, therefore, the natural and inevitable result in old countries of a pressure of population on subsistence. The sanction of science was thus given alike to the desires of the ...
— An Introduction to the Industrial and Social History of England • Edward Potts Cheyney

... proportion as the intercourse of the Europeans with China has increased, in precise ratio has the decrease of their direct trade in junks become apparent. The Portuguese first, and subsequently the Dutch, mistress of the Eastern seas, exacted by treaties and other ways the Malay produce at their own rates, and were consequently enabled to undersell the junks in China. ...
— The Expedition to Borneo of H.M.S. Dido - For the Suppression of Piracy • Henry Keppel

... be read in eloquent Rulhiere; but by no mortal held in memory. Anarchy is not a thing to be written of; a Lernean Hydra, several Lernean Hydras, in chaotic genesis, getting their heads lopped off, and at the same time sprouting new ones in such ratio, where is the Zoologist that will give account of it? There was not anything considerable of fighting; but of bullying, plundering, murdering and being murdered, a frightful amount. There are seizures of castles, convents, defensible houses; marches at a rate like that of antelopes, ...
— History of Friedrich II. of Prussia, Vol. XXI. (of XXI.) • Thomas Carlyle

... in importance to the preceding, I will only name the works for the distribution of water and gas, which in this country and in the United States have been extended in a ratio far greater than that of the increase of the population, and which, since the conclusion of the Franco-German war, and the consolidation of the German and Italian States, are now to be found in almost ...
— Scientific American Supplement, Vol. XV., No. 388, June 9, 1883 • 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 bottom ...
— Lectures and Essays • T.H. Huxley

... suffrage altogether. Even in the 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 ...
— The Governments of Europe • Frederic Austin Ogg

... it's a queer world anyhow, as most of us know. There's my own case, for example. I'm supposed to be a gentleman of leisure and means. Leisure, certainly, but the means are slender enough, and proceeding in a diminishing ratio. That's the penalty of having been born a rich man's son and educated chiefly in the arts of riding off at polo and thrashing a single-sticker to windward in a Cape Cod squall. But I sha'n't say a word against the governor, God bless him! He gave me what I thought I wanted, ...
— The Gates of Chance • Van Tassel Sutphen

... direction while drifting in a wind that blows straight ahead. Its direction is from first to last the resultant of the direction of the wind and that of the pull of gravity, into which there enters besides only the ratio of the strengths of these two forces. The single snowflake is to the indifferent eye something infinitesimal, too small to take individual notice of, once it reaches the ground. For most of us it hardly has any separate existence, however it may be to ...
— Over Prairie Trails • Frederick Philip Grove

... the young nobles approached the presumably fair peripatetic, and, with courtesy commonly in inverse ratio to the amount of wine he was carrying home, proffered his escort to his gondola. Whenever this happened the figure removed her mask and unclasped her robe, and revealed a sight which for one moment rooted the young man to the earth and in the next sent him scampering to his bark. For the countenance ...
— The Twilight of the Gods, and Other Tales • Richard Garnett

... is that it serves 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

... were melted down. But silver and even copper continued to become more and more scarce. In the midst of all this, various juggleries were tried, and in November, 1790, the Assembly decreed a single standard of coinage, the chosen metal being silver, and the ratio between the two precious metals was changed from 15 1/2 to 1, to 14 1/2 to 1—but all in vain. It was found necessary to issue the dreaded small paper, and a beginning was made by issuing one hundred millions in notes of five francs, and, ere long, obedient to the universal clamor, there were ...
— Fiat Money Inflation in France - How It Came, What It Brought, and How It Ended • Andrew Dickson White

... 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 ...
— The Story of the Cotton Plant • Frederick Wilkinson

... 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 ...
— A Ramble of Six Thousand Miles through the United States of America • S. A. Ferrall

... a history play of interest as a pioneer, are best known. He himself called God's Promises a tragedy, but unless the sense of Sodom hanging in the balance, while Abraham works down to its lowest point the diminishing ratio of the just to be found there, or of David's appearing before the Pater Coelestis as the great judge, of dramatic or tragic emotion there is little indeed. But Bayle's rhetoric easily ran to the edge of suspense, as in the opening of his seventh act, where he puts the dramatic ...
— Everyman and Other Old Religious Plays, with an Introduction • Anonymous

... day, that one of the foremost 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 ...
— Hard Times • Charles Dickens*

... sparkle out of them. They were not in a healthy state. They were degraded, contracted, flaccid. They did not hold themselves high. They knew that in a market-point of view there was a frightful glut of women. The usually small ratio of men was unusually diminished by the absence of those who gone to the war, and of those who, as was currently reported, were ashamed that they had not gone. A few available men had it all their own ...
— Gala-days • Gail Hamilton

... ought not to say that they fear God, but that they are horribly afraid of him.... Judging from the picture they paint of the Supreme Being, from his wrath, from the rigour of his vengeance, from certain comparisons expressive of the ratio between those whom he leaves to perish and those to whom he deigns to stretch out a hand, the most upright soul would be tempted to wish that such a being did not exist. ...
— Diderot and the Encyclopaedists (Vol 1 of 2) • John Morley

... descend, my heart beating fast with terror, my face blanched, I am sure, but my hand still moving along the body of the awful creature. I had studied zoology, giving a good deal of attention to reptiles, and I knew that, judged by the ordinary ratio of diminution of the bodies of serpents, this one must extend a long ...
— The Stories of the Three Burglars • Frank Richard Stockton

... to the 5-5-3 ratio proposed by Secretary Hughes, and urged a 10-10-7 ratio as more in accord with existing strength. The American proposal included the scrapping of the Mutsu, the pride of the Japanese navy, which had been launched but not quite completed. ...
— From Isolation to Leadership, Revised - A Review of American Foreign Policy • John Holladay Latane

... pretended amount of population has been generally in the ratio of the distance of the period taken, and, of course, of the difficulty of refutation. A few random remarks of ancient writers have proved the basis for the wildest hypotheses, raising the estimates to the total of what the ...
— The History of the Reign of Ferdinand and Isabella The Catholic, V3 • William H. Prescott

... intensely sultry spot. Corumb is a town of 5,000 inhabitants, and often said to be one of the hottest in the world. It is an unhealthy place, as are most towns without drainage and water supply. In the hotter season of the year the ratio on a six months' average may be two deaths to one birth. It is a place where dogs at times seem more numerous than people, a town where justice is administered in ways new and strange. Does the reader wish an instance? ...
— Through Five Republics on Horseback • G. Whitfield Ray

... bridge, we believe, 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 ...
— Chambers's Edinburgh Journal, No. 452 - Volume 18, New Series, August 28, 1852 • Various

... 26th. On the 25th we encamped in the desert some leagues before Ad- Geroth. The heat had been very great during the day; but about eleven at night the cold became so severe as to be precisely in an inverse ratio to the temperature of the day. This desert, which is the route of the caravans from Suez, from Tor and the countries situated on the north of Arabia, is strewed with the bones of the men and animals who, for ages past, have perished in crossing it. As there was no wood ...
— Memoirs of Napoleon Bonaparte, v3 • Louis Antoine Fauvelet de Bourrienne

... Vintages.—All Greeks, however, drink their wine so diluted with water that it takes a decided quantity to produce a "reaction." The average drinker takes three parts water to two of wine. If he is a little reckless the ratio is four of water to three of wine; equal parts "make men mad" as the poet says, and are probably reserved for very wild dinner parties. As for drinking pure wine no one dreams of the thing—it is a practice fit for Barbarians. ...
— A Day In Old Athens • William Stearns Davis

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

... the circle of our sight, or of our own personal associations. Our selfishness and our indolence affect the objects of our contemplations quite as much as they do the character of our work. They vitiate both, by making ourselves the great object of both, and by weakening the force of both in a ratio that increases rapidly with the increasing distance from that favourite centre. It is but a subtle form of the same disease which keeps our thoughts penned within the bounds of any fold, or limited by the progress ...
— Expositions of Holy Scripture - St. John Chapters I to XIV • Alexander Maclaren

... weight, various foreign coins, the most common of which was the Spanish piece of eight, about equal in value to five shillings in English money. My Lord, upon his arrival, industriously bought up all the worn coins he could secure, arbitrarily proclaimed them legal tender at the ratio of six shillings to one piece of eight, and then paid the soldiers and the landlords. This ingenious trick probably netted him over L1,000. Later he restored the ratio to five to one, so that he would lose nothing when his own salary became due. Of ...
— Virginia under the Stuarts 1607-1688 • Thomas J. Wertenbaker

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

... that as much as to say, genius, power, and money, or, in yet other words—the cause, the means, and the effect? But suppose a kind of social tabula rasa, every social unit perfectly equal, an increase of population everywhere in the same ratio, and give the same amount of land to each family; it would not be long before you would again have all the existing inequalities of fortune; it is glaringly evident, therefore, that there are such things as superiority ...
— The Country Doctor • Honore de Balzac

... possess sufficiently accurate accounts of 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, ...
— The Commercial Products of the Vegetable Kingdom • P. L. Simmonds

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

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

... assertion is dubious. There seems no clear relationship between prostitution and insanity, and Tammeo has shown (La Prostituzione, p. 76) that the frequency of prostitutes in the various Italian provinces is in inverse ratio to the frequency of insane persons; as insanity increases, prostitution decreases. But if we mean a minor degree of moral imbecility—that is to say, a bluntness of perception for the ordinary moral considerations of civilization which, while it is largely due to the hardening influence ...
— Studies in the Psychology of Sex, Volume 6 (of 6) • Havelock Ellis

... murderous war that seemed to have no moral origin, but, like the brutal fights of beasts of prey, to have sprung from ferocious animalism. This great nation, filling all profitable latitudes, cradled between two oceans, with inexhaustible resources, with riches increasing in an unparalleled ratio, by agriculture, by manufactures, by commerce, with schools and churches, with books and newspapers thick as leaves in our own forests, with institutions sprung from the people, and peculiarly adapted to their genius; a nation not sluggish, but active, used to excitement, ...
— The World's Best Orations, Vol. 1 (of 10) • Various

... proper knowledge of a thing can come only through its proper ratio [i.e., concept]. But as God knows all things by His essence, it seems that He does not know each thing by its proper ratio; for one thing cannot be the proper ratio of many and diverse things. Therefore God has not a proper knowledge of things, but a general ...
— Summa Theologica, Part I (Prima Pars) - From the Complete American Edition • Thomas Aquinas

... Repentance, sanctioned by the General Assembly in 1569, long continued to be used as a directory in the administration of discipline. It was compiled by Knox, or rather abridged by him from Alasco's 'Modus ac Ritus Excommunicationis' and his 'Forma ac Ratio Publicae Penitentiae,' used with the approbation of Edward VI. in the Church of the Foreigners in London. It breathes throughout a spirit of tender regard for erring brethren and earnest longing for their recovery, quite as strongly as it manifests a spirit of ...
— The Scottish Reformation - Its Epochs, Episodes, Leaders, and Distinctive Characteristics • Alexander F. Mitchell

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

... battle had been raging over Wilkes at home, the cloud of trouble had been growing larger and larger abroad. The discontent of the American colonies increased in direct ratio with the determination of the home Government to ignore or to override that discontent. The King was fortunate, or believed himself to be fortunate, in finding among his ministers the aptest instrument he could ...
— A History of the Four Georges and of William IV, Volume III (of 4) • Justin McCarthy and Justin Huntly McCarthy

... neighborhood of a hundred thousand dollars to one campaign fund and fifty thousand dollars to the campaign fund of the other side—and, I believe, made some further substantial contributions in the same ratio of two dollars to one side for every one dollar given to the other. The contributors were Democrats, and the big contributions went to the Democratic managers. The Republican was elected, and after his election, when a matter came up affecting ...
— Theodore Roosevelt - An Autobiography by Theodore Roosevelt • Theodore Roosevelt

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

... to saturate the free cerotic acid. In this way two numbers are obtained; and in an investigation of twenty samples of Austrian yellow beeswax, the author found these numbers stood to each other almost in the constant ratio of 1 to 3.70. Although this ratio cannot be considered as definitely established by so few experiments, it may serve as a guide in judging of the purity ...
— Scientific American Supplement, No. 443, June 28, 1884 • Various

... step, as the processes of capitalism culminated, this war increased in bitterness and intensity. For, of course, as capital heaped up and its control became concentrated, the ratio of exploitation increased. The great mass of labor was unorganized and helpless; whereas the masters had combined and fixed their prices; and so day by day the cost of living increased, and misery and discontent increased with it. As capital expanded, and new machines ...
— Love's Pilgrimage • Upton Sinclair

... taking pains; but it struck me as singular that, in each game, his play seemed to depend upon that of his adversary. When Oaklands first began Cumberland certainly beat him, but not by many; and, as he became interested, and his play improved, so in the same ratio did Cumberland's keep pace with it. Of course, there might be nothing in this; the same causes that affected the one might influence the other; but the idea having once occurred to me, I determined to watch the proceedings still more ...
— Frank Fairlegh - Scenes From The Life Of A Private Pupil • Frank E. Smedley

... are constantly arising to affect the state of commerce, foreign and domestic, and, of consequence, the revenue levied upon it. The sales of the public domain in ordinary times are regulated by fixed laws which have their basis in a demand increasing only in the ratio of the increase of population. In recurring to the statistics connected with this subject it will be perceived that for a period of ten years preceding 1834 the average amount of land sales did not exceed $2,000,000. For the increase which took ...
— A Compilation of the Messages and Papers of the Presidents: Tyler - Section 2 (of 3) of Volume 4: John Tyler • Compiled by James D. Richardson

... locality; but the institution in question stands so close to the main thoroughfare that the most fastidious may visit it with ease. Here I found some twenty Arabs assembled for evening school. They were of all ages, from seven to fifteen, and their clothing was in an inverse ratio to their dirt—very little of the former, and a great deal of the latter. They moved about with their bare feet in the most feline way, like the veritable Bedouin himself. There they were, however, over greasy slates and grimy copy-books, in process of civilization. ...
— Mystic London: - or, Phases of occult life in the metropolis • Charles Maurice Davies

... centre of attraction. So that, the further the attracted body is from the attracting body, the less is the intensity of the mutual attracting forces, though that intensity does not vary simply as the distance, but rather as the square of the distance, and that in its inverse ratio. Thus if we take two masses of any kind or sort, and place them at various distances as represented by the numbers 1, 2, 3, 4, 5, 6, the intensity of the attracting forces between the same masses ...
— Aether and Gravitation • William George Hooper

... architecture may be introduced as an explanation of the scene in which the figures act; but with more or less prominence in the inverse ratio of the ...
— The Stones of Venice, Volume I (of 3) • John Ruskin

... thinks the "developmental energy" of the eggs is in an inverse ratio to their size. The last and largest eggs of the season develop least and produce most females. The second egg of a clutch is larger than the first, but develops less and the bird produced is shorter-lived. Overworking and other ...
— Taboo and Genetics • Melvin Moses Knight, Iva Lowther Peters, and Phyllis Mary Blanchard

... which cannot be too carefully studied in connection with the present state of public morality in China, and the general welfare of the people. Dr Legge, however, whose logical are apparently in an inverse ratio to his linguistic powers, rushes wildly into the concrete, and declares that every falsehood told in China may be traced to the example of Confucius himself. He acknowledges that "many sayings might ...
— Chinese Sketches • Herbert A. Giles

... impression, but makes us 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 constructible material. ...
— The Works of Frederich Schiller in English • Frederich Schiller

... things we may add what Pythagoras taught, namely, that the whole world was constructed according to musical ratio, and that the seven planets ... have a rhythmical motion and distances adapted to musical intervals, and emit sounds, every one different in proportion to its height [Saturn was said to be the highest, as it is the farthest away, and was supposed to ...
— Shakespeare and Music - With Illustrations from the Music of the 16th and 17th centuries • Edward W. Naylor

... population of fifteen hundred; who would have increased in Jacob's time to several thousands, capable of defending the border land of Goshen against the marauding Bedouin. And this population could easily increase to the three millions of the Exodus, at the same ratio in which the population of the United States is now increasing; so that it is a mere superfluity of naughtiness for the bishop to deny what the sacred historian so emphatically asserts: "That the people were fruitful, and increased abundantly, ...
— Fables of Infidelity and Facts of Faith - Being an Examination of the Evidences of Infidelity • Robert Patterson

... 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 to services rendered. ...
— The Battle of Spring Hill, Tennessee - read after the stated meeting held February 2d, 1907 • John K. Shellenberger

... result, a shortage of cocoa for export has created a serious balance-of-payments problem. Production of less important crops, such as coffee, copra, and palm kernels, has also declined. The value of imports generally exceeds that of exports by a ratio of 4:1. The emphasis on cocoa production at the expense of other food crops has meant that Sao Tome has to import 90% of food needs. It also has to import all fuels and most manufactured goods. Over ...
— The 1993 CIA World Factbook • United States. Central Intelligence Agency.

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

... December 31, 1887, states that the women outnumbered the men by about one thousand. As the immigrants from Spain are mostly men, however, the actual ratio between the two sexes, as far as the native population is concerned, would be greatly in favor ...
— Porto Rico - Its History, Products and Possibilities... • Arthur D. Hall

... a crammer is a happy manner and address, to encourage the desponding, to animate the idle, and to make the exertions of the pupil continually increase in such a ratio, that he shall be wound up to concert pitch by the day of ...
— A Collection of College Words and Customs • Benjamin Homer Hall

... precisely sufficient to carry off the supply on the other. The conditions required by the principle of demand and supply are fulfilled, and the two commodities will continue to be interchanged, as we supposed them to be, in the ratio of 17 yards of linen for ...
— Essays on some unsettled Questions of Political Economy • John Stuart Mill

... 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 with pure hydrogen gas, it would be advisable to found our calculations ...
— A Project for Flying - In Earnest at Last! • Robert Hardley

... lowest end of a vertical beam, so that the line of action of the weight and axis of the beam formed one and the same straight line—the tension on the beam would be 2000 lbs. But, if the beam were inclined, and the force acted in a vertical direction, then the strain would be increased in the ratio of the increase of the diagonal of inclination over the vertical;—suppose the beam is 20 ft. long and inclined at an angle of 45 deg.—and let 2000 lbs., as before, be suspended from its lower end. Now the diagonal being 20 deg.,—the vertical will be 14.014 ft.—and the ...
— Instructions on Modern American Bridge Building • G. B. N. Tower

... haesitatione corpus humanum eam perrepere possit, diabolo impossibile non esse per eam eas educere. Si vero per inproportionatum (ut ita loquar) corporibus spatium eas educit tunc meras illusiones praestigiosas esse censeo, nec a diabolo hoc unquam effici posse. Ratio est, quoniam diabolus essentiam creaturae seu lamiae immutare non potest, multo minus efficere ut majus corpus penetret per spatium inproportionatum, alioquin corporum penetratio esset admittenda quod contra naturam et omne Physicorum principium est." This is fine reasoning, and ...
— Among My Books - First Series • James Russell Lowell

... it makes him, educates him, creates in 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 ...
— Confessions and Criticisms • Julian Hawthorne

... outline of our negro problem in no spirit of pessimism or of prejudice, but in the belief that the only way to remedy an evil or a difficulty is candidly and fundamentally to understand it. Two things are evident: First, the negro population is certain to increase in the United States, in a ratio at least equal to that of the whites. Second, the South needs its labor. Its deportation is an idle dream. The only visible solution is for the negro to become an integral and an intelligent part of the industrial community. The way may be long, but he must work his way up. Sympathetic ...
— Baddeck and That Sort of Thing • Charles Dudley Warner

... increased sixty-two per cent, of women fifty-one per cent, while the whole number of women employed as teachers had increased fifty-four per cent; one month had been added to the average length of the schools; the ratio of private school expenditures to those of the public schools had diminished from seventy-five per cent to thirty-six per cent; the compensation of school committees had been made compulsory, and their supervision was more general and more constant; three normal schools had been established, ...
— History of Education • Levi Seeley

... small and limited qualities to be economical. The cost of double, treble, or quadruple teams, to increase speed or reduce time, swells the cost of transportation almost in like ratio, and would eat largely ...
— History of Steam on the Erie Canal • Anonymous

... 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 only 100 pounds ...
— Other Worlds - Their Nature, Possibilities and Habitability in the Light of the Latest Discoveries • Garrett P. Serviss

... The ratio of the popular vote in each case was about one-third for the amendment and two-thirds against it. Three Territories have or have had full suffrage for women. In two, Wyoming since 1869 and Washington since 1883, the ...
— Debate On Woman Suffrage In The Senate Of The United States, - 2d Session, 49th Congress, December 8, 1886, And January 25, 1887 • Henry W. Blair, J.E. Brown, J.N. Dolph, G.G. Vest, Geo. F. Hoar.

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

... to weavers. Afterwards came the powerloom; and weavers can now only make perhaps 4s. 6d. per week, even while working for longer hours than is good for their health. The result is most lamentable; but it cannot be otherwise, for the public will only reward services in the ratio of the value of these services to itself. It will not encourage a human being, with his glorious apparatus of intelligence and reflection, to mis-expend himself upon work which can be executed equally well by unthinking machinery. Were the poor weavers able so far ...
— Chambers's Edinburgh Journal, No. 420, New Series, Jan. 17, 1852 • Various

... into the foreground all their pre-bellum exasperations. Prices had risen alarmingly and in perverse ratio their income had shrunk to a little over half of its original size. There had been the large retainer's fee to Mr. Haight; there were stocks bought at one hundred, now down to thirty and forty and other investments ...
— The Beautiful and Damned • F. Scott Fitzgerald

... was shortly after employed by Robert Stephenson in piling 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 it was being driven, so that the ...
— Industrial Biography - Iron Workers and Tool Makers • Samuel Smiles

... nearly the existing forms many ages before, at the close, apparently, of the Oolitic period, and at a still earlier age in the Lammermuir district, to the south. And so the sea around our shores must have deepened in the ratio in which the hills sank. The evidence of this process of subsidence is of a character tolerably satisfactory. The dressed surfaces occur in Scotland, most certainly, as I have already stated on the authority of Dr. Fleming, at the ...
— The Cruise of the Betsey • Hugh Miller

... hundred millions, with the view of inaugurating effectual modern medical practice in their midst. How many physicians are there to minister to this vast mass of humanity? Barely two hundred! Such a ratio makes the clientele of each physician about two million. What would the English-speaking world think if there were only one physician available for the cities of New York and Brooklyn! Yet the people of these cities would not be so badly off, ...
— Notable Women Of Modern China • Margaret E. Burton

... direct sovereignty over the Anatolian littoral she suffered little commercial loss and became more secure. It is clear that her satraps continued to manage the western trade and equally clear that the wealth of her empire increased in greater ratio than that of the Greek cities. There is little evidence for Hellenic commercial expansion consequent on the Persian wars, but much for continued and even increasing Hellenic poverty. In the event Persia ...
— The Ancient East • D. G. Hogarth

... Thus, too, in the realm of inventive skill, each tool becomes the parent of a score of other tools. The studies preparatory to Edison's first mechanism covered a long period of years; but, gaining momentum, his inventive skill increased in geometric ratio, until to-day the famous electrician holds nearly a thousand patents; but, as nothing succeeds like success, so nothing is so ruinous as failure. The weaker a man is, the weaker he must become. When a man who seeks employment is shabby and ...
— A Man's Value to Society - Studies in Self Culture and Character • Newell Dwight Hillis

... tin, and other minerals mentioned may be only temporary. There is a large part of the world still to be explored, and the present reserves merely mark a stage in this exploration. Nevertheless, the ratio of reserves and discovery on the one hand to accelerated use on the other gives cause for much concern. Looking forward to the future, the problem of mineral reserves in general is not one of the possible ultimate amount which the earth may contain—presumably ...
— The Economic Aspect of Geology • C. K. Leith

... ornamented, and pompously printed, which this literary adventurer, said to have been a gentleman, loaded the world with, by the aid of his subscribers. Another age was that of Dedications,[22] when the author was to lift his tiny patron to the skies, in an inverse ratio as he lowered himself, in this public exhibition. Sometimes the party haggled about the price;[23] or the statue, while stepping into his niche, would turn round on the author to assist his invention. A patron of Peter Motteux, dissatisfied with Peter's colder ...
— Calamities and Quarrels of Authors • Isaac D'Israeli

... other. Rhode Island and Massachusetts are wealthy Atlantic States, containing, as regards enterprise and commercial success, the cream of the population of the United States. Comparing them in the ratio of population, I believe that they are richer than any other States. They return between them thirteen Representatives, Rhode Island sending two and Massachusetts eleven. Iowa and Indiana also send thirteen Representatives, Iowa sending two, and being thus equal ...
— Volume 2 • Anthony Trollope

... years before. There was the infantry arm to which Barnet belonged and which was supposed to fight on foot with a rifle and be the main portion of the army. There were cavalry forces (horse soldiers), having a ratio to the infantry that had been determined by the experiences of the Franco-German war in 1871. There was also artillery, and for some unexplained reason much of this was still drawn by horses; though there were also in all the European ...
— The World Set Free • Herbert George Wells

... an ascension being made to 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 ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe

... enforced; and although he endeavored for a period to conciliate the Chinese and to obtain more favorable terms by concessions, there came a time when it was impossible to assent to the arrogant demands of the mandarins, and when resort became necessary to the ultima ratio regum. But for the first two critical years Captain Elliot pursued the same policy as Lord Napier, alternating concessions with threats, and, while vaunting the majesty of his sovereign, yielding to demands which were unreasonable and not to ...
— China • Demetrius Charles Boulger

... Mississippi' and our plantations embrace some of the richest and most fertile land that can be found in the entire 'Delta.' In some parts of the 'Delta' the Negro population outnumbers the white population in a ratio of five to one. In the town in which I live (Mound Bayou) we outnumber the white population in a ratio of five to nothing. ...
— Booker T. Washington - Builder of a Civilization • Emmett J. Scott and Lyman Beecher Stowe

... their intimacy had been founded. It is not clear why this should be so, but it is true, nevertheless, and many a couple before Charles Juxon and Mary Goddard had found it out. As the interest of two people in each other increases their interest in things, as things, diminishes in like ratio, and they are very certain ultimately to reach that point described by the Frenchman's maxim—"a man should never talk to a woman except of herself ...
— A Tale of a Lonely Parish • F. Marion Crawford

... reflect, the abstract and impersonal thing which engineers define as the ratio between energy expended and result obtained has no moral quality in itself. Whatever of morality or lack of morality the word "efficiency" calls forth is given to it by the manner in which the terms of the ratio are defined. It is for society to make the definitions. ...
— Higher Education and Business Standards • Willard Eugene Hotchkiss



Words linked to "Ratio" :   proportionality, I.Q., prevalence, output-to-input ratio, turnover rate, cephalic index, margin of profit, average, factor of safety, odds, index of refraction, magnification, reflective power, frequency, signal-to-noise ratio, IQ, haematocrit, price-to-earnings ratio, Mach number, time constant, f number, packed cell volume, gas mileage, proportion, case-to-infection ratio, betting odds, P/E ratio, fuel consumption rate, respiratory quotient, signal/noise ratio, speed, relative frequency, breadth index



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