"Algebraic" Quotes from Famous Books
 ... given by the bending osier and the waving grain,—also by the few who have seen full drawings of all the forms. And the mathematician finds in it a new beauty, from its marvellous correspondence with the motions of a pendulum,—the algebraic expression of the two ...
— Atlantic Monthly, Vol. 5, No. 30, April, 1860 • Various
... Sister Theresa was considered a possible match for my grandfather in my youth. She and I are hardly contemporaries. And the other lady with the fascinating algebraic climax to her name,—she, too, is impossible; it seems that I can’t get the money by marrying her. I’d better let her take it. She’s as poor as the devil, ...
— The House of a Thousand Candles • Meredith Nicholson
... belong to those blue-stockings, and I have met many such, who, as soon as you approach them, throw at your head the name of a poet like a bomb-shell, and exhibit the wealth of their arsenal by firing a philosophical cannon, or algebraic chain shot. ...
— International Miscellany of Literature, Art and Science, Vol. 1, - No. 3, Oct. 1, 1850 • Various
... quantity, therefore, if rigorously analyzed, will indicate a priori the natural and impassable boundaries of the science; while a subsequent examination of the quantities called infinite in the mathematical sense, and of the algebraic symbol of infinity, will be seen to verify the results of this ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker
... before essayed in any similar work. The closeness and brevity of his descriptions make it one of the dryest productions ever issued on geological science, scarcely omitting the work of Humboldt, in which he sought to represent the whole of geology by algebraic symbols. Percival's work actually demands, and would richly repay, a translation into the vernacular of descriptive geology,—the language and mode of illustration employed by Murchison and Hitchcock. In its present form, it is safe to say, it has never found a single reader ...
— Atlantic Monthly, Vol. 4, No. 21, July, 1859 • Various
... azote in atmospheric air, and he thinks that he has fully succeeded, by a process not attended with much difficulty. He details some unexpected results from his experiments. Cauchy made profound reports (from committees) respecting the Researches on Algebraic Functions by M. Puiseux, and the studies of Crystallography by M. Bravais. Papers on the speed of sound in iron, and on respiration in plants, and new schemes of atmospheric railroads were submitted. Attention was given to M. Burg's new observations concerning ...
— The International Monthly, Volume 3, No. 2, May, 1851 • Various
... small numeral in a mathematical formula. But let me see a child abused, and the red blood will rush to my head from rage. And when I look and look upon the labour of a moujik or a labourer, I am thrown into hysterics for shame at my algebraic calculations. There is—the devil take it!—there is something incongruous, altogether illogical, but which at this time is stronger than human reason. Take to-day, now ... Why do I feel at this minute as though I had robbed a sleeping man or deceived a three-year-old child, ...
— Yama (The Pit) • Alexandra Kuprin
... bringing in a verdict of guilty, they attempted reconciliation in various ways. Indian speculation invented or elaborated the theory of transmigration, in which the Karma or soul-character passed from individual to individual, the algebraic sums of happiness in the whole chain being proportional to merit. The Stoics were metaphysicians and imagined an immanent, omnipotent, and infinitely beneficent First Cause. Evil was incompatible with this, and so they ...
— Thomas Henry Huxley; A Sketch Of His Life And Work • P. Chalmers Mitchell
... the two students were diligently at work, Sarah in the role of preceptress, hearing Amanda's French verbs, or helping to discover the perplexing value of X in an algebraic equation. Only occasionally did the ...
— Blue Bonnet's Ranch Party • C. E. Jacobs
... OBJECT CLEAR AND DEFINITE.—Whatever attention centers upon stands out sharp and clear in consciousness. Whether it be a bit of memory, an "air-castle," a sensation from an aching tooth, the reasoning on an algebraic formula, a choice which we are making, the setting of an emotion—whatever be the object to which we are attending, that object is illumined and made to stand out from its fellows as the one prominent thing in the mind's eye while the attention rests on it. It is like the one building ...
— The Mind and Its Education • George Herbert Betts
... mud, betray nothing, and represent everything. Provided that good society knows the amount of your fortune, you are classed among those figures which equal yours, and no one asks to see your credentials, because everybody knows how little they cost. In a city where social problems are solved by algebraic equations, adventurers have many chances in their favor. Even if this family were of gypsy extraction, it was so wealthy, so attractive, that fashionable society could well afford to overlook its little mysteries. But, unfortunately, the ...
— Sarrasine • Honore de Balzac
... would not be in the nature of an [Greek: eranos]. Now not only Hobbes and Rousseau, but Locke and a great multitude of modern Englishmen with him, hold that the power of the State is an aggregate, the algebraic sum of the powers whereof the component members would have stood possessed, had they lived in what is called, by a misleading phrase, "the state of nature," that is, the condition of men not subject to civil authority. These powers,—either, ...
— Moral Philosophy • Joseph Rickaby, S. J.
... upon this very name. Why? Its origin went back to old times; and being venerable they gloried therein; though they disclaimed its present applicability to any of their race; showing, that words are but algebraic signs, conveying no meaning except what you please. And to be called one thing, is oftentimes to ...
— Mardi: and A Voyage Thither, Vol. I (of 2) • Herman Melville
... write the formula of any novel in psycho-chemic terms, or draw its graph in psycho-mechanic terms: or write, in romantic terms, the circumstances and sequences of any chemic or electric or magnetic reaction: or express any historic event in algebraic terms—or see Boole and Jevons ...
— The Book of the Damned • Charles Fort
... arithmetical difficulties had confused and sickened him. But now he worked with indefatigable industry on an imaginary slate; put his postulate, counted probabilities, allowed for chances, added, deducted, multiplied, and unknowingly performed algebraic feats, till his brows were stiff with frowning, and his brain craved ...
— The Shaving of Shagpat • George Meredith
... "Enter!" answered me. I did so and found Captain Nemo busy with calculations in which there was no shortage of X and other algebraic signs. ...
— 20000 Leagues Under the Seas • Jules Verne
... suppute[obs3], add, subtract, multiply, divide, extract roots. algebraize[obs3]. check, prove, demonstrate, balance, audit, overhaul, take stock; affix numbers to, page. amount to, add up to, come to. Adj. numeral, numerical; arithmetical, analytic, algebraic, statistical, numerable, computable, calculable; commensurable, commensurate; incommensurable, incommensurate, innumerable, unfathomable, infinite. Adv. ...
— Roget's Thesaurus
... and with equal success. His position as a geometer is perhaps better understood from the assertion made respecting him by a modern mathematician, that he came as near to the discovery of the Differential Calculus as can be done without the aid of algebraic transformations. Among the special problems he treated of may be mentioned the quadrature of the circle, his determination of the ratio of the circumference to the diameter being between: 3.1428 and 3.1408, the true value, as is now known, being 3.1416 nearly. He also wrote on Conoids ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper
... deadens the will without intelligence succumbing, though sorely disturbed. Death, which the dramatists had so much abused, he had in some manner changed and made more poignant, by introducing an algebraic and superhuman element; but in truth, it was less the real agony of the dying person which he described and more the moral agony of the survivor, haunted at the death bed by monstrous hallucinations engendered by grief ...
— Against The Grain • Joris-Karl Huysmans
... should have been somewhat harmful with respect to the secondary schools, since the interests of the former seemed to be best met by restricting most of the energies of the secondary teachers of mathematics to the thorough drilling of their students in dexterous formal manipulations of algebraic symbols and the demonstration of fundamental abstract theorems ...
— College Teaching - Studies in Methods of Teaching in the College • Paul Klapper
... of physical astronomy better than Newton, and rival La Grange in the management of the differential calculus. But as, unluckily, the world which he visits, and in which we live, is neither a geometric world nor an algebraic world, a world of conic sections or fluxions; but a world of plains and mountains, of lakes and rivers, of men and women, flesh and blood—he finds his knowledge of little or no avail. He takes scarce any interest in the sublunary or contemptible ...
— Blackwood's Edinburgh Magazine, Volume 62, Number 361, November, 1845. • Various
... categories,—fast or slow. Man's chief end was to be a brick. When the great calamities of life overtook their friends, these last were spoken of as being a good deal cut up. Nine-tenths of human existence were summed up in the single word, bore. These expressions come to be the algebraic symbols of minds which have grown too weak or indolent to discriminate. They are the blank checks of intellectual bankruptcy;—you may fill them up with what idea you like; it makes no difference, for there are no funds in the treasury upon which they are drawn. Colleges ...
— Atlantic Monthly, Volume 2, Issue 11, September, 1858 • Various
... because the studies of the modern languages and history, the endless practising of etudes and sonatas, the stooping wearily over some delicate embroidery, is less taxing to the nervous system than Latin and Greek, and the working out of algebraic problems? I am not prepared to say. But grant that a small part of the solution can be found in this difference, there are yet other and deeper causes at work. One of them is that the young German girl, while at school, makes study ...
— The Education of American Girls • Anna Callender Brackett
... those and other works of note He was not at all a "people's man," Though public, for the works he wrote Were not that sort the people can Admire or read; they were Mathematic The most part, some were Hydrostatic; But Algebraic, in the main, And full of a, b, c, and n— And other letters which perplex— The last was full of double x! In fact, such stuff as one may easily Imagine, didn't go down greasily, Nor calculated to produce Such heat as "cooks the public goose," And does it of so ...
— The Germ - Thoughts towards Nature in Poetry, Literature and Art • Various
... rang'd, Pile above pile, crystalline vessels shine: Attendant slaves with eager strides advance, And, after homage paid, bawl out aloud Words unintelligible, noise confus'd: She knows the jargon sounds, and straight describes, In characters mysterious, words obscure: More legible are algebraic signs, Or mystic figures by magicians drawn, When they invoke the ...
— The Humourous Poetry of the English Language • James Parton
... dehumanized, disintegrated, decomposed, and diabolized in passing through the minds of the half-civilized banditti who have peopled and unpeopled the world for some scores of generations, that it has become a mere algebraic x, and has no fixed value whatever as a ...
— The Poet at the Breakfast Table • Oliver Wendell Holmes, Sr.
... and O. declare that x[y] and xy have denotation, or stand for something. Here, however, the resemblance to Hamilton's system ceases; for the Symbolic Logic, by operating upon more than two terms simultaneously, by adopting the algebraic signs of operations, ,-, x, / (with a special signification), and manipulating the symbols by quasi-algebraic processes, obtains results which the common Logic reaches (if at all) with much greater ...
— Logic - Deductive and Inductive • Carveth Read
... though she was nearing the dignity of graduation. She had no special taste for study, but she cherished the Yankee reverence for education, and although it was not quite clear to her how Latin declensions and algebraic symbols were to help her in after-life, she committed them to memory with a very good grace, and enjoyed all the satisfaction ...
— A Bookful of Girls • Anna Fuller
... which he drowned his thought, his apparent lack of logic, attributed to defects of education, were in reality assumed, and will be sufficiently explained by certain events in the following history. Four sentences, precise as algebraic formulas, sufficed him usually to grasp and solve all difficulties of life and commerce: "I don't know; I cannot; I will not; I will see about it." He never said yes, or no, and never committed himself to writing. If people ...
— Eugenie Grandet • Honore de Balzac
... thought of establishing such a system, in which geometrically opposite facts—namely, two lines (or areas) which are opposite IN SPACE give ALWAYS a positive product—ever come into anybody's head till I was led to it in October, 1843, by trying to extend my old theory of algebraic couples, and of algebra as the science of pure time? As to my regarding geometrical addition of lines as equivalent to composition of motions (and as performed by the same rules), that is indeed essential in my theory but not peculiar to it; on the contrary, ...
— Great Astronomers • R. S. Ball
... tired, he lay down on an extension chair. Then, touching a knob, he established communication with the Central Concert Hall, whence our greatest maestros send out to subscribers their delightful successions of accords determined by recondite algebraic formulas. Night was approaching. Entranced by the harmony, forgetful of the hour, Smith did not notice that it was growing dark. It was quite dark when he was aroused by the sound of a door opening. "Who is there?" he ...
— In the Year 2889 • Jules Verne and Michel Verne
... was Jerome Cardan, the Italian scholar and physician, the father of algebraic science (you all recollect Cardan's rule,) believer in dreams, prognostics, astrology; who died, too, miserably enough, in ...
— Historical Lectures and Essays • Charles Kingsley
... Laws without a lawgiver, matter without spirit is a gospel of dirt. All that is good, generous, wise, right ... who or what could by any possibility have given it to me, but One who first had it to give! This is not logic, it is axiom.... Poor "Comtism, ghastliest of algebraic specialities."... Canst thou by searching find out God? I am not surprised thou canst not, vain fool. If they do abolish God from their poor bewildered hearts, there will be seen such a world ...
— Thomas Carlyle - Biography • John Nichol
... history of mathematics are the calculations published by the weather-prophet of the Express. Arithmetic turns pale when she glances at them, and, striking her multiplication table with her algebraic knuckles, demands to know why the Express does not add ...
— Punchinello, Vol. 1, No. 18, July 30, 1870 • Various
... strong case here, as {182} they would have also in regard to the liking for machinery. Still, the mathematical individual would not be convinced, for he would testify that numbers, etc., made a direct appeal to him. Numbers, geometric forms, and algebraic transformations are fascinating to him, and there is something beautiful, to his mind, in the relationships that are discovered. The same could be said of the liking for plant or animal life that appears in the "born biologist". ...
— Psychology - A Study Of Mental Life • Robert S. Woodworth
... slowly in his review, I saw in my mind's eye the algebraic equation of Snow, the equals sign, and the answer in ...
— Waifs and Strays - Part 1 • O. Henry
... algebraic problems Jose saw the working of a rule infinite in its adaptation. She knew not what the answers should be, yet she took up each problem with supreme confidence, knowing that she possessed and rightly understood the rule for correctly solving it. She knew that speculation regarding the ...
— Carmen Ariza • Charles Francis Stocking
... having been able to study all the minutiae of racing. [Talking of that, how annoying it is—or was—when one cared about things of great moment, to take up an evening newspaper's last edition and read in large type "Official Scratchings," with a silly algebraic formula underneath about horses being withdrawn from some race, when you thought it was a bear fight in the Cabinet.] Vivie gathered from her guide that to-day would be rather a special Derby, because ...
— Mrs. Warren's Daughter - A Story of the Woman's Movement • Sir Harry Johnston
... moment to the shining isle, the green sward, the singing waves, the sunlight on the green jalousies, but strangely his mind could see nothing. He could no longer make a picture for himself. Symbols were barren algebraic formulae. Not enchanters' words. No light. No glamour. Only strange sounds reverberating in the gray caverns of his head.... Once in the dead past he could see the Isle of Pipers—no more! It wasn't his past that was dead. The past lived. ...
— The Wind Bloweth • Brian Oswald Donn-Byrne
... especially concerns us. Madame Duclos sent her daughter unattended to the museum, but she did not direct the shaft which killed her. That was the work of our friend X. Let us then make sure that we fit the right man to this algebraic symbol, and trust to her testimony ...
— The Mystery of the Hasty Arrow • Anna Katharine Green
... that the laws of correct thinking can be expressed in algebraic notation, and, thus expressed, will be subject to all the mathematical laws of an algebra whose symbols bear the uniform value of unity or nought (1 or 0)—a limitation required by the fact that pure logic deals in notions of quality ...
— The Religious Sentiment - Its Source and Aim: A Contribution to the Science and - Philosophy of Religion • Daniel G. Brinton
... excuffa ab Opere reftitut Mathematic/Analyfeos, seu, Algebraic nou. / Tvronis,/ Apud Iametivm Mettayer Typographium Regium. / Anno 1591.' / folio. A Supplement appeared in 1593. Seven years later there came out under the auspices of Ghetaldi, a young Italian nobleman ...
— Thomas Hariot • Henry Stevens
... disciples knit their brows O'er algebraic signs; They build their byres, they milk their cows On ...
— Punch, or the London Charivari, Vol. 147, July 29, 1914 • Various
... to PROVE all this by his interpretation of the Book of Revelation; by labored calculations based upon arithmetical principles, and algebraic formulae until then unknown, but which appeared mystical and appalling from the fact that they were incomprehensible. The book was written in a style well calculated to perplex, astonish, or terrify the readers, especially those who ...
— Jack in the Forecastle • John Sherburne Sleeper
... used to designate quantities, lines, etc., in algebraic, geometrical, and similar matter, and in explanation ...
— The Uses of Italic - A Primer of Information Regarding the Origin and Uses of Italic Letters • Frederick W. Hamilton
... formula by which Stokes made his calculation. It is a relatively simple algebraic one, but need not be repeated here. For us it suffices that with the aid of this formula, by merely measuring the actual descent of the top of a vapor cloud, Professor Thompson was able to find the volume of the drops and thence the number of particles. The number of particles being known, ...
— A History of Science, Volume 5(of 5) - Aspects Of Recent Science • Henry Smith Williams
... promenade or the proper place to put a sofa. This logic is extremely simple, inasmuch as it consists in never expressing but one idea, that which contains the expression of their will. Like everything pertaining to female nature, this system may be resolved into two algebraic terms—Yes: no. There are also certain little movements of the head which mean so much that they may take the place ...
— Analytical Studies • Honore de Balzac
... law of which one of your chemists might perhaps give you the mathematical formula, and which the next century will no doubt express in a statement full of x, a, and b, mixed up with little algebraic signs, bars, and quirks that give me the colic; for the finest conceptions of mathematics do not add much to the ...
— Massimilla Doni • Honore de Balzac
... chemical equations are quantitative, it must be clearly understood that they are not algebraic. A glance at ...
— An Elementary Study of Chemistry • William McPherson
... say, as we certainly shall say one day, either here or yonder, unless our lives be thus part of the divine plan, 'What a fool I was! Seventy years of toiling and moiling and effort and sweat, and it has all come to nothing; like a long algebraic sum that covers pages of intricate calculations, and the pluses and minuses just balance each other; and the net result is a great round nought.' So let us remember the twofold process, and let it stir us to ...
— Expositions of Holy Scripture - Genesis, Exodus, Leviticus and Numbers • Alexander Maclaren
... Euclid, and were enraptured with it. It is a little singular that all this time you never showed any self-esteem; or spoke of getting into employment at some future day, among the learned. The pleasure of intellectual exercise in demonstrating or analyzing a geometrical problem, or solving an algebraic equation, seemed to be your only object. No Junior, Seignour or Sophomore class, with annual honors, was ever, I suppose, presented to ...
— The Reminiscences of an Astronomer • Simon Newcomb
... me," he muttered, as he turned away. He felt as he had when puzzling over the unknown quantity in an algebraic equation. It was not until he was sitting in meeting, looking forward at Lucina's fair profile, cut in clear curves like a lily, that the ...
— Jerome, A Poor Man - A Novel • Mary E. Wilkins Freeman
... was as conclusively indulging in the argumentum in circulo as if he had said, "Life is the antithesis of what is not life." This would be as luminous a definition as that which should make Theism the opposite of Anti-theism, or the Algebraic statement x-y the antithesis of xy—one of no definitional value so long as there is no known quantity expressed in ...
— Life: Its True Genesis • R. W. Wright
... twice in the course of an existence, the rest of the sojourn upon earth being devoted to a sublimation of our thought. But always wise, sensible, sagacious, rational; always in wig and spectacles; always algebraic and mathematical; doctrinal and didactic; ever to sit like FRANKLIN'S portrait, with the index fixed upon 'causality;' one might as well be a petrified 'professor,' or a WILLIAM PENN bronzed upon a pedestal. There is nothing so good, either in itself or ...
— Knickerbocker, or New-York Monthly Magazine, March 1844 - Volume 23, Number 3 • Various
... that meaning of the mind which is behind the meaning of the words. It has sometimes seemed to me that in England there was a growing tendency to curtail language into a mere convenience, and to defecate it of all emotion as thoroughly as algebraic signs. This has arisen, no doubt, in part from that healthy national contempt of humbug which is characteristic of Englishmen, in part from that sensitiveness to the ludicrous which makes them so shy of expressing feeling, but in part also, it is to be feared, ...
— The Complete Poetical Works of James Russell Lowell • James Lowell
... a complex but homogeneous wave. If they have to each other a complicated ratio, such as 500:504, the air- waves will not only not coalesce, but four times in the second the through of one wave will meet the crest of the other, thus making the algebraic sum zero, and producing the sensation of a momentary stoppage of the sound. When these stoppages, or beats, as they are called, are too numerous to be heard separately, as in the interval, say, 500:547, ...
— The Psychology of Beauty • Ethel D. Puffer
... on the secular variations of the eccentricities and inclinations of the planetary orbits depend upon the solution of an algebraic equation equal in degree to the number of planets whose mutual action is considered, and the coefficients of which involve the values of the masses of those bodies. It may be shown that if the roots of this equation be equal or imaginary, the corresponding ...
— Biographies of Distinguished Scientific Men • Francois Arago
... peace and security, all labor and action, spring from these sources. It is the same with the other primordial differences; their effects embrace an entire civilization, and may be likened to those algebraic formulae which, within narrow bounds, describe beforehand the curve of which these form the law. Not that this law always prevails to the end; sometimes, perturbations arise, but, even when this happens, it is ...
— Prefaces and Prologues to Famous Books - with Introductions, Notes and Illustrations • Charles W. Eliot
... in all respects like our own. It is true that they are very unlike the typical civilised man of some of the older philosophers, whose every action proceeded from a nice and logical calculation of the algebraic sum of pleasures and pains to be derived from alternative lines of conduct; but we ourselves are equally unlike that purely mythical personage. The Kayan or the Iban often acts impulsively in ways which by no means conduce ...
— The Belief in Immortality and the Worship of the Dead, Volume I (of 3) • Sir James George Frazer
... experiments offers a rare example of the verification of algebraic calculation by direct demonstration. In general, we may employ geometry, which gives a graphic representation of calculation and furnishes a valuable control. Sometimes we have practical application, which is a very important verification in some respects, but only approximate in others. ...
— Scientific American Supplement, No. 315, January 14, 1882 • Various
... and to resist all further analysis) gives way before Mr. Ricardo's law, and is eliminated; an admirable simplification, which is equal in merit and use to any of the rules which have been devised, from time to time, for the resolution of algebraic equations. ...
— Memorials and Other Papers • Thomas de Quincey
... hand, the law holds with equal sureness for all right action. Love, and you shall be loved. All love is mathematically just, as much as the two sides of an algebraic equation. The good man has absolute good, which like fire turns everything to its own nature, so that you cannot do him any harm; but as the royal armies sent against Napoleon, when he approached, cast down their colors and from enemies became friends, ...
— Essays • Ralph Waldo Emerson
... conception. That we are conscious of them, however, in their character of things, and not of mere signs, is evident from the fact that our whole process of reasoning is carried on by predicating of them the properties of things. In resolving an algebraic equation, by what rules do we proceed? By applying at each step to a, b, and x, the proposition that equals added to equals make equals; that equals taken from equals leave equals; and other propositions founded on these two. These are not properties of language, or of signs as such, but ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill
... The silent assumption is that by education and effort it can be made so. One may doubt whether in the sense required by Godwin's argument any human action ever is or can be absolutely "voluntary," rational or self-conscious. To attain it, we should have to reason naked in a desert with algebraic symbols. To use words is to think in step, and to beg our question. But Godwin is well aware that most men rarely reason. He is here framing an ideal, without realising its remoteness. The mischief of his faith in logic as a force, was that it led him to ignore ...
— Shelley, Godwin and Their Circle • H. N. Brailsford
... in his armchair, and pen in hand he began what looked very much like algebraic formula: I followed with my eyes his trembling hands, I took count of every movement. Might not some unhoped-for result come of it? I trembled, too, very unnecessarily, since the true key was in my hands, and no other ...
— A Journey to the Interior of the Earth • Jules Verne
... must of necessity underlie all the arguments that have been made in defence of property; and, as on the other hand the right of property is only exercised over those things which can be appreciated by the senses, justice, secretly objectifying itself, so to speak, must take the shape of an algebraic formula. ...
— What is Property? - An Inquiry into the Principle of Right and of Government • P. J. Proudhon
... knew, in short, that Cyrus Browett as one of his congregation on a Sabbath morning would be a mere atom in the plastic cosmos below him; whereas Browett by himself, with the granite hardness of his crag-like face, his cool little green eyes—unemotional as two algebraic x's—would be a matter fearfully different. Even his white moustache, close-clipped as his own hedges, and guarding a stiff, chilled mouth, was a thing grimly repressed, telling that the man was quite invulnerable ...
— The Seeker • Harry Leon Wilson
... experience. In the religion of the once-born the world is a sort of rectilineal or one-storied affair, whose accounts are kept in one denomination, whose parts have just the values which naturally they appear to have, and of which a simple algebraic sum of pluses and minuses will give the total worth. Happiness and religious peace consist in living on the plus side of the account. In the religion of the twice-born, on the other hand, the world is a double-storied mystery. Peace cannot be reached by the simple addition of pluses and elimination ...
— Introduction to the Science of Sociology • Robert E. Park
... occasion, when young Willard was seated between two brothers—Henry and Brayton Abbott by name—engaged in solving Algebraic problems, a whispered inquiry, regarding the lesson, passed from one to ...
— Sword and Pen - Ventures and Adventures of Willard Glazier • John Algernon Owens
... value of this ratio; it varies inversely with the refractive index (the power of the lens remaining constant). The total aberration of two or more very thin lenses in contact, being the sum of the individual aberrations, can be zero. This is also possible if the lenses have the same algebraic sign. Of thin positive lenses with n1.5, four are necessary to correct spherical aberration of the third order. These systems, however, are not of great practical importance. In most cases, two thin lenses are ...
— Project Gutenberg Encyclopedia |
