"Inversely" Quotes from Famous Books
 ... nature, stated in its simplest form, asserts that the intensity of gravitation varies inversely as the square of the distance. Let me endeavour to elucidate this somewhat abstract statement by one or two simple illustrations. Suppose a body were raised above the surface of the earth to a height of nearly 4,000 miles, ...
— The Story of the Heavens • Robert Stawell Ball
... aroused by the contemplation of a thing. Minor harmonies, slow movements, dark tonal colorings, combine directly to put a musically susceptible person in a mood congenial to thoughts of sorrow and death; and, inversely, the experience of sorrow, or the contemplation of death, creates affinity for minor harmonies, slow movements, and dark tonal colorings. Or we recognize attributes in music possessed also by things, and we consort the music and the things, external ...
— How to Listen to Music, 7th ed. - Hints and Suggestions to Untaught Lovers of the Art • Henry Edward Krehbiel
... silver, and gold, the result is stated as so many cwts., lbs., or ozs., in the ton. With dressed tin ores as they are sent to the smelter, the produce is given in cwts. and quarters to the ton. The corresponding percentage may be obtained by multiplying by five; or, inversely, if the percentage is given, the produce may be got by dividing by five. A produce of 13-1/2 equals a percentage of 13.55 67.5; and a percentage of 70.0 equals a produce of 70/5 14. With tin ores as raised (in which the percentage is small) the reduction must ...
— A Textbook of Assaying: For the Use of Those Connected with Mines. • Cornelius Beringer and John Jacob Beringer
... the Y. W. C. A. "You see, it is both the duty and the pleasure of a producer of a play to see that his author has a good time while in the city." It was a surprise to Mr. Vandeford to find himself thus stating the case inversely. ...
— Blue-grass and Broadway • Maria Thompson Daviess
... another escapement with two pendulums in Fig. 153. These are fixed directly upon two axes, each one carrying a pallet P P' and a segment of a toothed wheel D D, which produces the effect of solidarity between them. The two pendulums oscillate inversely one to the other, and one after the other receives an impulse. This escapement was constructed by ...
— Watch and Clock Escapements • Anonymous
... will not leave the arena till the sharp steel has pierced his heart. He who sees or divines behind the nearest objects their distant causes, paralyzed by the vision of the endless chain of cause and effect, loses the courage to act. And inversely, to retain that courage, to strive with pleasure and zeal after earthly things, one must make use of the world and its ordinances, must move the pieces on the chess-board of life with patience, and, according to its puerile rules, ...
— The Malady of the Century • Max Nordau
... childish passion for directing the life of the household, all her girlish relish in keeping lovers in leading strings, all that unconscious love of Power which—inversely—had attracted her to Walter Bassett, and which had found so delightful a scope in her political activities, leapt—now that her Salon was threatened with extinction—into agonised consciousness ...
— The Grey Wig: Stories and Novelettes • Israel Zangwill
... Arcturus the ratio of the star's light to sunlight may be taken as about one twenty-five-thousand-millionth—i. e., 25,000,000,000 stars, each equal to Arcturus, would together shed upon the earth as much light as the sun does. But we know that light varies inversely as the square of the distance; for instance, if the sun were twice as far away as it is, its light would be diminished for us to a quarter of its present amount. Suppose, then, that we could remove the earth to a point midway between the sun and Arcturus, we should then be 5,700,000 ...
— Pleasures of the telescope • Garrett Serviss
... are made with adjustable weights on their prongs and by fixing these to different parts of them the frequency with which the forks vibrate can be changed since the frequency varies inversely with the square of the length and directly with the thickness [Footnote: This law is for forks having a rectangular cross-section. Those having a round cross-section vary as the radius.] of the prongs. Now by adjusting one of the ...
— The Radio Amateur's Hand Book • A. Frederick Collins
... something. Well, maybe it did; a lot of Ministers and almost all the Counselors spent most of their time worrying about what people on planets like Chermosh and Zarathustra and Deirdre and Quetzalcoatl might think, in ignorance of the fact that interest in Empire politics varied inversely as the square of the distance to Odin and the level of corruption and ...
— Ministry of Disturbance • Henry Beam Piper
... its own population. From the arguments he used he came to the conclusion that it was not advisable for parliament to alter the principle of the existing law; and the alteration which he would therefore propose went on the principle of retaining a duty on corn, varying inversely with the price of corn in the home market. He continued by observing that the maintenance of that principle involved the maintenance of a system of averages; and after expressing doubts whether there had not been much exaggeration as ...
— The History of England in Three Volumes, Vol.III. - From George III. to Victoria • E. Farr and E. H. Nolan
... but in the Irish quarter of Dublin: a sacred token of amity between the new settlers and the natives on the ground of a common faith. Let us believe, too, that the influence of woman was not wanting in the good work—that the story of St. Margaret and Malcolm Canmore was repeated, though inversely, in the case of many a heathen Scandinavian jarl, who, marrying the princely daughter of some Scottish chieftain, found in her creed at last something more precious than herself; while his brother or ...
— Lectures Delivered in America in 1874 • Charles Kingsley
... the burning-glass we have a parallel for the value of an intellectual or religious symbol. This too is a gathering point for impressions otherwise too diffuse; or, inversely conceived, a sign guiding the mental vision through spaces which would otherwise be blank. Its reduced or microcosmic presentment of facts too large for man's mental grasp suggests also an answer to those who bemoan the limitations of human knowledge. Characteristic remarks on ...
— A Handbook to the Works of Browning (6th ed.) • Mrs. Sutherland Orr
... study of the matter he notes that the work of Prof. Wilhelm Wien, of Wuerzburg, leads by theory to precisely the conclusion announced by Planck that if we are to hold to the accepted ideas of statistical equilibrium the energy can vary only by quanta inversely proportional to wave-length. The mechanical property of the resonators imagined by Planck is therefore precisely that which Wien's theory requires. If we are to suppose atoms of energy, therefore, they must be variable atoms. There are other objections which need not be touched ...
— A Librarian's Open Shelf • Arthur E. Bostwick
... absurdity. Again, therefore, I affirm that, when the laborer obtains a large quantity of corn, for instance, it is so far from being any fair inference that wages are then at a high real value, that in all probability they are at a very low real value; and inversely I affirm, that when wages are at their very highest real value, the laborer will obtain the very smallest quantity of corn. Or, quitting wages altogether (because such an illustration would drive me into too much anticipation), ...
— Memorials and Other Papers • Thomas de Quincey
... perhaps imagine that the value of biography depends upon the judgment and taste of the biographer; but on the contrary it may be maintained, that the merits of a biographer are inversely as the extent of his intellectual powers and of his literary talents. A plain unvarnished tale is preferable to the most highly ornamented narrative. Where we see that a man has the power, we may naturally suspect that he has the will to deceive us; and those who are used to literary ...
— Castle Rackrent • Maria Edgeworth
... conductors offer a certain resistance to the passage of an electric current, and the amount of this resistance is proportional to the length of the conductor, and inversely to its size. In order to overcome this resistance, it is necessary to increase the number of the cells in the battery, and thus obtain a fluid of greater ...
— Atlantic Monthly, Vol. 10, No. 61, November, 1862 • Various
... a given society, the authority of man over man is inversely proportional to the stage of intellectual development which that society has reached; and the probable duration of that authority can be calculated from the more or less general desire for a true government,—that is, for a scientific government. ...
— What is Property? - An Inquiry into the Principle of Right and of Government • P. J. Proudhon
... of a whole nation seemed on the point of being cut off. A loud demand was made for "the opening of the ports." By existing laws the ports admitted foreign grain tinder import duties varying in severity inversely with the fluctuating price of home-grown grain; thus a certain high level in the cost of corn was artificially maintained. These regulations, though framed for the protection of the native producer, did not bear so heavily on the consumer as the law of 1815 which they replaced; and the principle ...
— Great Britain and Her Queen • Anne E. Keeling
... convex, glabrous, grayish-red or chestnut-color. Flesh white, unchangeable. The tubes at first concave or nearly plane, white and stuffed, then convex, slightly depressed around the stem, ochraceous-yellow. Stem mostly obclavate, inversely club-shaped, and reticulate to the base. The spores oblong-fusiform, ...
— The Mushroom, Edible and Otherwise - Its Habitat and its Time of Growth • M. E. Hard
... poles, as well as on the resistance of the circuit. The relation between these is expressed by the well-known law of Ohm, which runs: A current of electricity is directly proportional to the electromotive force and inversely proportional to the ...
— The Story Of Electricity • John Munro
... genius of Newton to solve this wonderful problem. This great philosopher was able to prove 'that every particle of matter in the universe attracts every other particle with a force proportioned to the mass of the attracting body, and inversely as the square of the distance between them.' Newton was capable of demonstrating that the force which guides and retains the Earth and planets in their orbits resides in the Sun, and by the application of this law of gravitation he was able to explain the motions of all celestial bodies entering ...
— The Astronomy of Milton's 'Paradise Lost' • Thomas Orchard
... different rates; one, we say, falls behind the other. In this manner of expression, we follow exactly the principles on which we started, and suit our language to our ideas and habits of thinking. By the law of optics things are reflected upon the retina of the eye inversely, that is, upside down; but they are always seen in a proper relation to each other, and if there is any thing wrong in the case, it is overcome by early habit; and so our language accords with things as they are manifested to ...
— Lectures on Language - As Particularly Connected with English Grammar. • William S. Balch
... has often been shown, where organization ends and where instinct begins. When the little chick is breaking its shell with a peck of its beak, it is acting by instinct, and yet it does but carry on the movement which has borne it through embryonic life. Inversely, in the course of embryonic life itself (especially when the embryo lives freely in the form of a larva), many of the acts accomplished must be referred to instinct. The most essential of the primary instincts are really, therefore, ...
— Creative Evolution • Henri Bergson
... stress on the "usefulness" of Liberal Education in the larger sense of the word than his predecessor in the controversy. Instead of arguing that the Utility of knowledge to the individual varies inversely with its Utility to the public, he chiefly employs himself on the suggestions contained in Dr. Copleston's last sentences. He shows, first, that a Liberal Education is something far higher, even in the scale of Utility, than what ...
— The Idea of a University Defined and Illustrated: In Nine - Discourses Delivered to the Catholics of Dublin • John Henry Newman
... been inseparable in the public mind from LYDIA THOMPSON. Her successes have varied inversely as the length of her trunk-hose. She has built up her reputation by "break-downs," and has clutched the burlesque diadem with, innumerable bounds of her elastic legs. Now, however, she has grown weary of offering up her fatted calves at the shrine of a prodigal New-York audience, and desires ...
— Punchinello, Vol. 1, No. 8, May 21, 1870 • Various
... second theory is that, for one thing, the experiments of a Bordeaux bee-keeper, M. Drory, have shown that in cases where all the large cells have been removed from the hive, the mother will not hesitate, when the moment for laying male eggs has come, to deposit these in workers' cells; and that, inversely, she will lay workers' eggs in cells provided for males, if she have no others at her disposal. And, further, we learn from the interesting observations of M. Fabre on the Osmiae, which are wild and olitary bees of the Gastrilegidae family, that not only does the Osmia know in advance the sex ...
— The Life of the Bee • Maurice Maeterlinck
... a religious mendicant, forsakes that condition, shall be, until death, the monarch's slave. Slavery must be in the order of the casts, not inversely.[279] ...
— Hindu Law and Judicature - from the Dharma-Sastra of Yajnavalkya • Yajnavalkya
... grows near the sea coast. Trunk 9-12 high, straight, many-branched, devoid of thorns. Leaves alternate, ovate, acutely serrate, glabrous, short-petioled. Flowers greenish-white, axillary, perfect. Calyx 5-toothed, inversely conical. Corolla, 5 petals, smaller than the teeth of the calyx, oval, without claws, notched at the apex. Disc fleshy, smooth, slightly concave. Stamens 5, hidden within the petals. Filaments flattened. Anthers rounded. Ovary fleshy, ...
— The Medicinal Plants of the Philippines • T. H. Pardo de Tavera
... of gas which will pass through small orifices in a given time depends on its density. According to Graham's well-known law of the effusion of gases, the velocity with which a gas effuses varies directly as the square root of the difference of pressure on the two sides of the opening, and inversely as the square root of the density of the gas. Hence it follows that the volume of gas which escapes through a porous pipe, an imperfect joint, or a burner orifice is, provided the pressure in the gas-pipe is the same, ...
— Acetylene, The Principles Of Its Generation And Use • F. H. Leeds and W. J. Atkinson Butterfield
... developed. This is quite true, for the simple reason that there are so many uncertain elements which form their basis: First, the variable quantity of the modulus of elasticity, which, in the concrete, varies inversely as the stress; and, second, the fact that the neutral axis in a reinforced concrete beam under changing stress is migratory. There are also many other elements of evaluation, which, ...
— Some Mooted Questions in Reinforced Concrete Design • Edward Godfrey
... of which motions had been inferred by a separate logical operation, from separate marks), were all marks of moving round a common centre, with a centripetal force varying directly as the mass, and inversely as the square of the distance from that centre. This is the greatest example which has yet occurred of the transformation, at one stroke, of a science which was still to a great degree merely experimental, into a ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill
... we attribute to them? Uncritically considered, they seem to assert two things, one reasonable, the other palpably absurd. The first—that the average angular velocity of the stars varies inversely with their distance from ourselves—few will be disposed to doubt; the second—that their average apparent luster has nothing to do with greater or less remoteness—few will be disposed to admit. But, in order to interpret truly, well ascertained if unexpected relationships, we must remember ...
— Scientific American Supplement, No. 829, November 21, 1891 • Various
... explanation violates the fundamental rule of science, the Law of Parcimony, or the law which forbids us to assume the action of more remote causes where more proximate ones are found sufficient to explain the effects. Consequently, the validity of the argument now under consideration is inversely proportional to the number of possibilities there are of the aspirations in question being due to the agency of physical causes; and forasmuch as our ignorance of psychological causation is well-nigh total, the Law of Parcimony forbids us to allow ...
— A Candid Examination of Theism • George John Romanes
... Professor Morren applied the term "autophyllogeny."[394] The Belgian botanist figures a small perfect leaf springing from the nerves of the upper surface of the primary leaf in a species of Miconia. As in the hazel, the direction of the adventitious leaf is inversely that of the primary one, the upper surface of the supernumerary leaflet being turned towards the corresponding surface of the normal leaf. A similar occurrence took place in Gesnera zebrina, but the new growth in this case sprang ...
— Vegetable Teratology - An Account of the Principal Deviations from the Usual Construction of Plants • Maxwell T. Masters
... angle which the diameter of a heavenly body subtends at any time, varying inversely with its distance. The true is the real diameter, ...
— The Sailor's Word-Book • William Henry Smyth
... ignorance—except, perhaps, in so far as it made for innocence—but the qualities which he possessed, and which one may possess, in spite of ignorance. It is a comparison of values which is established. Through the object-lesson of Parsifal, Wagner is saying, after his fashion and inversely, what Saint Paul says: "Though I speak with the tongues of men and angels,... though I have the gift of prophecy and understand all mysteries and all knowledge,... and have not charity, I am nothing;... it availeth me nothing." The supremacy ...
— The Wagnerian Romances • Gertrude Hall
... disappointment was entirely lost in the delightful excitement of attempting to stimulate the last donkey by hisses, while the boys applied the argument of sticks. But the strength of the donkey mind lies in adopting a course inversely as the arguments urged, which, well considered, requires as great a mental force as the direct sequence; and the present donkey proved the first-rate order of his intelligence by coming to a dead standstill just ...
— Adam Bede • George Eliot
... of opera among fashionable people in this city varies inversely as the intelligibility of the language in which it ...
— Punchinello, Vol. II., No. 34, November 19, 1870 • Various
... comparative darkness, or what might with me be termed night, in the course of the twenty-four hours, or day, gradually increased for six months; after which it decreased reciprocally for an equal time, and the lighter part of the day took its turn, as in our parts of the world, only inversely: so that as the light's decrease became sensible about the middle of March, it was at the greatest pitch the latter end of August, or beginning of September; and from thence, on the contrary, went on decreasing to the close of February, when I had the longest portion of light. Hereupon, ...
— Life And Adventures Of Peter Wilkins, Vol. I. (of II.) • Robert Paltock
... whom the Devil had glided. Indeed, if there is a phenomenon well attested by experience, is it not the spiritual phenomenon commonly called "the faith of the peasant"? The strength of belief varies inversely with the amount of use that a man has made of his reasoning faculties. Simple people and soldiers belong to the unreasoning class. Those who have marched through life beneath the banner of instinct are far more ready to receive the light than minds and hearts ...
— Library of the World's Best Mystery and Detective Stories • Edited by Julian Hawthorne
... a race are two—ability in each member of the race to preserve itself, and ability to produce other members. These must vary inversely—one must decrease as the other increases. We have to ask in what way this adjustment comes about as a result ...
— The World's Greatest Books—Volume 14—Philosophy and Economics • Various
... noisy pretensions of the French literature, at the time creating itself, followed by that natural consequence of corresponding pretensions for the French language. Literature it was that first opened to the language a European career; but inversely the language it was that subsequently clenched and riveted the diffusion of the literature. Two accidents of European society favoured the change. Up to the restoration of our Charles II., diplomacy had been generally conducted in Latin. Efforts had been made, indeed, as early as Cardinal Richelieu's ...
— Blackwood's Edinburgh Magazine—Vol. 54, No. 333, July 1843 • Various
... watched and whispered, its animus would have been little more than a trifle to persons in thriving circumstances. But unfortunately, poverty, whilst it is new, and before the skin has had time to thicken, makes people susceptible inversely to their opportunities for shielding themselves. In Owen was found, in place of his father's impressibility, a larger share of his father's pride, and a squareness of idea which, if coupled with a little more blindness, would have amounted to positive prejudice. To him humanity, ...
— Desperate Remedies • Thomas Hardy
... stimulation of the disease. I would, however, suggest, as a possibility, the very opposite order of relation between the disease and the intellectual manifestations. Not the disease may always have caused the preternatural growth of the intellect; but, inversely, this growth of the intellect coming on spontaneously, and outrunning the capacities of the physical structure, may ...
— Autobiographic Sketches • Thomas de Quincey
... otherwise changes of temperature would cause shearing stress at the junction of the two materials. If the two materials are disposed symmetrically, the amount of load carried by each would be in direct proportion to the coefficient of elasticity and inversely as the moment of inertia of the cross section. But it is usual in many cases to provide a sufficient section of steel to carry all the tension. For concrete the coefficient of elasticity E varies with the amount of stress and diminishes ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 - "Brescia" to "Bulgaria" • Various
... before.[134] The sun in the focus, the motions of the planet more and more rapid as they approach the sun, led Kepler—and Bacon would have reproved him for his rashness—to imagine that a force residing in the sun might move the planets, a force inversely as the distance. Bouillaud,[135] upon a fanciful analogy, rejected the inverse distance, {88} and, rejecting the force altogether, declared that if such a thing there were, it would be as the inverse square of the distance. Newton, ready prepared with the mathematics of the subject, tried ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan
... None better than he knew the mysterious character of his law. That it has worked from all eternity "directly as the mass and inversely as the square of the distance" he knew and told his fellow-creatures. That is all he knew and all that any ...
— Editorials from the Hearst Newspapers • Arthur Brisbane
... responsibility for my safe delivery at the next hsien. One was a "wen," a chairen, or yamen runner; the other was a "wu," a soldier, with a sightless right eye, who was dressed in the ragged vestiges of a uniform that reflected both the poverty of his environment and, inversely, the richness of his commanding officer. For in China the officer enriches himself by the twofold expedient of drawing pay for soldiers who have no existence, except in his statement of claim, and ...
— An Australian in China - Being the Narrative of a Quiet Journey Across China to Burma • George Ernest Morrison
... Gases exist free in the atmosphere, but may be confined. Their parts are highly movable; they are compressible and expansible, and their volumes are inversely as the weight compressing them. All known gases are transparent, and present only two or three varieties of colour; ...
— The World's Greatest Books - Volume 15 - Science • Various
... fruits soon learn that excessive vegetative vigor is not usually accompanied by fruitfulness. Too great vigor is indicated by long, leafy, unbranching shoots. Some fruit-growers go so far as to say that fruitfulness is inversely proportionate to vegetative vigor. There are several methods of diminishing the vigor of the vine; as, withholding water and fertilizers, stopping tillage, the method of training and by pruning. Pruning is used to decrease the vigor ...
— Manual of American Grape-Growing • U. P. Hedrick
... Newton's demonstration of the universal law of gravitation (1685), whereby he showed that "the motions of the solar system were due to the action of a central force directed to the body at the centre of the system, and varying inversely with the square of the distance from it." After making this discovery, Newton himself, with the aid of others, especially of the French mathematician Picard, labored for years to verify it, and still further verification was necessary before it could be fully comprehended ...
— The Great Events by Famous Historians, Vol. 17 • Charles Francis Horne
... the former has said; he understands correctly and does not blame the speaker for having expressed himself altogether unintelligibly.'' This occurs very frequently in daily routine, without causing much difficulty in human intercourse, but it ought, for this reason, to occur inversely in our conversation with witnesses and accused. I know that the manner of speaking just described is frequently used when a witness wants to clothe some definite suspicion without expressing it explicitly. In such cases, e. g., the examiner as well as ...
— Robin Hood • J. Walker McSpadden
... tormentor, "you may see um shadda in da water—dat all you ebba see ob Edwa'd Wa'ffeld. Whoebbar dat ere coon may be, you nebbar set you' eyes on him 'gain—nebba!" A dark shade quickly overcast the crimson, betokening that the words gave pain. My pleasure was in like proportion, but inversely. "You fool, missy' golding har? you' better gone 'long wi' de young dragoon offica who want take you—dat am, if you must had man all to youseff. Yah, yah, yah! Nebba mind, gal! you get husban' yet. Mass' Stebbins he find you husban'—he ...
— The Wild Huntress - Love in the Wilderness • Mayne Reid
... examination reveals further very curious facts. An infant which, in its early years, strongly resembles its father, may later on resemble its mother, or inversely. Certain peculiarities of a certain ancestor appear suddenly, often at an advanced age. It is needless to say that peculiarities concerning the beard cannot appear till this has grown, and this simple fact is so characteristic that it has been called hereditary disposition. ...
— The Sexual Question - A Scientific, psychological, hygienic and sociological study • August Forel
... in the latter has its intensity diminished by the obstruction of the former; and the forces of generation and obstruction are so perfectly neutralize each other exactly. Now as the obstruction is inversely as the balanced as to conducting power, the tendency to generate a current must be directly as that power to ...
— Experimental Researches in Electricity, Volume 1 • Michael Faraday
... in a subsequent letter, where he says: 'Women's unselfishness does not extend to the region of love. The sex attraction is practically inconsistent with altruism, and the measure of renunciation is inversely the measure of affection. This is the order which Nature has established, and it is no use trying to expel her. A woman may lay down her life for the man she loves, but she will not surrender him ...
— Modern marriage and how to bear it • Maud Churton Braby
... of table 1 indicates that the number of correct first choices is inversely proportional to the number of doors in use, while the number of choices made in a given trial is directly proportional to the number ...
— The Mental Life of Monkeys and Apes - A Study of Ideational Behavior • Robert M. Yerkes
... in a place where no night was. But they interposed no obstacle to air or to sound. They were extremely simple in their inception—no more miraculous than is glass, which, inversely, admits the vibrations of light, but shuts out those coarser ones we call air—and, partly, those others which produce upon our auditory nerves the effects ...
— The Moon Pool • A. Merritt
... least in a general way; the laws which underlie it, and the facts upon which it is based. The student who memorizes the words, "all bodies attract one another directly in proportion to their mass and inversely in proportion to the square of the distance between them," knows little or nothing about the law of gravitation, while the student who understands just what those words mean, whether he is able to repeat them correctly ...
— Analyzing Character • Katherine M. H. Blackford and Arthur Newcomb
... Black Tartarian is rather unusual. In the coast regions, Bing, Black Tartarian and Early Purple Guigne are all considered pollinizers for the Royal Ann. Inversely all these should be pollinizers for the Black Tartarian, if that variety requires such assistance, which we have all along supposed that it ...
— One Thousand Questions in California Agriculture Answered • E.J. Wickson
... answer outside possibility, there is a wonderful suggestiveness, if it has happened to come to you illuminated by experience. It becomes a little clearer, perhaps, if we substitute devils for angels. A friend of mine used always to look at it thus inversely when he quarrelled with his wife. Forgive so many enigmas to start with, but it was this way. They never quarrelled more than three times a year, and it was always on the very smallest trifle, one particular trifle too. On the great things of life they were at one. It was but a tiny ...
— Prose Fancies • Richard Le Gallienne
... in the brains of the highest orders of living beings, but that entity "X" should appear in all physico-chemical reactions, just as energy transformations always occur in transformations of matter, and inversely. But this seems not so, and in most of the transformations of energy and of matter entity "X" does not appear. However, we have no satisfactory means of recognizing entity "X," no methods of studying it. Therefore, it may ...
— A Book of Exposition • Homer Heath Nugent
... family becomes more nearly proportional to the income, instead of being inversely proportional to it as at present, and if income is even roughly a measure of the value of a family to the community—an assumption that can hardly be denied altogether, however much one may qualify it in individual ...
— Applied Eugenics • Paul Popenoe and Roswell Hill Johnson
... seems no substance to this solid globe on which we stamp: nothing but symbols and ratios. Symbols and ratios carry us and bring us forth and beat us down; gravity, that swings the incommensurable suns and worlds through space, is but a figment varying inversely as the squares of distances; and the suns and worlds themselves, imponderable figures of abstraction, NH{3} and H{2}O. Consideration dares not dwell upon this view; that way madness lies; science carries us into ...
— The Works of Robert Louis Stevenson - Swanston Edition Vol. 16 (of 25) • Robert Louis Stevenson
... who quotes this observation, has the following remarks on this subject: "Ejaculation occurring at the moment when the circulation, maintained artificially, stops is a fact of significance. It shows how congestive conditions—or inversely anemic conditions—constitute organic states sufficient to set in movement the activity of the nerve-centers, as is the case for muscular contractility.... Everything leads us to believe that at the moment when the motor nervous action takes place the corresponding ...
— Studies in the Psychology of Sex, Volume 3 (of 6) • Havelock Ellis
... that statistic investigation shows that as large a proportion as 18 per cent of injuries of the cervical vertebrae occurring in civil practice, recover. However, the chances of a fatal issue in injuries of the vertebrae vary inversely with the distance of the point of injury from the brain. Keen has recorded a case in which a conoidal ball lodged in the body of the third cervical vertebra, from which it was extracted six weeks later. The paralysis, which, up to the time of extraction, had affected all ...
— Anomalies and Curiosities of Medicine • George M. Gould
... manner of treatment. Every newspaper gives practically the same facts about a wedding but each individual newspaper has a method of its own of writing up those facts. One thing that is always true of social news reporting is that the amount of space given to social items varies inversely with the importance of the newspaper and the size of the city in which it is printed. A little country weekly or semi-weekly in a small town does not hesitate to run two columns or more on Sadie Smith's wedding. The report runs into minute details and anecdotes that all of the "Weekly's" ...
— Newspaper Reporting and Correspondence - A Manual for Reporters, Correspondents, and Students of - Newspaper Writing • Grant Milnor Hyde
... square equal to a given circle, has a cube equal to the sphere on the same diameter: that is, in old mathematics, the diameter is to the circumference as 9 to 16! Again, admitting that the velocities of planets in circular orbits are inversely as the square roots of their distances, that is, admitting Kepler's law, he manages to prove that gravitation is inversely as the square root of the distance: and suspects magnetism of doing the difference ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan
... visitors to the country, quite apart from the welfare of its more permanent inhabitants. At first sight this question seems to present a problem of a well-known order—to find the point of maximum pleasure to mankind in a case where the intensity of the pleasure varies inversely as its extension—where each fresh person who shares it diminishes pro tanto the pleasure of the rest. But, as Wordsworth has pointed out, this is not in reality the question here. To the great mass of cheap excursionists the characteristic scenery of the Lakes is in itself hardly a ...
— Wordsworth • F. W. H. Myers
... plates running out to nearly six diameters from the moon's limb. Yet she used a Dallmeyer lens of only one and a half inches aperture. Her success accorded perfectly with Professor Wadsworth's conclusion that effectiveness in delineation by slight contrasts of luminosity varies inversely with aperture. Triple-coated plates, and a comparatively long exposure of twenty seconds, contributed to a result unlikely, for some time, to be surpassed. The corona of 1898 presented a mixed aspect. The polar plumes due at minimum were combined ...
— A Popular History of Astronomy During the Nineteenth Century - Fourth Edition • Agnes M. (Agnes Mary) Clerke
... before the horse, turn the tables. Adj. inverted &c v.; wrong side out, wrong side up; inside out, upside down; bottom upwards, keel upwards; supine, on one's head, topsy-turvy, sens dessus dessous [Fr.]. inverse; reverse &c (contrary) 14; opposite &c 237. top heavy. Adv. inversely &c adj.; hirdy-girdy^; heels over head, ...
— Roget's Thesaurus of English Words and Phrases: Body • Roget
... lias contested the priority of discovery and strenuously claimed a share in it. Halley eventually urges Newton to consider Hooke's claim in some of the details, and Newton yields to the extent of admitting that the great fact of gravitational force varying inversely as the square of the distance had been independently discovered by Hooke; but he includes also Halley himself and Sir Christopher Wren, along with Hooke, as equally independent discoverers of the same principle. To the twentieth-century consciousness it seems odd to hear Wren ...
— A History of Science, Volume 5(of 5) - Aspects Of Recent Science • Henry Smith Williams
... possibly, by locality or privileges, be excepted from certain taxes, but no taxation ever can be just that is thrown upon some particular class only; and if that class happen to be small and the demand great, the injustice done is directly proportionable to the greatness of the exaction, and inversely to the number of the persons who are the objects of it: these are clear, irrefragable, and eternal principles. But if, instead of exacting a part by a proportionable rate, the prince should go further and attempt to shake the whole mass ...
— The Works of the Right Honourable Edmund Burke, Vol. XII. (of XII.) • Edmund Burke
... After deflection it returns towards its equilibrium position at a rate depending in general terms on the elastic forces brought into play, directly, and on the effective moment of inertia of the rod, inversely (see Rayleigh, Sound, vol. ii. chap. viii.) If the mass of the arrow is negligible compared with the bow, the rate at which the arrow moves is practically determined by that attained by the end of the bow, which is a maximum in crossing its ...
— On Laboratory Arts • Richard Threlfall
... the congregated children of Hellas, to the whole representative family of civilisation, that loveliest of earthly narratives, which, in nine musical cantos, unfolded the whole luxury of human romance as at the bar of some austere historic Areopagus, and, inversely again, which crowded the total abstract of human records, sealed[11] as with the seal of Delphi in the luxurious pavilions ...
— The Uncollected Writings of Thomas de Quincey, Vol. 2 - With a Preface and Annotations by James Hogg • Thomas de Quincey
... be fixed at O. If any figure is traced by P, Q will trace the inverse figure, but turned round O through the constant angle POQ. In the diagram forces Pp, Qq are balanced by the force Co at the fixed point. The forces Pp and Qq are necessarily inversely as OP and OQ, and make ...
— Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 3 - "Destructors" to "Diameter" • Various
... from a light the illumination which it receives diminishes rapidly, for the strength of the illumination is inversely proportional to the square of distance of the object from the light. Our ancestors with a candle at a distance of one foot from a book were as well off as we are with an incandescent light four ...
— General Science • Bertha M. Clark
... would even seem that in some cases the finest openings and invitations for what is best in man must operate inversely, and elicit only what is worst in him. Every profoundest truth, when uttered with fresh power in history, polarizes men, accumulating atheism at one pole, while collecting faith and resolve at the other. As the sun bleaches some surfaces into whiteness, but ...
— Atlantic Monthly, Volume 14, No. 84, October, 1864 - A Magazine Of Literature, Art, And Politics • Various
... with the previous article, the investigation has been based on the assumption that the temperatures produced by radiant heat at given distances from its source are inversely as the diffusion of the rays at those distances. In other words, the temperature produced by solar radiation is as ...
— Scientific American Supplement, No. 458, October 11, 1884 • Various
... occurred to Herapath that if they turned it upside down this defect would operate in the other direction, and hold the books securely against the wall. So, having wrenched the nails out, and been fortunate enough to find a space on the wall not gaping with wounds in the plaster, they re-erected it inversely. But, alas! although the top shelf now tilted back at the wall, the bottom shelf swung forward an inch or two and let its contents out behind with the same regularity and punctuality with which it had previously ejected ...
— The Master of the Shell • Talbot Baines Reed
... the planet. Newton presently showed by a most superb effort of mathematical reasoning, that if the orbit of a planet were an ellipse and if the sun were at one of the foci of that ellipse, the intensity of the attractive force must vary inversely as the square of the planet's distance. If the law had any other expression than the inverse square of the distance, then the orbit which the planet must follow would not be an ellipse; or if an ellipse, it would, at all events, not ...
— Great Astronomers • R. S. Ball
... and in Tennyson's life by his son we are told that at times the poet had a similar experience. We come into touch with the absolute exactly in proportion as we withdraw ourselves from the relative: they vary inversely to each other. ...
— The Edinburgh Lectures on Mental Science • Thomas Troward
... principle that all bodies attract each other with forces directly as their masses, and inversely as the squares of their distances, Newton showed that all the movements of the celestial bodies may be accounted for, and that Kepler's laws might all have been predicted—the elliptic motions—the ...
— History of the Conflict Between Religion and Science • John William Draper
... bullocks in each case in two parts—one part to eat the increase, and the other the accumulated grass. The first will vary directly as the size of the field, and will not depend on the time; the second part will also vary directly as the size of the field, and in addition inversely with the time. We find from the farmer's statements that 6 bullocks keep down the growth in a 10-acre field, and 6 bullocks eat the grass on 10 acres in 16 weeks. Therefore, if 6 bullocks keep down the growth on 10 acres, 24 will keep down the ...
— The Canterbury Puzzles - And Other Curious Problems • Henry Ernest Dudeney
... be a definite law of the development of Socialism which applies both to the individual and to the group. The law is this: The creedalism and immoderateness of Socialism, other things being equal, vary inversely with its age and responsibility. The average Socialist recruit begins as a theoretical impossibilist and develops gradually into a constructive opportunist. Add a taste of real responsibility and he is hard to distinguish ...
— Socialism As It Is - A Survey of The World-Wide Revolutionary Movement • William English Walling
... Shakespeare, or Milton, or Burns, or Wordsworth can express his whole mode of feeling within a few lines. An ill-balanced nature reveals itself by a discord, as an illogical mind by a fallacy. A man need not compose an epic on a system of philosophy to write himself down an ass. And, inversely, a great mind and a noble nature may show itself by impalpable but recognisable signs within the 'sonnet's scanty plot of ground.' Once more, the highest poetry must be that which expresses not only the richest but the healthiest nature. Disease means an absence or a want of balance of certain ...
— Hours in a Library - New Edition, with Additions. Vol. II (of 3) • Leslie Stephen
... propounds the principle that "every particle of matter in the universe is attracted by, or gravitates to, every other particle of matter with a force inversely proportional to the squares of their distances." From the second law of Kepler, namely, the proportionality of the areas to the times of their description, Newton inferred that the force which keeps a planet in its orbit is always directed to the sun. From the first law of ...
— The World's Greatest Books, Vol IX. • Edited by Arthur Mee and J.A. Hammerton
... please your Honor—my young friend frankly pleads guilty." He paused as though the majesty of the law could ask no more. "He is a young man of naturally high and somewhat—naturally, too, no doubt—bibulous spirits. Homoepathically—if inversely—the result was logical. In the untrammelled life of the liberty-breathing mountains, where the stern spirit of law and order, of which your Honor is the august symbol, does not prevail as it does here—thanks to your Honor's wise and just dispensations—the lad has, I may ...
— A Knight of the Cumberland • John Fox Jr.
... against enclosure very forcibly.[446] The writer's opinion was that it was clearly to the landowner's gain to promote enclosures, but that the impropriator of tithes reaped most benefit and the small freeholder least, because his expenses increased inversely to the smallness of his allotment. As to diminution of employment, he reckoned that enclosed arable employed about ten families per 1,000 acres, open field arable twenty families, a statement opposed to the opinion of nearly all the agricultural writers of the seventeenth and eighteenth centuries. ...
— A Short History of English Agriculture • W. H. R. Curtler
... to bear in mind the fact that the inductive effects vary inversely as the square of the distance between the two spirals, when parallel to each other; and that the induced current in B is proportional to the number of reversals of the battery current passing through spiral ...
— Scientific American Supplement, No. 417 • Various
... it; this shews that the particles may be forced from each other to a small distance by less power, than is necessary to make them recede to a greater distance; in this circumstance perhaps the attraction of cohesion differs from that of gravitation, which exerts its power inversely as the squares of the distance. Hence it appears that if the innermost particles of a steel bar, by cooling the external surface first, are kept from approaching each other so nearly as they otherwise would do, that they become in ...
— The Botanic Garden - A Poem in Two Parts. Part 1: The Economy of Vegetation • Erasmus Darwin
... differ; the males being in all cases, excepting one, the cheaper. On an average of the prices of the 113 species, the price of the male to that of the female is as 100 to 149; and this apparently indicates that inversely the males exceed the females in the same proportion. About 2000 species or varieties of moths (Heterocera) are catalogued, those with wingless females being here excluded on account of the difference ...
— The Descent of Man and Selection in Relation to Sex • Charles Darwin
... Florentine painters in the latter half of the fifteenth century. But progress being one of the essential characteristics of the art at this period, as in all others, it is not surprising that the order of their fame coincides (inversely) pretty nearly with that of their date. First, ANTONIO POLLAIUOLO; second, SANDRO BOTTICELLI; and ...
— Six Centuries of Painting • Randall Davies
... Meuse and Marne; and Metz, held by a garrison of suitable size, might have defied the efforts of a large besieging army for fully six months. These conjectures are not fanciful. The duration of the food supply of a garrison cut off from the outside world varies inversely with the size of that garrison. The experiences of armies invading and defending the East of France also show with general accuracy what might have been expected if the rules of sound strategy had been observed. It was the actual course of events which ...
— The Development of the European Nations, 1870-1914 (5th ed.) • John Holland Rose
... districts the advance must, in the nature of things, be from production to consumption, and with urban workers inversely from a control over distribution to a mastery over production. I have often wondered over the blindness of workers in towns in Ireland, who have made so little use in the economic struggle of the freedom they have to spend ...
— National Being - Some Thoughts on an Irish Polity • (A.E.)George William Russell
... the program than upon the music? If it does, what is the use of the music, if it does not, what is the use of the program? Does not its appeal depend to a great extent on the listener's willingness to accept the theory that music is the language of the emotions and ONLY that? Or inversely does not this theory tend to limit music to programs?—a limitation as bad for music itself—for its wholesome progress,—as a diet of program music is bad for the listener's ability to digest anything beyond the sensuous (or physical-emotional). To a great extent this depends ...
— Essays Before a Sonata • Charles Ives
... intensively, or gradually different forms of motion; not in their innermost being different.... Our will changes many kinds of motion into heat, makes {137} cold metal to be red-hot simply by hammering.... Likewise inversely, as the law of the conservation of force must require, a part of the eternal heat of the metal can be now and forever transposed into the living motion of our soul." This whole manner of investigation and proof is one of those numerous unconscious logical fallacies which, introduced by ...
— The Theories of Darwin and Their Relation to Philosophy, Religion, and Morality • Rudolf Schmid
... race of men, who master life, Their victory being inversely as their strife; Who capture by refraining from pursuit; Shake not the bough, yet load their hands with fruit; The earth's high places who attain to fill, By most indomitably sitting still. While others, full upon the fortress hurled, Lay ...
— The Poems of William Watson • William Watson
... constant intermixture of the different parts of the stream; when the current ceases the mud sinks to the bottom, the earthy particles composing it, being heavier than water, would sink in still water in times inversely proportional to their size and specific gravity. This, I think, is a satisfactory explanation of the manner in which the ice formed at the surface finds its way to the bottom; its adherence to the bottom, I think, is explained by the phenomenon ...
— Scientific American Supplement, No. 288 - July 9, 1881 • Various
... there are no degrees, no intermediate stages."[Footnote: Matter and Memory, p. 315 (Fr. p. 264).] If we maintain that recollection is merely a weakened form of Perception we must note the consequences of such a thesis. "If recollection is only a weakened Perception, inversely, Perception must be something like an intenser Memory. Now, the germ of English Idealism is to be found here. This Idealism consists in finding only a difference of degree and not of kind, between the reality of the object perceived, and the ideality of the object conceived."[Footnote: Matter and ...
— Bergson and His Philosophy • J. Alexander Gunn
... all round. The shop opposite is done for. The increased receipts of the Green Box caused a corresponding decrease in the receipts of the surrounding shows. Those entertainments, popular up to that time, suddenly collapsed. It was like a low-water mark, showing inversely, but in perfect concordance, the rise here, the fall there. Theatres experience the effect of tides: they rise in one only on condition of falling in another. The swarming foreigners who exhibited their talents and their trumpetings on the neighbouring platforms, seeing themselves ruined ...
— The Man Who Laughs • Victor Hugo
... (1) It is inversely proportional to the width for beams of the same length and depth. If the width is tripled the deflection ...
— The Mechanical Properties of Wood • Samuel J. Record
... not in the direction of a pull but must be looked upon as a pushing force. Gravitation is common to all matter; in common language, every particle attracts every other particle with a force directly proportional to its mass, and inversely to the square of its distance; it is a very weak force compared with others we know, and difficult to measure except when a large mass of matter is involved. Perhaps this will be clearer, and not far from the truth, ...
— Science and the Infinite - or Through a Window in the Blank Wall • Sydney T. Klein
... observed, that the sum of the cavities of the branches from any trunk exceeded the cavity of the trunk: and from the principles of hydrostatics, the velocities of fluids, propelled by the same force, in tubes of different diameters, are inversely as the squares of the diameters, so that in a tube of double the diameter, the velocity will only be one fourth; in one of the triple, only one ninth: and since the arteries may be looked upon as conical, it is evident that ...
— Popular Lectures on Zoonomia - Or The Laws of Animal Life, in Health and Disease • Thomas Garnett
... his inability to determine what this force was, but by observations and calculations made with the greatest care, he ascertained that its action upon matter was proportional to its mass directly, and to the square of its distance inversely; and, with the requisite data and the principles of pure geometry, he demonstrated that this mysterious force—utterly inapproachable by human conception in its mystery—not only governs and controls the movements of ...
— Life: Its True Genesis • R. W. Wright
... demonstrate it that I was engaged on the spot to provide the bi-monthly banquet of the Chamber of Commerce, the president of which rather seriously proposed that it now be made a monthly affair, since they would no longer be at the mercy of a hotel caterer whose ambition ran inversely to his skill. Indeed, after the pudding, I was this day asked to become a member of the body, and I now felt that I was indubitably one of them—America and I had taken each other as seriously ...
— Ruggles of Red Gap • Harry Leon Wilson
... North and South poles, respectively. The longitudes are reckoned from some point either to East or West: the latitudes are reckoned North and South, from the equator. In going from East to West, or inversely, the longitude changes, but in passing from North to South of any spot, it is ...
— Astronomy for Amateurs • Camille Flammarion
... his cabin, and he himself stood on the upper promenade deck watching the passengers as they came on board. He was an observant man, and it interested him to note the expression of each new face that appeared; for the fact of starting on a voyage across the ocean is apt to affect people inversely as their experience. Those who cross often look so unconcerned that a casual observer might think they were not to start at all, whereas those who are going for the first time are either visibly flurried, or are posing to look ...
— The Primadonna • F. Marion Crawford
... meant what constitutes the real affluence of the labourer, the quantity of produce which he receives in exchange for his labour; the proposition that profits vary inversely as wages, will be obviously false. The rate of profit (as has been already observed and exemplified) does not depend upon the price of labour, but upon the proportion between the price of labour and the produce of it. If the produce of labour is large, ...
— Essays on some unsettled Questions of Political Economy • John Stuart Mill
... velocity carries first this way, then that way: but the two powers do not act evenly and steadily together; they now combine with, and now oppose each other; now increase their influence together, and now augment and diminish it inversely and alternately; and so the suspended body is tossed backwards and forwards between them, and made to perform ...
— Chambers's Edinburgh Journal, No. 457 - Volume 18, New Series, October 2, 1852 • Various
... successful. The same relation of properties has enabled incandescent-lamp signals to be connected direct to lines without relays, but compensated against too great a current by causing the resistance in series with the lamp to be increased inversely as the resistance of the filament. Employment of a "ballast" resistance in this way is referred to in Chapter XI. In Fig. 27 is shown its relation to a signal lamp directly in the line. 1 is the carbon-filament lamp; 2 is the ballast. The latter's conductor ...
— Cyclopedia of Telephony & Telegraphy Vol. 1 - A General Reference Work on Telephony, etc. etc. • Kempster Miller
... in them. We can trace this idea very clearly in Esto Perpetua, where he speaks repeatedly of the Berbers, as having fallen easily under the power of Rome because they are "of our own kind." We can trace it again inversely in The Path to Rome, in ...
— Hilaire Belloc - The Man and His Work • C. Creighton Mandell
... used to denote nothing more than the general fact, ascertained by experience, that all bodies near the surface of the earth tend to its centre with a velocity proportioned directly to their mass, and inversely to the square of their distance; and when it is employed in this sense, it determines nothing as to the "cause" which is in operation,—it affirms merely a fact, or a fact reduced to a formula, and confirmed by universal experience. ...
— Modern Atheism under its forms of Pantheism, Materialism, Secularism, Development, and Natural Laws • James Buchanan
... the expansion and abundance of creative life; but at every remove its reflex is nearness, a bond of attraction, insphering and curving, making orb and orbit. While in space this attraction is diminished—being inversely as the square of the distance—and so there is maintained and emphasized the appearance of suspension and isolation, yet in time it gains preponderance, contracting sphere and orbit, aging planets and suns, and accumulating destruction, which at the point of annihilation becomes ...
— Library of the World's Best Literature, Ancient and Modern, Vol. 1 • Charles Dudley Warner |
