"Mathematically" Quotes from Famous Books
 ... flung downward and given a spinning motion, which, acting on the softer sandstone beneath, had begun hollowing it out, as if by the chisel of an engraver. This strange operation had gone on for years, until a bowl a dozen feet across and half as deep had been formed. It was almost mathematically round, very smooth and with a tapering shape to the bottom that made the resemblance to an enormous ...
— The Hunters of the Ozark • Edward S. Ellis
... are Pointes called. A Point, is a thing Mathematicall, indiuisible, which may haue a certayne determined situation." If a Poynt moue from a determined situation, the way wherein it moued, is also a Line: mathematically produced, ...
— The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara • John Dee
... depression. They saw with astonishment that the cut surface was perfectly smooth, with not even the slightest roughness or irregularity visible. Even the smallest loose grains of sand had been sheared in two along a mathematically exact hemispherical surface by the inconceivable force of ...
— Skylark Three • Edward Elmer Smith
... speed in a manner which is all but mathematically correct, any slight deviation from any such mathematical correctness being easily compensated ...
— The Story of the Cotton Plant • Frederick Wilkinson
... architecture, sculpture, and painting in a single organism. Each part of the immense composition, down to the smallest detail, is necessary to the total effect. We are in the presence of a most complicated yet mathematically ordered scheme, which owes life and animation to one master-thought. In spite of its complexity and scientific precision, the vault of the Sistine does not strike the mind as being artificial or worked out by calculation, ...
— The Life of Michelangelo Buonarroti • John Addington Symonds
... (III. 348) is "equal in all directions," which we might conceive to mean, mathematically "circular," as the words do mean that. A shield is said to have "circles," and a spear which grazes a shield—a shield which was [Greek: panton eesae], "every way equal"—rends both circles, the outer circle of bronze, and the inner circle of leather (Iliad, XX. 273-281). ...
— Homer and His Age • Andrew Lang
... these ballots? They are a yard long and a yard wide. They have a hundred and twenty names on them and the people are expected to make a selection. They are to make a selection of ten out of fifty or one hundred names. Why, it would seem to be mathematically demonstrable that that is absurd. But when some men get into politics and talk about the people, it seems as if they had to abandon ordinary logic. I am just as much in favor of popular government as anybody, but I am in favor of popular government as a means to attain ...
— Ethics in Service • William Howard Taft
... into dust, we would greatly increase the amount of water that could adhere to the original material. Clay particles, it should be noted, are so small that clay's ability to hold water is not as great as its mathematically computed surface area ...
— Gardening Without Irrigation: or without much, anyway • Steve Solomon
... the only chair, stolid, righteous, imposing. The incarnation and representative of the ninety and nine who need no forgiveness, exasperatingly and mathematically virtuous as a dogma, a woman against whom no sort of reproach could be brought, and at the mere sight of whom false witnesses would shrivel up and die, like jelly-fish in the sun. She not only approved of the convent life, but she liked it. She was at liberty to do a thousand things which were not ...
— Casa Braccio, Volumes 1 and 2 (of 2) • F. Marion Crawford
... "How mathematically exact you are!" she gibed. "To-morrow it will be a year, three months, and twelve days; and the day after to-morrow—mercy me! I should go mad if I had to think back and count up that way every day. But I asked you ...
— The Taming of Red Butte Western • Francis Lynde
... does away with five of his fellow creatures in order to secure a certain number of millions, it means that he is convinced that this proceeding will positively and mathematically insure his entering into possession of the millions. In short, when a man does away with a millionaire and his four successive heirs, it means that he himself is the millionaire's fifth heir. The man will ...
— The Teeth of the Tiger • Maurice Leblanc
... the air remained cool. Fields of maguey in mathematically straight lines stretched up and away out of sight over broad rolling ridges. I had put off the experience of tasting the product until I should reach Apam, the center of the pulque industry. At that station an old woman sold me a sort of flower-pot full of the ...
— Tramping Through Mexico, Guatemala and Honduras - Being the Random Notes of an Incurable Vagabond • Harry A. Franck
... and broke into curls all around her face; Isabel's was in perfect order, with every wave mathematically exact. Juliet's face was tanned and rosy; Isabel's pale and cool. Juliet's hands were rough and her finger-tips square; Isabel's were white and tapering, with perfectly manicured nails. And their gowns—there was ...
— Old Rose and Silver • Myrtle Reed
... morning I might have doubted, but now, thanks to that vain idiot who goes by the name of Wilkie, I am sure, perfectly, mathematically sure of success. Maumejan, who is entirely devoted to me, and who is the greediest, most avaricious scoundrel alive, will draw up such a complaint that Marguerite will sleep in prison. Moreover, other witnesses ...
— Baron Trigault's Vengeance - Volume 2 (of 2) • Emile Gaboriau
... streets come faint noises. On a hot day the city is as appealing as a half-cooled cinder patch. Poor devils in factories, poor devils in stores, in offices. One must sigh thinking of them. Life is even vaster than the lake in which these fishermen fish. And happiness is mathematically elusive as the fish for which the ...
— A Thousand and One Afternoons in Chicago • Ben Hecht
... unanimously upon the point before we came in. We do not care who your witnesses may be, or whether they are your friends or not. As they cannot fail to recognize Burdovsky's right (seeing that it is mathematically demonstrable), it is just as well that the witnesses should be your friends. The truth will only be ...
— The Idiot • (AKA Feodor Dostoevsky) Fyodor Dostoyevsky
... his passion, took to exaggerating the scientific principles whereby, from the three primitive colours, yellow, red, and blue, one derives the three secondary ones, orange, green, and violet, and, further, a whole series of complementary and similar hues, whose composites are obtained mathematically from one another. Thus science entered into painting, there was a method for logical observation already. One only had to take the predominating hue of a picture, and note the complementary or similar colours, to establish experimentally what variations would ...
— His Masterpiece • Emile Zola
... the senses of one individual man, and the judgment that is narrowed by the one man's senses, the weal of the whole,—in order that the wisdom of the State, which puts at the mercy of the arbitrary will and passions of the one, the weal of the many, might be mathematically exhibited,—might be set down in figures and diagrams. For this is that Poet who represents this method of inquiry and investigation, as it were, to the eye. This is that same Poet, too, who surprises elsewhere a queen in her ...
— The Philosophy of the Plays of Shakspere Unfolded • Delia Bacon
... with me for not saying a word about going to see you? Arabel and I won't affirm it mathematically—but we are, metaphysically, talking of paying our visit to you next ...
— The Letters of Elizabeth Barrett Browning (1 of 2) • Frederic G. Kenyon
... of consonants only, as nrrlls; others, on the other hand, in which vowels predominate, as for instance the fifth, uneeief, or the last but one, oseibo. Now this arrangement has evidently not been premeditated; it has arisen mathematically in obedience to the unknown law which has ruled in the succession of these letters. It appears to me a certainty that the original sentence was written in a proper manner, and afterwards distorted by a law which we have yet to discover. Whoever possesses the key of this cipher will read ...
— A Journey to the Interior of the Earth • Jules Verne
... with each other. We were absolutely opposed at all points; in thought, in feeling and in sentiment, I could not help remembering the wonderful network of shining lines I had seen in that first dream of mine,— lines which were apparently mathematically designed to meet in reciprocal unity. The lines on this occasion between us five human beings were an almost visible tangle. I found my best refuge in silence,—and I listened in vague wonderment to the flow of senseless ...
— The Life Everlasting: A Reality of Romance • Marie Corelli
... with all their calculations and expenditures in experiments, had determined the proper distribution of the strains, and the size and strength required for the side-plates of tubular bridges, but only for those at the top and bottom. General Haupt solved the problem mathematically, and sent a communication on the subject to the American Association for the Advancement of Science, which has been extensively copied into the scientific journals of Europe, and has added largely to the ...
— The Atlantic Monthly, Volume 14, No. 86, December, 1864 • Various
... then only if the succession of steps of change be infinitely divisible. If a bottle had to be emptied by an infinite number of successive decrements, it is mathematically impossible that the emptying should ever positively terminate. In point of fact, however, bottles and coffee-pots empty themselves by a finite number of decrements, each of definite amount. Either ...
— A Pluralistic Universe - Hibbert Lectures at Manchester College on the - Present Situation in Philosophy • William James
... i.e., in intensity, extent, and duration, just as warmth does, which may be of high or low temperature; diffused over a greater or less extent of body; and that, for a shorter or a longer time. On this assumption pleasure is every bit as mathematically measurable as is warmth, the whole difficulty being due to its subjective and therefore inaccessible nature. Simple in statement, this theory proves in application infinitely complex, and indeed on closer inspection breaks up into a mere verbal fallacy—as ...
— The Faith of the Millions (2nd series) • George Tyrrell
... old Berks by birth, rather short in stature, thick-set, with a mathematically developed head, was the first ...
— Red-Tape and Pigeon-Hole Generals - As Seen From the Ranks During a Campaign in the Army of the Potomac • William H. Armstrong
... if the earth really moved, a stone falling from a height would fall back of a point immediately below its point of starting. This is used by Fromundus with great effect. It appears never to have occurred to him to test the matter by dropping a stone from the topmast of a ship. Bezenburg has mathematically demonstrated just such an aberration in falling bodies, as is mathematically required by the diurnal motion of the earth. See Jevons, Principles of Science, pp. 388, 389, ...
— History of the Warfare of Science with Theology in Christendom • Andrew Dickson White
... the secretary of the club whose members were secretaries, Achilles and the tortoise, and all the other lovely paradox-models scattered around were so much primer material for the Tr'en. "They can be treated mathematically," one of the experts, a small emerald-green being, told Korvin thinly. "Of course, you would not understand the mathematics. But that is not important. You need only understand that we cannot be ...
— Lost in Translation • Larry M. Harris
... planetary orbit, as for instance that of the earth, was marked in the nebula of our system before the system existed—that is, that our orbit had its place in the beginning just as it has now; that the orbit was not determined by solar revolution and centrifugal action, but that it was mathematically existent in the nebular sheet out of which the solar ...
— Notable Events of the Nineteenth Century - Great Deeds of Men and Nations and the Progress of the World • Various
... sink deep and cut into the very roots of existence. As it is, man does not really believe in evil, just as he cannot believe that violin strings have been purposely made to create the exquisite torture of discordant notes, though by the aid of statistics it can be mathematically proved that the probability of discord is far greater than that of harmony, and for one who can play the violin there are thousands who cannot. The potentiality of perfection outweighs actual contradictions. ...
— Sadhana - The Realisation of Life • Rabindranath Tagore
... said. "Nevertheless, it isn't mathematically exact proof, because the equinox needn't fall ...
— 20000 Leagues Under the Seas • Jules Verne
... German lines. Then when the German infantry crossed to our front line trenches (now entirely vacant) they were smashed up because the French guns were firing directly upon these positions, which they knew mathematically. And those of the Boche who went down in the dugouts for safety were killed by the gas which the Frenchmen ...
— History of the American Negro in the Great World War • W. Allison Sweeney
... account for his part, however small it be, in the magnificent pageant of life and work, for he has not been sent into it 'on chance.' Inasmuch as if there is chance in one thing there must be chance in another, and the solar system is too mathematically designed to be a haphazard arrangement. With all our cleverness, our logic, our geometrical skill, we can do nothing so exact! As part of the solar system, you and I have our trifling business to enact, Monsignor,—and ...
— The Master-Christian • Marie Corelli
... made against proportional systems of voting is that they do not secure the exact representation of all the electors in a country. Thus the Royal Commission on Electoral Systems, whilst admitting that the new method would generally produce more accurate results, mathematically at least, than the existing method, qualified their statement by saying that their success "in producing in Parliament the 'scale map of the country,' which they held up as the ideal, can be only partial"; and in another paragraph the Report contains this remarkable statement: "On the ...
— Proportional Representation - A Study in Methods of Election • John H. Humphreys
... leisure to form some idea of Miss Judson's character on the mute evidence of Miss Judson's surroundings. From the fact that there were books of a sentimental and poetical tenor amongst the religious works ranged at mathematically correct distances upon the dark green table-cover—from the presence of three twittering canaries in a large brass cage—from the evidence of a stuffed Blenheim spaniel, with intensely brown eyes, reclining on a crimson velvet cushion under a glass shade—I opined ...
— Birds of Prey • M. E. Braddon
... country is already in our hands, and the fifth remaining diminishes week by week. Our mobility and efficiency increase. There is not the slightest ground for Mr. Methuen's lament about the condition of the Army. It is far fitter than when it began. It is mathematically certain that a very few months must see the last commando hunted down. Meanwhile civil life is gaining strength once more. Already the Orange River Colony pays its own way, and the Transvaal is within measurable distance of doing ...
— The War in South Africa - Its Cause and Conduct • Arthur Conan Doyle
... carried out by the labour of others; in this sense I have already defined the best architecture to be the expression of the mind of manhood by the hands of childhood. But on a smaller scale, and in a design which cannot be mathematically defined, one man's thoughts can never be expressed by another: and the difference between the spirit of touch of the man who is inventing, and of the man who is obeying directions, is often all the difference between a great and a common work of art. How wide the separation is ...
— Selections From the Works of John Ruskin • John Ruskin
... germinal processes cannot be proved mathematically, since we cannot actually see the play of forces of the passive fluctuations and their causes. We cannot say how great these fluctuations are, and how quickly or slowly, how regularly or irregularly ...
— Darwin and Modern Science • A.C. Seward and Others
... Mathematically, a rocket ship that could leave the Platform with full fuel tanks should have fuel to reach the moon and land on it, and take off again and return to the Platform. The mathematical fact had a peculiar nagging flavor. When a dream is subjected to statistical analysis and the ...
— Space Platform • Murray Leinster
... no clothes-lines, no pumps, nothing to indicate the kitchen end of a residence. The swift curve of a grassed terrace dropped from the house-level to that on which Bobby stood. Four large apple trees, mathematically spaced, would furnish shade in summer. That the shade was utilized was proved by the presence of a number of settees, iron chairs and a rustic ...
— The Adventures of Bobby Orde • Stewart Edward White
... boy! A Time Machine, in the popular sense, is impossible. Wild fancy! However—" The professor tapped the dottle from his pipe. "—by a mathematically precise series of infinite calculations, I have developed the remarkable C. Cydwick Ohms Time Door. Open it, take but a single step—and, presto! ...
— Of Time and Texas • William F. Nolan
... specimen as this could hope to escape instant marriage. Here were features so mathematically flawless that they became practically featureless; here was bodily balance so ideal that the ultimate standards of Greek perfection seemed lop-sided in comparison. No, there could be no doubt about it; this young man was certainly required for the purpose of scientific ...
— The Gay Rebellion • Robert W. Chambers
... exceedingly small and difficult to observe; and it is only by a very remarkable patience and care and ingenuity that Dr. Kerr has obtained his result. Mr. Fitzgerald, of Dublin, has examined the question mathematically, and has shown that Maxwell's theory would have enabled Dr. Kerr's result to ...
— Scientific American Supplement No. 275 • Various
... But this, it will be observed, is not the case; and it is a fact perfectly well attested, though perhaps not yet scientifically accounted for (many things are known to be true which for the present cannot be mathematically demonstrated), that near the top of a mountain thirty rods are equivalent to a good deal more than four hundred and ninety-five feet. Let the guide-book's specification stand, therefore, in all its surveyor-like ...
— Birds in the Bush • Bradford Torrey
... and extinguishing his competitors. Year after year, the wild animals with which man never interferes are, on the average, neither more nor less numerous than they were; and yet we know that the annual produce of every pair is from one to perhaps a million young; so that it is mathematically certain that, on the average, as many are killed by natural causes as are born every year, and those only escape which happen to be a little better fitted to resist destruction than those which die. The individuals of a species are like the crew ...
— Darwiniana • Thomas Henry Huxley
... mathematical calculations we are accustomed to argue as if such substances as air, water, or metal, which appear to our senses uniform and continuous, were strictly and mathematically uniform and continuous. ...
— Five of Maxwell's Papers • James Clerk Maxwell
... dayes ar imagined spent, which have crept in betwene the day of Crist his birth regarding the place of the sonne, and the sonnes place not the 25th day of this month, whiche a civile quation, but mathematically and religiusly to be substantiated to be for the true term of the periods of annuall revolutions of the sonne sinse the day of Christ ...
— The Private Diary of Dr. John Dee - And the Catalog of His Library of Manuscripts • John Dee
... with ESP mathematically, but now he found himself wondering if it could exist. Could they be tracking him by some natural or mechanical ability to read his mind? He strained his own mind to find a whisper of foreign thought, outside his brain. He drew a blank, ...
— Pursuit • Lester del Rey
... equally necessary to ensure comparability of conditions. In the article CONDENSATION OF GASES (see also MOLECULE) it is shown that the characteristic equation of gases and liquids is conveniently expressed in the form (p a/v^2)(v - b) RT. This equation, which is mathematically deducible from the kinetic theory of gases, expresses the behaviour of gases, the phenomena of the critical state, and the behaviour of liquids; solids are not accounted for. If we denote the critical ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 1 - "Chtelet" to "Chicago" • Various
... "And hardly a common one. There never was a line more mathematically straight than the course of Philetus's ideas; they never diverge, I think, to the right hand or the left, a jot from his ...
— Queechy, Volume II • Elizabeth Wetherell
... no escape from the admission that neither physical geology, nor palaeontology, possesses any method by which the absolute synchronism of two strata can be demonstrated. All that geology can prove is local order of succession. It is mathematically certain that, in any given vertical linear section of an undisturbed series of sedimentary deposits, the bed which lies lowest is the oldest. In any other vertical linear section of the same series, of course, corresponding beds will occur in a similar order; ...
— Lay Sermons, Addresses and Reviews • Thomas Henry Huxley
... Gentleman of your Standing in Society Clad with those honors Can not understand or Solve a problem That is explicitly explained by words and Letters and {17} mathematically operated by figuers He had ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan
... an acceleration chair, a safety belt across his middle, was Space Commander Kevin O'Brine, an Irishman out of Dublin. He was short, as compact as a deto-rocket, and obviously unfriendly. He had a mathematically square jaw, a lopsided nose, green eyes, and sandy hair. He spoke with a pronounced ...
— Rip Foster in Ride the Gray Planet • Harold Leland Goodwin
... simply monstrous in invention, Swift in invention submits himself loyally to law. Give Swift his world of Liliput and Brobdingnag respectively, and all, after that, is quite natural and probable. The reduction or the exaggeration is made upon a mathematically calculated scale. For such verisimilitude Rabelais cares not a straw. His various inventions are recklessly independent one of another. A characteristic of Swift thus is scrupulous conformity to whimsical law. Rabelais is remarkable for whimsical disregard of even his own whimseys. ...
— Classic French Course in English • William Cleaver Wilkinson
... strength could not be obtained without great weight. Many of our readers probably are not aware, that however short and light a string may be, no amount of tension applied horizontally will stretch it into a line perfectly and mathematically straight. Practically the deviation is imperceptible where the power applied is very large in proportion to the weight and length of the string. Still it exists; and to take a common example, the reader probably never saw a clothes-line stretched ...
— Museum of Antiquity - A Description of Ancient Life • L. W. Yaggy
... mathematically safe—if they depended on the laws of chance. No ship moving through the Asteroid Belt would dare to move at any decent velocity without using radar, so the people on this particular lump of planetary flotsam would be able to spot ...
— Anything You Can Do ... • Gordon Randall Garrett
... this he undertakes to show how Adam, under the embarrassing circumstance of being shut out of Paradise, may increase the product of a farm from two hundred pounds to two thousand pounds a year by the rearing of rabbits on furze and broom! It is all mathematically computed; there is nothing to disappoint in the figures; but I suspect there might be ...
— Atlantic Monthly, Volume 12, No. 73, November, 1863 • Various
... even to a limited extent, enhanced wages to White labor is mathematically certain. Labor is like any other commodity in the market-increase the demand for it and you increase the price of it. Reduce the supply of Black labor by colonizing the Black laborer out of the Country, and by precisely so much you increase the demand for ...
— The Great Conspiracy, Complete • John Alexander Logan
... English scholar Newton (1642-1728), in his Principia (1687), settled permanently all discussions as to the Copernican theory by his wonderful mathematical studies. He demonstrated mathematically the motions of the planets and comets, proved Kepler's laws to be true, explained gravitation and the tides, made clear the nature of light, and reduced dynamics to a science. Of his work a recent writer, ...
— THE HISTORY OF EDUCATION • ELLWOOD P. CUBBERLEY
... case if we do not alter our life is as certain as it is mathematically certain that two non-parallel straight lines must meet. But not only is this theoretically certain in our time; it is becoming certain not only to thought, but also to the consciousness. The precipice which we approach is already ...
— "Bethink Yourselves" • Leo Tolstoy
... dynamics, their labors would have been as so much chaff and dust. War is mechanism and science, inspiration and rule; a genuine staff for an army is a scientific law, and if this law is not recognized and is violated, then the disasters become a mathematically ...
— Diary from November 12, 1862, to October 18, 1863 • Adam Gurowski
... should judge that to mathematically set forth the knowledge of any person, it would be necessary to draw that slightly paradoxical figure popularly described as a triangular square ...
— The Continental Monthly, Vol. 3 No 2, February 1863 - Devoted To Literature And National Policy • Various
... advantages; and these are often in balance between differences of good; and in compromises sometimes between good and evil, and sometimes between evil and evil. Political reason is a computing principle; adding—subtracting—multiplying—and dividing, morally and not metaphysically or mathematically, ...
— The Writings Of Thomas Paine, Complete - With Index to Volumes I - IV • Thomas Paine
... such a disaster. In it the author has gathered all the tragedy, the mystery, and the suffering possible to the sea. All the vari- ous forms of disaster, all the possibilities of horror, the depths of shame and agony, are heaped upon these unhappy voyagers. The accumulation is mathematically complete and emotionally unforgettable. The tale has well been called the "imperishable epic ...
— The Survivors of the Chancellor • Jules Verne
... leaving the pupil to work and reason out the principles involved in the action. In the plan we have adopted we propose to induct the reader into the why and how, and point out to him the rules and methods of analysis of the problem, so that he can, if required, calculate mathematically exactly how many grains of force the fork exerts on the jewel pin, and also how much (or, rather, what percentage) of the motive power is lost in various "power leaks," like "drop" and lost motion. In the present case the mechanical result we desire to obtain ...
— Watch and Clock Escapements • Anonymous
... lightened by the addition of white, or darkened by the addition of black, it is removed to another scale, and can only harmonize by contrast with its complement by adding to green the same amount of white or black that has changed the character of the red, and this should be mathematically accurate. ...
— Color Value • C. R. Clifford
... future; while matter is susceptible of an infinite number of diverse movements, changes, modifications, combinations, etc.,[9] chemically as well as molecularly considered. This, they claim, is not a mere hypothetical judgment, but a mathematically demonstrable proposition. Grant it for the sake of the argument, and then see if the mastodon does not promptly emerge from some one of their "experimental flasks," as they choose to ...
— Life: Its True Genesis • R. W. Wright
... with mathematical precision, measuring the exact thickness of the plate and the space between the different rings of color, Young was able to show mathematically what must be the length of pulsation for each of the different colors of the spectrum. He estimated that the undulations of red light, at the extreme lower end of the visible spectrum, must number about thirty-seven thousand six hundred and forty to the inch, and pass ...
— A History of Science, Volume 3(of 5) • Henry Smith Williams
... moment, as I once did, fascinated by the sheer sound of the syllables, as they first came to my ears years ago in a university lecture. There is that of possibility in being positively thigmotactic which makes one dread the necessity of exposing and limiting its meaning, of digging down to its mathematically accurate roots. It could never be called a flower of speech: it is an over-ripe fruit rather: heavy-stoned, thin-fleshed—an essentially practical term. It is eminently suited to its purpose, and so widely used that my friend ...
— Edge of the Jungle • William Beebe
... have the flower and outcome of Newton's induction; and how to verify it, or to disprove it, was the next question. The first step of the philosopher in this direction was to prove, mathematically, that if this law of attraction be the true one; if the earth be constituted of particles which obey this law; then the action of a sphere equal to the earth in size on a body outside of it, is the same as that which would be exerted if the whole mass of the sphere ...
— Fragments of science, V. 1-2 • John Tyndall
... ship pursuing such a route can avoid running foul of some of the Polynesian groups. But it must be remembered that the distances which are so concisely depicted to our eyes upon the map, are yet vast in reality, while so mathematically exact are the rules of navigation, and so well known are the prevailing currents, that a steamship may make the voyage from Honolulu to Auckland, a distance of four thousand miles, without sighting land. When Magellan, ...
— Foot-prints of Travel - or, Journeyings in Many Lands • Maturin M. Ballou
... patience no red Indian could have excelled, Bill repeated these tactics twenty or thirty times; but always with the same nicely balanced accuracy; with ample pauses between each fresh beginning; with mathematically accurate gauging of the precise provocation needed to shift Jan farther and farther into the wilderness without seriously and dangerously ...
— Jan - A Dog and a Romance • A. J. Dawson
... had gone to the bookshelves and was gently pushing and pulling at the books so as to arrange their backs in a mathematically straight line. "I thought I would borrow something to read—Why, this is the Tennyson you had at college, isn't it? Yes, I remember ...
— The Rivet in Grandfather's Neck - A Comedy of Limitations • James Branch Cabell
... rightly drawn bend of shore or shingle, and a false one. Absolutely right, in difficult river perspectives seen from heights, I believe no one but Turner ever has been yet; and observe, there is NO rule for them. To develope the curve mathematically would require a knowledge of the exact quantity of water in the river, the shape of its bed, and the hardness of the rock or shore; and even with these data, the problem would be one which no mathematician could solve but approximatively. ...
— The Crown of Wild Olive • John Ruskin
... take many days, I proceed to take a general census. It gives me two hundred and fifty Halicti. Well, in this number of Bees, collected in the burrow before any have emerged, I perceive none, absolutely none but females; or, to be mathematically accurate, I find just one male, one alone; and he is so small and feeble that he dies without quite succeeding in divesting himself of his nymphal bands. This solitary male is certainly accidental. A female population of two hundred and forty-nine Halicti implies other males ...
— Bramble-bees and Others • J. Henri Fabre
... all. On the May morning when I first beheld that corrugated-iron abode I thought it looked inviting enough; but I did not guess how fond I was to grow of its barn-like interior and of the sportive crew who shared its mathematically-allotted floor-space. "Next war," one optimist suggested during a typical Lights-Out seance, "let's all enlist together again." There were protests against the implied prophecy, but none against the proposition as such. That is the spirit of hut comradeship ...
— Observations of an Orderly - Some Glimpses of Life and Work in an English War Hospital • Ward Muir
... therefore observe that a body, which is a complete magnitude, can be considered in two ways; mathematically, in respect to its quantity only; and naturally, as ...
— Summa Theologica, Part I (Prima Pars) - From the Complete American Edition • Thomas Aquinas
... being. If there is finality in the world of life, it includes the whole of life in a single indivisible embrace. This life common to all the living undoubtedly presents many gaps and incoherences, and again it is not so mathematically one that it cannot allow each being to become individualized to a certain degree. But it forms a single whole, none the less; and we have to choose between the out-and-out negation of finality and the hypothesis which co-ordinates not only the parts ...
— Creative Evolution • Henri Bergson
... said he. "There is nothing regular or exact in nature; even our earth is not a perfect sphere. Nature is never mathematically correct. You must always allow for variations. In some parts of the earth its heated core, or whatever it is, must be very, very ...
— The Great Stone of Sardis • Frank R. Stockton
... "to compute mathematically," or "to adjust or adapt" for something. In the sense of intend it is not in ...
— Practical Exercises in English • Huber Gray Buehler
... estimates take account of the many complex factors which interfere with such direct and simple calculations, Mr. Lowell then proceeds to enunciate them, and work out mathematically the effects ...
— Is Mars Habitable? • Alfred Russel Wallace
... say, or hear, without a chill somewhere deep inside. Not even me and I know a man can survive ionic weapons. I know because I did once. Weapons so powerful I'm one of the last men alive who saw them in action. Mathematically the big ones could wipe out a Galaxy. I saw a small one destroy a star in ten seconds. I watched Saltario for a long time. It seemed a long time, anyway. It was probably twenty seconds. I was wondering ...
— Dead World • Jack Douglas
... rate the author of the booklet inferred, that he was announcing the end of the world. [36] Was it not reported, too, that the Virgin of Luta in the town of Lipa had one cheek swollen larger than the other and that there was mud on the borders of her gown? Does not this prove mathematically that the holy images also walk about without holding up their skirts and that they even suffer from the toothache, perhaps for our sake? Had he not seen with his own eyes, during the regular Good-Friday sermon, all the images of Christ move and bow ...
— The Social Cancer - A Complete English Version of Noli Me Tangere • Jose Rizal
... that the alleged cause—such as sitting thirteen at table—actually produced the effect of a death? Do they establish a close causal relationship, or do they merely assert that after a group of thirteen had sat at table some one did die? Mathematically, would the law of chance or probability not indicate that such a thing would happen a little less surely if the number had been twelve, a ...
— Public Speaking • Clarence Stratton
... then, in such a case, it is absurd to talk, as Mr Mill does, about the stronger and the weaker. Popularly, indeed, and with reference to some particular objects, these words may very fairly be used. But to use them mathematically is altogether improper. If we are speaking of a boxing-match, we may say that some famous bruiser has greater bodily power than any man in England. If we are speaking of a pantomime, we may say the same of some very agile harlequin. But it would be talking nonsense to say, in general, that the power ...
— The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 2 (of 4) - Contributions To The Edinburgh Review • Thomas Babington Macaulay
... acting on each planet must vary inversely as the square of its distance from the sun. Since, however, each of the planets actually moves in an ellipse, and therefore, at continually varying distances from the sun, it becomes a much more difficult matter to account mathematically for the body's motions on the supposition that the attractive force varies inversely as the square of the distance. This was the question with which Halley found himself confronted, but which his mathematical abilities were not adequate to solve. It would seem that both Hooke ...
— Great Astronomers • R. S. Ball
... beautiful timbered farmhouse of which Withyham is justly proud, that Jefferies thus wrote, in his essay on "Buckhurst Park": "Our modern architects try to make their rooms mathematically square, a series of brick boxes, one on the other like pigeon-holes in a bureau, with flat ceilings and right angles in the corners, and are said to go through a profound education before they can produce these wonderful specimens of art. If ...
— Highways & Byways in Sussex • E.V. Lucas
... are drawn up by able men, and I imagine that an old theology like the Catholic theology is one of the most ingenious constructions in the world from the logical point of view. But the mischief of it all is that the data are incomplete, and many of them are not mathematically demonstrable at all. They are all coloured by human ideas and personalities and temperaments, and half of them are intuitions and experiences, which vary at different times and under different circumstances. ...
— Father Payne • Arthur Christopher Benson
... and whichever girl they selected might not be the one to ring Edward's bell. On the other hand, the expenditure upon mere food and extra sheets for a visit from the Ashburnhams to them was terrifying, too. It would mean, mathematically, going short in so many meals themselves, afterwards. Nevertheless, they chanced it, and all the three Ashburnhams came on a visit to the lonely manor-house. They could give Edward some rough shooting, some rough fishing and a whirl of femininity; but I should say the girls made really more impression ...
— The Good Soldier • Ford Madox Ford
... vexed by disappointment: "I am what I am. It might be demonstrated to you mathematically that it is corrected by equivalents or substitutions in my character. If ...
— The Shaving of Shagpat • George Meredith
... universal or infinite. Now it is a mathematical truth that the infinite must be a unity. You cannot have two infinites, for then neither would be infinite, each would be limited by the other, nor can you split the infinite up into fractions. The infinite is mathematically essential unity. This is a point on which too much stress cannot be laid, for there follow from it the most important consequences. Unity, as such, can be neither multiplied nor divided, for either operation destroys the unity. By multiplying, we produce a plurality ...
— The Edinburgh Lectures on Mental Science • Thomas Troward
... obliged to hurry her to do that. He had told me he could get fifteen miles an hour out of her on a great emergency, but he had never been disposed to try it. He had overhauled the boiler at New Orleans, and reported it in first-rate condition. Yet I could not, mathematically, see how a vessel going fifteen miles an hour could stem a current ...
— Up the River - or, Yachting on the Mississippi • Oliver Optic
... sphere seemed all in one piece, with the central objects cast inside like a toy ship in a sealed bottle. Then a mathematically precise ring of prismatic reflections showed me that the top third of the ball was a separate piece, fitting conically down like the tapered glass stopper of a monstrous perfume bottle. The handle on the top was for the purpose of lifting this ...
— Astounding Stories of Super-Science September 1930 • Various
... wax proposed, 80. Its results, if successful. Comb made chiefly in the night. 81. Honey and comb made simultaneously. Wax a non-conductor of heat. Some of the brood cells uniform in size, others vary, 82. Form of cells mathematically perfect, 83. Honey comb a demonstration of a "Great ...
— Langstroth on the Hive and the Honey-Bee - A Bee Keeper's Manual • L. L. Langstroth
... relatives or near friends, which is certainly more unusual. He lived alone in his house in Saville Row, whither none penetrated. A single domestic sufficed to serve him. He breakfasted and dined at the club, at hours mathematically fixed, in the same room, at the same table, never taking his meals with other members, much less bringing a guest with him; and went home at exactly midnight, only to retire at once to bed. He never used the cosy chambers which the Reform provides for its favoured members. He passed ten hours ...
— Around the World in 80 Days • Jules Verne
... an innocent enough question; but little Hamlyn went red from the edge of his clipped whisker on the right to the edge of his mathematically equal whisker ...
— McClure's Magazine, Vol. 6, No. 5, April, 1896 • Various
... question of temperament and environment, I shall endeavour to discover and follow the thread of connection which leads mathematically from one man to another. And when I have possession of every thread, and hold a complete social group in my hands, I shall show this group at work, participating in an historical period; I shall depict it in action, with all its varied ...
— The Fortune of the Rougons • Emile Zola
... lady, more late and reluctantly entering Margaret's circle, with a mind as high, and more mathematically exact, drawn by taste to Greek, as Margaret to Italian genius, tempted to do homage to Margaret's flowing expressive energy, but still more inclined and secured to her side by the good sense and the heroism which Margaret disclosed, ...
— Memoirs of Margaret Fuller Ossoli, Vol. I • Margaret Fuller Ossoli
... advanced, every victory they gained, carried them farther from their base, and required an increase of force to protect their communications; while every retreat of the enemy brought him nearer to his resources, and it is mathematically certain that he would soon have reached the point on that line where he would have been the superior power. Nothing but the results of the Tennessee campaign prevented Lee from recruiting his army and extorted from him his ...
— A Military Genius - Life of Anna Ella Carroll of Maryland • Sarah Ellen Blackwell
... Anyway, Skinny broke into the argument and said that he could prove mathematically that antigravity was possible, and Stinky said suure he could, and Skinny said sure he could, and Stinky said suuure he could, like that. Honestly, is that any way to argue? I mean it sounds like two people agreeing, only Stinky keeps ...
— We Didn't Do Anything Wrong, Hardly • Roger Kuykendall
... have been made in recent years in physics and chemistry are very largely due to mathematical methods of interpreting and co-ordinating facts experimentally revealed, whereby further experiments have been suggested, the results of which have themselves been mathematically interpreted. Both physics and chemistry, especially the former, are now highly mathematical. In the biological sciences and especially in psychology it is true that mathematical methods are, as yet, not so largely employed. ...
— Bygone Beliefs • H. Stanley Redgrove
... jeopardized it did he not esteem the crisis momentous. He knew not what he feared. The fraud of the intention, the groundless claim to knowledge, made Nehemiah's scheme seem multifariously guilty in some sort; while Tyler Sudley and his wife, albeit no wiser mathematically, had all the sanctions of probity in ...
— The Moonshiners At Hoho-Hebee Falls - 1895 • Charles Egbert Craddock (AKA Mary Noailles Murfree)
... LEAVE AN EXCESS has no meaning in their theory, and is not susceptible of demonstration. If supply and demand alone determine value, how can we tell what is an excess and what is a SUFFICIENCY? If neither cost, nor market price, nor wages can be mathematically determined, how is it possible to conceive of a surplus, a profit? Commercial routine has given us the idea of profit as well as the word; and, since we are equal politically, we infer that every citizen has an equal right to realize profits in his personal ...
— The Philosophy of Misery • Joseph-Pierre Proudhon
... this, we shall introduce the following incidental consideration. Up to the present we have only considered events taking place along the embankment, which had mathematically to assume the function of a straight line. In the manner indicated in Section 2 we can imagine this reference-body supplemented laterally and in a vertical direction by means of a framework of rods, so that an event which takes place anywhere can be localised with reference to this framework. ...
— Relativity: The Special and General Theory • Albert Einstein
... that followed was a thing to live in memory. From the nature of the land, gently rolling to the horizon without an obstruction the height of a man's hand, there was no possibility of escape for the quarry. The outcome was as mathematically certain as a problem in arithmetic; the only uncertain element was that of time. At first the jack seemed to be gaining, but gradually the greater endurance of the hounds began to count, and foot by foot the gap between pursuers and pursued lessened. In the beginning the rabbit ran in ...
— Ben Blair - The Story of a Plainsman • Will Lillibridge
... probably did his—University of Montevideo Library. She even had access to the photostats of the old U.S. data that General Lanningham brought to South America after the debacle in the United States in A.E. 114. Those end-papers are part of the Lanningham stuff. As far as we've been able to check mathematically, everything is strictly authentic and practical. We'll have to run a few more tests on the chemical-explosive charges—we don't have any data on the exact strength of the explosives they used then—and ...
— Uller Uprising • Henry Beam Piper, John D. Clark and John F. Carr
... it be once admitted (what no sane man denies) that the chances of life of any given organism are increased by certain conditions (A) and diminished by their opposites (B), then it is mathematically certain that any change of conditions in the direction of (A) will exercise a selective influence in favour of that organism, tending to its increase and multiplication, while any change in the direction of (B) will exercise a selective influence ...
— Criticisms on "The Origin of Species" - From 'The Natural History Review', 1864 • Thomas H. Huxley
... study. Few seem to be aware how greatly the knowledge of what may be termed the actuarial side of heredity has advanced in recent years. The average closeness of kinship in each degree now admits of exact definition and of being treated mathematically, like birth- and death-rates, and the other topics ...
— Introduction to the Science of Sociology • Robert E. Park
... membership, rises and the annual assessments must be increased. By constant additions of young members, this rise of cost may be retarded. But when these members grow older, a still larger addition of young members is required to keep down the average, and the mathematically inevitable result is an increasing rate of assessment. This keeps young men from entering, and finally results in failure or in some form of "reorganization" that drives out the older members. The assessment plan carries with it the seeds of its ...
— Modern Economic Problems - Economics Vol. II • Frank Albert Fetter
... like purpose than between this graveyard and that of the further village. Here the grass was carefully tended, and formed virtually a part of the manor-house lawn; flowers and shrubs being planted indiscriminately over both, whilst the few graves visible were mathematically exact in shape and smoothness, appearing in the daytime like chins newly shaven. There was no wall, the division between God's Acre and Lord Luxellian's being marked only by a few square stones set at equidistant points. Among those persons who have romantic sentiments on the subject ...
— A Pair of Blue Eyes • Thomas Hardy
... never afford to eat their own rice! Far cheaper must be the food they live upon; and nevertheless, merely to protect the little that they own, such nightmares must be called into existence—monstrous creations of science mathematically applied ...
— Glimpses of an Unfamiliar Japan - First Series • Lafcadio Hearn
... October (principally, I believe) I made some capital Experiments on Quartz, which were treated mathematically in a Paper communicated in the next year to the Cambridge Philosophical Society. In some of these my wife assisted me, and also drew pictures.—On Nov. 15th the Grace for paying me L198. 13s. 8d. to make my income up to L500 passed the Senate.—I made three journeys to London to attend committees, ...
— Autobiography of Sir George Biddell Airy • George Biddell Airy
... imagination, and convince the reason, of Maltravers; and the moment the matter came to argument, the cure was soon completed: for, however we may darken and puzzle ourselves with fancies and visions, and the ingenuities of fanatical mysticism, no man can mathematically or syllogistically contend that the world which a God made, and a Saviour visited, was designed to ...
— Ernest Maltravers, Complete • Edward Bulwer-Lytton
... has mathematically proved that all bodies gravitate or incline to the centre. It is on this principle only that we can account for our being fixed to the earth; that we are surrounded by the atmosphere; and that we are ...
— The Mirror of Literature, Amusement, and Instruction - Volume 13, No. 354, Saturday, January 31, 1829. • Various
... will exclaim: 'Total failure, except in case 7!' And, about that case, he will have his private doubts. But, arguing mathematically, M. Richet proves that the table was right, beyond the limits of mere chance, by fourteen to two. He concludes, on the whole of his experiments, that, probably, intellectual force in one brain may be echoed in another brain. But MM. Binet and ...
— Cock Lane and Common-Sense • Andrew Lang
... to give purchase to the explosions of their water-motor." Does the author mean to say that the explosions of the tubes have to have something to push against to have any action? (a) Has it not been proven actually and mathematically that the explosions of rockets and expanding gases are even more powerful in space? The space ship in this story was equipped with both bow and stern tubes; why not fire them to slow the ship down instead of waiting to run ...
— Astounding Stories, July, 1931 • Various
... though they are incapable of proof. (3) Everyone can see the truth of Euclid's propositions before they are proved. (4) So also the histories of things both future and past which do not surpass human credence, laws, institutions, manners, I call conceivable and clear, though they cannot be proved mathematically. (5) But hieroglyphics and histories which seem to pass the bounds of belief I call inconceivable; yet even among these last there are many which our method enables us to investigate, and to discover the meaning of ...
— A Theologico-Political Treatise [Part II] • Benedict de Spinoza
... applied.[1040] The State may do what it can to prevent what is deemed an evil and stop short of those cases in which the harm to the few concerned is thought less important than the harm to the public that would ensue if the rules laid down were made mathematically exact.[1041] Exceptions of specified classes will not render the law unconstitutional unless there is no fair reason for the law that would not equally require its extension to the excepted classes.[1042] ...
— The Constitution of the United States of America: Analysis and Interpretation • Edward Corwin
... significant. The unit of Roman land-surveying, the 'iugerum', was a rectangular space of 120 by 240 Roman feet—in English feet a tiny trifle less—and it seems to follow that 'insulae' were often laid out with definite reference to the 'iugerum'. The divisions may not have always been mathematically correct; our available plans are seldom good enough to let us judge of that,[62] and we do not know whether we ought to count the surface of the streets with the measurement of the 'insulae'. But the general practice seems clear, and it extended even to Britain (p. 129), ...
— Ancient Town-Planning • F. Haverfield
... high esteem. The world is a large society,—a traveller is but one of the company, who converses through the Press; and as, in the smaller circles, conversation would die or freeze if nothing were stated but what could be mathematically proved, so would volumes of travels come to an untimely end, if they never passed beyond the dull boundary of facts. In both cases, opinions are the life of conversation; because, as no two people agree, ...
— Lands of the Slave and the Free - Cuba, The United States, and Canada • Henry A. Murray
... cosmic matter endowed with motion out of which we are fashioned, proceeding ever rationally and rhythmically to its appointed ends. We are all of us participators in a world of concrete music, geometry and number—a world, that is, so mathematically constituted and co-ordinated that our pigmy bodies, equally with the farthest star, throb to the music of the spheres. The blood flows rhythmically, the heart its metronome; the moving limbs weave patterns; the voice stirs into radiating sound-waves ...
— Architecture and Democracy • Claude Fayette Bragdon
... how will Jessica meet me? She will not look now, I trust, for that cloven hoof which I never had and those ass's ears which, alas! I did flourish so portentously. Why, Jessica, according to your own words you will have a strange double lover to greet, and I think it would be mathematically correct if you gave two kisses in return for every one. It will be a new rendering ...
— The Jessica Letters: An Editor's Romance • Paul Elmer More
... felt himself unequal to the task of arranging and supervising every department of a book that was to include the whole circle of the sciences. He was not skilled enough in mathematics, nor in physics, which were then for the most part mathematically conceived. For that province, he associated with himself as an editorial colleague one of the most conspicuous and active members of the philosophical party. Of this eminent man, whose relations with Diderot were for some years so intimate, ...
— Diderot and the Encyclopaedists (Vol 1 of 2) • John Morley
... quarter section, mathematically exact, is of course, square in shape. In our illustration the lower part of two ...
— Correggio - A Collection Of Fifteen Pictures And A Portrait Of The - Painter With Introduction And Interpretation • Estelle M. Hurll
... who looked as burly as a drifting ale pipe in a head sea, and whispered something about Young America being an unpleasant companion to sail the air with. Feeling how much better it was to be good-natured, I took the matter mathematically, trusting to the best. To be always right end up is a principle never to be lost sight of. There was land below us, firm and frowning; which, before we knew where we were, we had slipped into, like preserved meat, up to our arm-pits. Poor John made an awful blubbering; seeing which, I ...
— The Adventures of My Cousin Smooth • Timothy Templeton
... question is unanswerable is as complete an answer as any that could possibly be obtained. And from the point of view of physics, where no empirical means of distinction can be found, there can be no empirical objection to the mathematically simplest assumption, which is ...
— Mysticism and Logic and Other Essays • Bertrand Russell
... time, please. That screen may be possible, but those fields will never generate it. Look at datum 31, in which your assumptions are unsound. In order to make any solution at all possible you have assumed cosine squared theta negligible. Mathematically, it is of course vanishingly small compared to the first power of the cosine, but fields of that type must be exact, and your neglect of the square is indefensible. Since you cannot integrate with the squared term in place, ...
— Spacehounds of IPC • Edward Elmer Smith
... approached, dropped a gangway over the Gar's side. She stepped lightly down into the cockpit with a naive expression of surprise at the yacht's immaculate order. The sails lay precisely housed, the stays, freshly tarred, glistened in the sun, the brasswork and newly varnished mahogany shone, the mathematically coiled ropes rested on a deck as spotless ...
— Wild Oranges • Joseph Hergesheimer
... along this line that the very sight of a book awed him into fear and fright. The very existence of such a law was, indeed, an admission of the educational possibilities of the race. In the year 1863 there were about twenty members of the race who had received collegiate training. Mathematically speaking, it took three hundred years to pull twenty Negroes through the colleges of the land, so great was the ...
— Masterpieces of Negro Eloquence - The Best Speeches Delivered by the Negro from the days of - Slavery to the Present Time • Various
... which he contrived to get as many lines as possible leading the eye inward. Prostrate horses, dead or dying cavaliers, broken lances, ploughed fields, Noah's arks, are used by him with scarcely an attempt at disguise, to serve his scheme of mathematically converging lines. In his zeal he forgot local colour—he loved to paint his horses green or pink—forgot action, forgot composition, and, it need scarcely be added, significance. Thus in his battle-pieces, instead of adequate action of any sort, we get the feeling of witnessing a show of ...
— The Florentine Painters of the Renaissance - With An Index To Their Works • Bernhard Berenson
... drawing on a scale of one fourth inch, reducing the original design to one in miniature. The child will almost always begin by attempting to make the picture exactly like his model in size without counting the inches and trying to make it mathematically correct; but after the idea is carefully explained and fully illustrated, he will have no further difficulty excepting, perhaps, with the more complicated figures ...
— Froebel's Gifts • Kate Douglas Wiggin
... from a big school, he ought to have been more mathematically correct, and known that in describing the arc of a circle his left hand would go lower; but he did not stop to think. The consequence was that as his fingers glided over the rough stone, they passed a few ...
— The Black Tor - A Tale of the Reign of James the First • George Manville Fenn
... the 'Muffin Man;' therefore it follows, mathematically, I believe, that we must all know each other. I think we'll try a sitting-down game next. I'll give you all something. Desire, you can tell them what to do with it, and Miss Ashburne shall ...
— Real Folks • Mrs. A. D. T. Whitney
... Monte Carlo will always beat the individual if he stays long enough. I presume that the bank there is managed honestly, although I neither know nor care whether it is. But this at least is certain—the cagnotte gains 3 per cent. on every spin. Mathematically, a man is bound to lose the capital he invests in every thirty throws when his luck is neither good nor bad. In the long run his luck will leave him with a balanced book—minus the cagnotte. My advice to any man would be, "Never play roulette at all; but ...
— Success (Second Edition) • Max Aitken Beaverbrook
... at Rockport, who gave the crew of the Catwhisker, by wireless, directions whereby the latter were able to locate "mathematically" the whereabouts of the "Canadian Crusoe's Friday Island" listened in much of the time thereafter, in the hope of being able to keep in touch with developments to the end of this interesting ...
— The Radio Boys in the Thousand Islands • J. W. Duffield |
