"Mathematically" Quotes from Famous Books
 ... connections differ in kind. You can treat mechanical principles mathematically, but can you treat life mathematically? Will your formulas and equations apply here? You can figure out the eclipses of the sun and moon for centuries to come, but who can figure out the eclipses of nations or the ...
— The Breath of Life • John Burroughs
... vessels however is a sign of only relative value, for the amount of blood in the internal organs may be very different. The problem, how to estimate exactly, if possible mathematically, the quantity of blood in the body has always been recognised as important, and its solution would constitute a real advance. The methods which have so far been proposed for clinical purposes originate from Tarchanoff. He suggested that one may estimate the quantity of blood by comparing ...
— Histology of the Blood - Normal and Pathological • Paul Ehrlich
... to mingled mirth and tears, play upon their emotions and make them remember the things they have forgotten, drive conviction home, and change the ideals of a lifetime in an hour. The man in spotless attire, with necktie mathematically adjusted, is an usher. If too much attention to dress is in evidence, we at once conclude that the attire is first in importance and ...
— Little Journeys to the Homes of the Great, Volume 7 - Little Journeys to the Homes of Eminent Orators • Elbert Hubbard
... economists argued in favor of stimulating population in order to make wages low, and thereby win in international competition. They never had a compunction or a doubt about this argument. No wonder it has been asserted that all truth, except that which is mathematically demonstrable, is only a function of the age. When the earth is underpopulated and there is an economic demand for men, democracy is inevitable. That state of things cannot be permanent. Therefore democracy cannot last. It contains no absolute ...
— Folkways - A Study of the Sociological Importance of Usages, Manners, Customs, Mores, and Morals • William Graham Sumner
... well, Allen Fenwick. And who should be so indulgent to the vagaries of the imagination as the philosophers who taught your youth to doubt everything in the Maker's plan of creation which could not be mathematically proved? 'The human mind,' said Luther, 'is like a drunkard on horseback; prop it on one side, and it falls on the other.' So the man who is much too enlightened to believe in a peasant's religion, is always sure to set up some insane superstition of his own. Open biographical volumes ...
— A Strange Story, Complete • Edward Bulwer-Lytton
... 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. But these sciences are far less highly developed, far less exact ...
— Bygone Beliefs • H. Stanley Redgrove
... Cayley, as early as 1810 studied and wrote largely on the subject of dirigibles but, though the English call him the "father of British aeronautics," his work seems to have been rather theoretical than practical. He did indeed demonstrate mathematically that no lifting power existed that would support the cumbrous steam-engine of that date, and tried to solve this dilemma by devising a gas engine, and an explosive engine. With one of the latter, driven by a series of explosions of gunpowder, ...
— Aircraft and Submarines - The Story of the Invention, Development, and Present-Day - Uses of War's Newest Weapons • Willis J. Abbot
... Fleda. "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 ...
— Queechy, Volume II • Elizabeth Wetherell
... examine it yet more completely and take it up point by point. At length I found the fallacy to be that three lines which, as drawn, intersected in what was to the eye the same point on the paper, were assumed to intersect mathematically in one and the same point. Except for the complexity of the work, the supposed construction would have been worthy ...
— The Reminiscences of an Astronomer • Simon Newcomb
... which I 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
... of it, but one cannot lay much stress on that. Regarding the mental aspects alone, the balance is largely against suicide; looking at the physical aspects, suicide is well nigh impossible. Putting the two together, the case against suicide is all but mathematically complete. The answer, then, to our first question, Did the deceased commit suicide? is, that ...
— The Big Bow Mystery • I. Zangwill
... 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 ...
— Great Astronomers • R. S. Ball
... were almost the only broad streets. Those interminable, straight avenues which even the brilliancy and movement of Paris can hardly make anything but tiresome, had not yet been cut. The streets were narrow and shady; most of them not very long, nor mathematically straight, but keeping a general direction and widening here and there into a little square before a church door, or curving to follow an irregularity of the ground. Such streets were not in accordance ...
— The Eve of the French Revolution • Edward J. Lowell
... to a life-peerage limit, and then stopping suddenly. But in politics we must not trouble ourselves with exceedingly exceptional accidents; it is quite difficult enough to count on and provide for the regular and plain probabilities. To speak mathematically, we may easily miss the permanent course of the political curve if we engross our minds with its cusps ...
— The English Constitution • Walter Bagehot
... You may mix in a little practical mechanics, if you choose. Invent some method of taking the tardy Courier over his road at the rate of sixty miles a minute. Demonstrate me this discovery (when you have made it!) mathematically, and approximate it practically, and Abscissa is yours. Until you can, I will thank you to trouble neither myself ...
— Stories by American Authors, Volume 5 • Various
... 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 ...
— The Philosophy of Misery • Joseph-Pierre Proudhon
... convince you. This 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 will be summoned. By what Casimir ...
— Baron Trigault's Vengeance - Volume 2 (of 2) • Emile Gaboriau
... extraordinarily subtle mind, and who had full belief in magic and had a cryptic meaning in everything, we should place ourselves in her position before deciding. It is now manifest that the sunset has an important place in the arrangements. As those suns, cut so mathematically by the edge of the sarcophagus, were arranged of full design, we must take our cue from this. Again, we find all along that the number seven has had an important bearing on every phase of the Queen's thought and reasoning and action. The logical result is that the seventh hour after ...
— The Jewel of Seven Stars • Bram Stoker
... simply that which enables us to merge finite reality in the infinite possibility around it? Or, to put it differently, is not mind the universal virtuality, the universe latent? If so, its zero would be the germ of the infinite, which is expressed mathematically by ...
— Amiel's Journal • Mrs. Humphry Ward
... 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 ...
— Selections From the Works of John Ruskin • John Ruskin
... 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 ...
— Ethics in Service • William Howard Taft
... lines to be found in the sun's spectrum were missing, there were a few lines here exactly matching a few of the lines in the sun's spectrum; and this could not be the result of chance only, for the lines are so mathematically exact, and are in themselves so peculiarly distributed, that it could only mean that they were due to the same cause. What could this signify, then, but that away up there in the sun, among other things, stuff called sodium, ...
— The Children's Book of Stars • G.E. Mitton
... I should act. If You wish me to act otherwise, why did You not make me different? I was fore-ordained by You to be and to do what I am and have done. Is it my fault that You fore-ordained me to be and to do thus?' The actions of a man's will are as mathematically fixed at his birth as are the motions of a planet in its orbit. God, who made the man and the planet, is responsible for the actions ...
— British Socialism - An Examination of Its Doctrines, Policy, Aims and Practical Proposals • J. Ellis Barker
... you can beat the game in the long run if you keep at it," he answered simply. "It is mathematically impossible. Consider. We are Croesuses—we hire players to stake money for us on every possible number at every coup. How do we come out? If there are no '0' or '00,' we come out after each coup precisely where we ...
— Master Tales of Mystery, Volume 3 • Collected and Arranged by Francis J. Reynolds
... the slime of rice-fields, yet can 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 to the ends ...
— Glimpses of an Unfamiliar Japan - First Series • Lafcadio Hearn
... great, the observed rotation is 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. ...
— Scientific American Supplement No. 275 • Various
... irregular surfaces, this method will enable even a skilled drainer to hit upon the best adjustment in less time than by computation. Ordinarily, however, the form of computation given in the following table, which refers to the same drain, (C,) will be more expeditious, and its results are mathematically more correct.(16) ...
— Draining for Profit, and Draining for Health • George E. Waring
... part of it is that you should have had to go to Chatto's, and should have learnt the lady's name so promptly from her husband! Mathematically there were untold chances that this lady who recognised me might be some stranger's wife, and that we might never more hear anything of her! Yet you discover her identity at once. This is the kind of thing which occasionally occurs in novels, but which critics say never happens in ...
— With Zola in England • Ernest Alfred Vizetelly
... 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 ...
— The Great Conspiracy, Complete • John Alexander Logan
... 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 ...
— Lectures and Essays • T.H. Huxley
... Literally and mathematically invariable it is not, and could not be expected to be: because the period of a year is too short to include all the possible combinations of partial causes, while it is, at the same time, sufficiently long to make it probable that in some years at least, ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill
... our power. The overlordship of the Imperial Parliament remains in any scheme of Home Rule unimpaired, and any man damnified because of his religion can appeal in last resort to the Imperial Army and Navy. Shankhill Road is mathematically safe. After all there are in England some forty millions of Protestants who, whatever their religious temperature may be, will certainly decline to see Protestantism penalised. The Protestants in Ireland have a million and a quarter, and they make ...
— The Open Secret of Ireland • T. M. Kettle
... bountiful—in one word, of all that is graceful and gracious in the human character. The fact is strange, but the fact is there; and being there, we must face it and explain it. Of course, the Apostles use the word grace in a far deeper and loftier meaning; raise it, mathematically speaking, to a far higher power. There is no need to remind you of that. But why did they choose and use the word at all—a word whose old meaning every heathen knew—unless for some innate fitness in it to express something in the character of God? To tell men that ...
— All Saints' Day and Other Sermons • Charles Kingsley
... "Nevertheless, it isn't mathematically exact proof, because the equinox needn't fall ...
— 20000 Leagues Under the Seas • Jules Verne
... and ceremony; of Church government and ritual; how small they are, how unutterably trivial, compared to the great facts of the Fatherhood of God, and the sacrifice of Christ! Did the Power who made every one of us with different faces and different forms, expect us all to think mathematically alike? I cannot believe it! It is our duty to trust in God and love our brethren; to live together in peace, seeing the best in each other, acknowledging the best, thinking no evil! To see men who make a profession ...
— Big Game - A Story for Girls • Mrs. George de Horne Vaizey
... or barrier of lava and scoriae that composed the outer wall of this crater, was almost mathematically circular. Its inner precipice was in most places absolutely perpendicular, though overhanging in a few; there being but two or three spots where an active man could descend in safety. The area within might contain a hundred acres while the wall preserved a very even height of ...
— The Crater • James Fenimore Cooper
... records in the laboratory, looking them over under a microscope—yes. I can count the overtones, say, in a singing voice, and it is on the overtones that the richness depends. I can recognize a voice— mathematically. In short," Craig concluded enthusiastically, "it is what you might call the Bertillon measurement, the finger- print, the portrait parle of ...
— The Ear in the Wall • Arthur B. Reeve
... we have only derived from other disciplines. Those derived from our own are very few indeed, and to get more we have very far to go. Moreover, the laws of experience are in no way so certain as they are supposed to be, even when mathematically conceived. The empirical law is established that the sum of the three angles of a triangle is equal to two right angles. And yet nobody, ever since the science of surveying has been invented, has succeeded in discovering 180 degrees in any triangle. Now then, when even such ...
— Robin Hood • J. Walker McSpadden
... surfaces, wherever they have been washed by the sea, are of great beauty: nothing can be more irregular than the outline of each mass, and yet scarce anything more regular than the sculpturings on every part of it. We find them fretted over with polygons, like those of a honeycomb, only somewhat less mathematically exact, and the centre of every polygon contains its many-rayed star. It is difficult to distinguish between species in some of the divisions of corals: one Astrea, recent or extinct, is sometimes found so exceedingly like another of some very different ...
— The Cruise of the Betsey • Hugh Miller
... words explain Wolff's whole system. He would make doctrine so plain by mathematical demonstration that it must be accepted. But the poison of his theory lay in the assumption that what could not be mathematically demonstrated was either not true or not fit to be taught. He sets out with the principle that the human intellect is capable of knowing truth. He divides his philosophy into two parts: first, the theoretical: second, the practical. The former he subdivides ...
— History of Rationalism Embracing a Survey of the Present State of Protestant Theology • John F. Hurst
... 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, they provoke discussion, through the openings of which, ...
— Lands of the Slave and the Free - Cuba, The United States, and Canada • Henry A. Murray
... conquest of the world? But, you ask, how can good and learned people differ so in their beliefs? We may not understand how it is, but we know it is and ever has been so. Our minds are so constituted that we must see all truths alike, logically, mathematically and in every other way, if we see them at all. The trouble is that our vision is so warped through prejudice and limited ideas and information that we fail to see the simplest truths, and find in the Bible and elsewhere ...
— To Infidelity and Back • Henry F. Lutz
... [Poiret turns crimson with distress.] "Suppose we formulate the whole matter in a maxim worthy of Larochefoucault: Officials with salaries of twenty thousand francs are not clerks. From which we may deduce mathematically this corollary: The statesman first looms up in the sphere of higher salaries; and also this second and not less logical and important corollary: Directors-general may be statesmen. Perhaps it is in that sense that more than one deputy says in his heart, 'It is a fine thing ...
— Bureaucracy • Honore de Balzac
... "Death of S. Francis" in S. Trinita at Florence, or that again of the "Birth of the Virgin" in S. Maria Novella? There is something irritating in pure common sense imported into art, and Ghirlandajo's masterpieces are the apotheosis of that quality. How correct, how judicious, how sagacious, how mathematically ordered! we exclaim; but we gaze without emotion, and we turn away without regret. It does not vex us to read how Ghirlandajo used to scold his prentices for neglecting trivial orders that would fill his purse with money. ...
— Renaissance in Italy Vol. 3 - The Fine Arts • John Addington Symonds
... impatiently, staring at the so-simple, yet incredible device whose theory had been mathematically proven numberless times, but never put into ...
— Astounding Stories of Super-Science January 1931 • Various
... wholly to 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 ...
— The Survivors of the Chancellor • Jules Verne
... the 15th day being cownted the 25, 50, 10 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
... burning couch is carried across the meadows from the lately-ploughed stubble, where the weeds have been collected in heaps and fired. The stubble itself, short and in regular lines, affords less and less cover every year. As the seed is now drilled in, and the plants grow in mathematically straight lines, of course when the crop is reaped, if you stand at one side of the field you can see right across between the short stubbs, so that a mouse could hardly find shelter. Then quickly come the noisy steam ploughing engines, after them the couch ...
— Hodge and His Masters • Richard Jefferies
... monks, and on the second occasion accepted, but d. of the plague within 40 days. He wrote on geometry, but his great work was De Causa Dei (on the Cause of God against Pelagius), in which he treated theology mathematically, and which earned for him from the Pope the title of the ...
— A Short Biographical Dictionary of English Literature • John W. Cousin
... which the raw material is equally available. What is this something? At first we might be inclined to attribute the development of cosmic energy to the etheric particles themselves, but a little consideration will show us that this is mathematically impossible in a medium which is equally distributed throughout space, for all its particles are in equilibrium and so no one particle possesses per se a greater power of originating motion than any other. Consequently the initial movement must ...
— The Creative Process in the Individual • Thomas Troward
... Trinity; and then, that the first ended in S, the second in M, the third in U, there was in it an ineffable mystery, to wit, those three letters declaring to us that he was the beginning, middle, and end (summum, medium, et ultimum) of all. Nay, the mystery was yet more abstruse; for he so mathematically split the word Jesus into two equal parts that he left the middle letter by itself, and then told us that that letter in Hebrew was schin or sin, and that sin in the Scotch tongue, as he remembered, ...
— The Praise of Folly • Desiderius Erasmus
... such an idea as impossible of fulfilment. The leading electricians, physicists, and experts of the period had been studying the subject for more than a quarter of a century, and with but one known exception had proven mathematically and by close reasoning that the "Subdivision of the Electric Light," as it was then termed, was practically beyond attainment. Opinions of this nature have ever been but a stimulus to Edison when he ...
— Edison, His Life and Inventions • Frank Lewis Dyer and Thomas Commerford Martin
... 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
... therefore the mortality of the 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 ...
— Modern Economic Problems - Economics Vol. II • Frank Albert Fetter
... folding the newspaper into an accurate square, and putting it away in a brass-bound cage; collecting scattered envelopes and putting them in the waste-paper basket, moving the flower-vases on the chimney-piece, so that they should stand at mathematically the same distance from the central clock. At every movement she waited to hear the expected, "Can I help you, Aunt Sophia?" which right feeling would surely prompt in any well-principled damsel, and though her reply would of a certainty have been in the negative, she felt aggrieved ...
— Flaming June • Mrs. George de Horne Vaizey
... be the child of his age. For example, he almost always paints the interiors of his Gothic cathedrals on broad canvases of insignificant height, which causes the pointed arches and vaulted structures of the foreground to be cut off at the top. In spite of the mathematically correct drawing the general plan of the picture therefore reveals that the age of Peter Neefs no longer had a correct eye for the principle, for the spirit, of the Gothic, otherwise the master would not have cut off precisely the characteristic terminations of the columns and vaultings by the arbitrary ...
— The German Classics of The Nineteenth and Twentieth Centuries, Vol. VIII • Various
... 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 ...
— Proportional Representation - A Study in Methods of Election • John H. Humphreys
... quarter of his army, he was advancing to certain destruction, and it must have been equally clear to Kutuzov that by accepting battle and risking the loss of a quarter of his army he would certainly lose Moscow. For Kutuzov this was mathematically clear, as it is that if when playing draughts I have one man less and go on exchanging, I shall certainly lose, and therefore should not exchange. When my opponent has sixteen men and I have fourteen, I am only one eighth weaker than he, but when I have exchanged thirteen more men he will be three ...
— War and Peace • Leo Tolstoy
... not always work out with mathematical directness. Most things in the physical, as in the metaphysical, world work out as Ruskin says "not mathematically, but chemically." Though this may seem a far-fetched simile in connection with our dinner, it is a true one. To get back to our nuts. If after a meal of several courses, rich in quality and variety, highly-spiced and flavoured, and perhaps interspersed with little piquant ...
— Reform Cookery Book (4th edition) - Up-To-Date Health Cookery for the Twentieth Century. • Mrs. Mill
... bookmaker cannot lose, no matter how events may go. On the other hand, the man who makes wagers on what he is pleased to term his "fancies" has everything against him. The chances of his choosing a winner in the odious new sport are hardly to be mathematically stated, and it may be mathematically proved that he must lose. Then, apart from the money loss, what an utterly ignoble and unholy pursuit this trapped-hare coursing is for a manly man! Surely the heart of compassion in any one not ...
— The Ethics of Drink and Other Social Questions - Joints In Our Social Armour • James Runciman
... your own now sitting in Parliament, the chief of learned men reputed in this land, Mr. Selden; whose volume of natural and national laws proves, not only by great authorities brought together, but by exquisite reasons and theorems almost mathematically demonstrative, that all opinions, yea errors, known, read, and collated, are of main service and assistance toward the speedy attainment of what is truest. I conceive, therefore, that when God did enlarge the universal diet of man's ...
— Areopagitica - A Speech For The Liberty Of Unlicensed Printing To The - Parliament Of England • John Milton
... coal," he observed. "Catherine has made it thoroughly clear, and you have told me so till I am sick of it. You needn't tell me again; I am perfectly satisfied. He will never give us a penny; I regard that as mathematically proved." ...
— Washington Square • Henry James
... Ferrers was just the man to resist the 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
... Einstein's final equations only held in a universe composed entirely of normal matter. Since the great Einstein had died before the Principle of Parity had been overthrown in the mid-fifties, he had been unable to incorporate the information into his Unified Field Theory. Nordred had been able to show, mathematically, that Einstein's equations were valid only for a completely "dexter," or right-handed universe, or for a completely "sinister" ...
— Psichopath • Gordon Randall Garrett
... 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 ...
— Classic French Course in English • William Cleaver Wilkinson
... anxious to learn the nature of such a ring. [Page 172] Laplace mathematically demonstrated that it cannot be uniform and solid, and survive. Professor Peirce showed it could not be fluid, and continue. Then Professor Maxwell showed that it must be formed of clouds of satellites too small ...
— Recreations in Astronomy - With Directions for Practical Experiments and Telescopic Work • Henry Warren
... German cutler, came from Schaffhausen. In this particular region of English nomenclature a little guessing is almost excusable. The law of probabilities makes it mathematically certain that the horde of immigrants included representatives of all the very common French family names, and it would be strange if Chappuis ...
— The Romance of Names • Ernest Weekley
... mean moderately flat country, low sweeps of land, like the heaving of a dying groundswell; that has a miniature beauty, a stippled delicacy of its own, but it is not a fine quality of charm. The country that I would praise is the rigidly and mathematically flat country of Eastern England, lying but a few feet above the sea, plains which were once the bottoms of huge and ...
— The Thread of Gold • Arthur Christopher Benson
... scholar, fresh 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 inches beneath the tough stem he sought to grasp, and once in motion, he could not ...
— The Black Tor - A Tale of the Reign of James the First • George Manville Fenn
... find it; whereupon he stood up and raised it to his lips. Then placing it in his breast-pocket—the nearest receptacle to a man's heart permitted by modern raiment—he ascended the valley in a mathematically direct line towards his distant ...
— The Return of the Native • Thomas Hardy
... we all know 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 ...
— Real Folks • Mrs. A. D. T. Whitney
... 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 ...
— A Theologico-Political Treatise [Part II] • Benedict de Spinoza
... 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 ...
— Criticisms on "The Origin of Species" - From 'The Natural History Review', 1864 • Thomas H. Huxley
... however, at present, neither the morality nor the present mental excentricity of the capitalist is so material as the possibility of his acquiring flexibility under pressure, for it would seem to be almost mathematically demonstrable that he will, in the near future, be subjected to a pressure under which he must develop flexibility ...
— The Theory of Social Revolutions • Brooks Adams
... myself, "I don't know what you are looking at, but I do know it's something you want awfully," and just then she turned and faced me. My heart gave a plunge against my side. I knew her. One woman's glance, lightning-quick, mathematically true, and I had her photograph—the last, the very last I ever ...
— Stage Confidences • Clara Morris
... of the criticism which will at once be passed on what I now advance. Local representation through choice by numerical majorities within given confines, geographically and mathematically fixed, is a system so rooted and intrenched in the convictions and traditions of the American community that even to question its wisdom evinces a lack of political common-sense. It in fact resembles nothing so much as the attempt to whistle down ...
— 'Tis Sixty Years Since • Charles Francis Adams
... to try to restrict finality to the individuality of the living 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 ...
— Creative Evolution • Henri Bergson
... here for the first time combined the arts of 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, but as being ...
— The Life of Michelangelo Buonarroti • John Addington Symonds
... we may so express it, of a globe is turned out of a piece of wood. This sphere need not be mathematically accurate. It is for rough work, and flaws and cracks are of little consequence. This wooden ball has an axis, a piece of iron wire at each pole. And here we may remark, that, at every stage of the process, the revolution of a sphere upon its axis, under the hands of the workman, is the ...
— Harper's New Monthly Magazine, Volume 1, No. 2, July, 1850. • Various
... times, and the sequence is merely in the order in which they are successively known to ourselves. But according to Spinoza, this is the only true sequence; and what we call the universe, and all the series of incidents in earth or planet, are involved formally and mathematically ...
— Short Studies on Great Subjects • James Anthony Froude
... afternoon, in the direction of the Tangent, our course was not mathematically correct, for the wind did not favor us, and it was impossible to sail in a right line; but the sun was still high when we reached the larger island, and made the boat ...
— The House of Martha • Frank R. Stockton
... conquered after by a few of Caesar's legions, and by a horde of Bourguignons, and lastly by a horde of Sicamores, under one Clodovic, had previously subjugated the whole world, and given their names and laws to Asia, seems to me to be very strange: the thing is not mathematically impossible, and if it be demonstrated, I give way; it would be very uncivil to refuse to the Velches what one accords to ...
— Voltaire's Philosophical Dictionary • Voltaire
... From the point of view of philosophy, however, the discovery that a 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
... be more hopeless than such negotiations? What more dreary than the perpetual efforts of two lines to approach each other which were mathematically incapable of meeting? That the young republic, conscious of her daily growing strength, should now seek refuge from her nobly won independence in the protectorate of Albert, who was himself the vassal ...
— The Rise of the Dutch Republic, 1555-1566 • John Lothrop Motley
... occurrence of panelled compartments, and the partial change of form in the arches, especially of doorways and windows, which in the latter part of the fifteenth century were often obtusely pointed and mathematically described from four centres, instead of two, as in the more simple pointed arch, and which from the period when this arch began to be prevalent was called the TUDOR arch, together with a great profusion of minute ornament, mostly of a description not before in use, are the chief characteristics ...
— The Principles of Gothic Ecclesiastical Architecture, Elucidated by Question and Answer, 4th ed. • Matthew Holbeche Bloxam
... leaving an increased part to white laborers, bringing their labor into greater demand, and consequently enhancing the wages of it. With deportation, 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 and ...
— A Compilation of the Messages and Papers of the Presidents: Lincoln - Section 1 (of 2) of Volume 6: Abraham Lincoln • Compiled by James D. Richardson
... Charteris 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, ...
— The Rivet in Grandfather's Neck - A Comedy of Limitations • James Branch Cabell
... 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 punch bowl ...
— The Hunters of the Ozark • Edward S. Ellis
... this truth mathematically is not difficult. Thus, when a represents the amount of blood of the whole body, b the amount of the remedy, e the amount of atmospheric compression, and x the pharmaco-dynamic potentiality which we are seeking, we shall then have ...
— Scientific American Supplement No. 822 - Volume XXXII, Number 822. Issue Date October 3, 1891 • Various
... crowns for their poor from Mother Marie-des-Anges, who informed them that it came from a benefactor who did not wish his name known. Sallenauve is furious because our partisans are going about saying that the money came from him. But when you are running before the wind you can't mathematically measure each sail, and you sometimes get more of a breeze than you ...
— The Deputy of Arcis • Honore de Balzac
... appeared, but 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 ...
— Tramping Through Mexico, Guatemala and Honduras - Being the Random Notes of an Incurable Vagabond • Harry A. Franck
... 'tubing'] 1. Hacking on an IPSC (Intel Personal SuperComputer) hypercube. "Louella's gone cubing *again*!!" 2. Hacking Rubik's Cube or related puzzles, either physically or mathematically. 3. An indescribable form of self-torture ...
— The Jargon File, Version 4.0.0
... dead ahead, just skimming the surface of the water, and coming straight at us, like a mathematically arranged triangle of cannon balls, taking definite form and magnitude oh, so swiftly, unbelievably swift; coming—yes—directly overhead, as before, the pulsing, echoing din ...
— A Breath of Prairie and other stories • Will Lillibridge
... widest part, and tapers to the east and west. As if nature aimed to provide for two distinct communities, a precipitous mountain spur, which sprawls several hundred miles north and south, ribs the territory almost mathematically in the centre, and tumbles onward, broken and disjointed, to the shores of the Caribbean Sea. The rumors that gold and diamonds are awaiting garnering in the wild solitudes have roused the earth hunger of more than one powerful nation, but the grim dragon that ...
— Up the Forked River - Or, Adventures in South America • Edward Sylvester Ellis
... then, 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 many other vertical linear sections of the same series, of course, corresponding ...
— Discourses - Biological and Geological Essays • Thomas H. Huxley
... regard to Christianity, into an attitude of vehement antagonism. With a view to securing answers to his missives, he printed a short abstract of Hume's and other arguments against the existence of a Deity, presented in a series of propositions, and signed with a mathematically important "Q.E.D." This document he forwarded to his proposed antagonists, expressing his inability to answer its arguments, and politely requesting them to help him. When it so happened that any incautious correspondents acceded to this appeal, Shelley fell with merciless ...
— Percy Bysshe Shelley • John Addington Symonds
... entrenched behind a battery of ten or twelve guns, charged with a stinking combustible called tobacco. Two or three of these he had fired off, and replaced them in the same order. A fourth he levelled so mathematically against me, that I was hardly able to maintain my post, though I assumed the character and dignity of ambassador from the republic of letters. 'I am sorry for your republic,' said Hobbes, 'for if they send you to me ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 19, - Issue 553, June 23, 1832 • Various
... Professor Smyth), "that wonder within a wonder of the Great Pyramid—viz., the porphyry coffer,"—that "chief mystery and boon to the human race which the Great Pyramid was built to enshrine,"—"this vessel of exquisite meaning," and of "far-reaching characteristics,"—mathematically formed under alleged Divine inspiration as a measure of capacity (and, according to M. Jomard, probably of length also) for all men and all nations, for all time,—and particularly for these latter profane times,—is, in simple truth, nothing more and nothing less ...
— Archaeological Essays, Vol. 1 • James Y. Simpson
... man to destruction quicker than a system that can be mathematically demonstrated. It gives an air of business to gambling which is soothing to the conscience of a person brought up on statistics. The system generally works beautifully at first; then a cog slips and you are mangled in the machinery before you know where you are. As young Forme left the ...
— The Face And The Mask • Robert Barr
... 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 ...
— Autobiography of Sir George Biddell Airy • George Biddell Airy
... things were said above about the straight line and the circle, on account of their lack of variety, and it is true that a mathematically straight line, or a mathematically perfect circle, are never found in good artistic drawing. For without variety is no charm or life. But these lines possess other qualities, due to their maximum amount of unity, that give ...
— The Practice and Science Of Drawing • Harold Speed
... replies given to our questions is hereby destroyed. For most questions are in matters that do not admit of a secret. There the qualification, secrets apart, which may be said to attach to all answers, has no value and meaning: it is mathematically equal to zero; and we may take the answer in full assurance just as it reaches our ear. Again, when a person volunteers a statement unasked, he cannot be supposed to be reserving secrets. But when delicate subjects are touched ...
— Moral Philosophy • Joseph Rickaby, S. J.
... got all ten books from a very ancient manuscript that came down from Paris. Our simpler stemma indicates the presence of one rather than more than one such manuscript in the vicinity of Paris in the ninth or the tenth century and again in the fifteenth. This line of argument, which presents not a mathematically absolute demonstration but at least a highly probable concatenation of facts and deductions, warrants the assumption, to be used at any rate as a working hypothesis, that {Pi} is a fragment of the lost Parisinus which contained all the ...
— A Sixth-Century Fragment of the Letters of Pliny the Younger • Elias Avery Lowe and Edward Kennard Rand
... 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 sword ...
— A Military Genius - Life of Anna Ella Carroll of Maryland • Sarah Ellen Blackwell
... 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
... 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
... tracks I left, Mart," and the two men bent over the 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 ...
— Skylark Three • Edward Elmer Smith
... we increase the velocity, we find the difficulty to increase very rapidly, and if we try to strike a quick blow through the water, we find the resistance so enormous that the effort is almost paralyzed. Mathematically, the resistance increases in the ratio of the square of the velocity; and although the air is of course more easily displaced than water, the same rule applies to it, and the flight of a ball is so inconceivably rapid that the resistance becomes enormous. ...
— Atlantic Monthly, Volume 10, Number 59, September, 1862 • Various
... About a hundred and fifty people were trying to sit down in a hundred seats. The stewards looked harassed as they explained that there was another meal-time half an hour after the first. Knollys was trying, with impassive dignity, to prove mathematically to an old lady that by waiting until six o'clock for her tea to-day and automatically shifting all her meal-times on half an hour she was losing nothing; and, after all, it would all be the same whether she had her tea at five or six ...
— Captivity • M. Leonora Eyles
... unconsciously but unavoidable cemented into closer and closer union; the limbs require little more than to be put in motion for them to follow a regular track with ease and certainty; so that the mere intention of the will acts mathematically like touching the spring of a machine, and you come with Locksley in Ivanhoe, in shooting at a mark, 'to ...
— Table-Talk - Essays on Men and Manners • William Hazlitt
... certain there were others. For the sake of simplicity, he had assumed circular orbits and calculated their approximate orbital velocities from their distance from the sun. He had determined the mass of the sun from direct weighings aboard their ship. He soon had a fair diagram of the system constructed mathematically, and experimental observation showed it to be a very ...
— Islands of Space • John W Campbell
... at a 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, your ...
— Spacehounds of IPC • Edward Elmer Smith
... was unruly 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 no possible comparison there. Both ...
— Old Rose and Silver • Myrtle Reed
... rewritten more or less after every performance. They didn't get the curtain down on the first one until five minutes after twelve—for even an experienced director like Galbraith can make a mistake in timing—and the mathematically demonstrated necessity for cutting, or speeding, a whole hour out of the piece, tamed even the wild-eyed Mr. Mills. The principals, after having for weeks been routined in the reading of their lines and the ...
— The Real Adventure • Henry Kitchell Webster
... are not quite sure how Dr Falconer in tends to apply the law of phyllotaxis to illustrate his idea, we fancy that a pertinent illustration may be drawn from it in this way. There are two species of phyllotaxis, perfectly distinct, and we suppose, not mathematically reducible the one to the other, viz.: (1.) That of alternate leaves, with its vane ties and (2.) That of verticillate leaves, of which opposite leaves present the simplest case That although generally constant a change from one variety of alternate ...
— Darwiniana - Essays and Reviews Pertaining to Darwinism • Asa Gray
... with the small mirror in his large telescope. The large mirror is not mathematically centred in the large tube that contains it, but is placed rather obliquely in it. This slight obliquity causes the images to be formed not in the axis of the tube, but very near its circumference, or outer mouth, we may call it. The observer may therefore look ...
— Biographies of Distinguished Scientific Men • Francois Arago
... special care with their work near public roads, so that the furrows end on to the base of the highway shall be mathematically straight. They often succeed so well that the furrows look as if traced with a ruler, and exhibit curious effects of vanishing perspective. Along the furrow, just as it is turned, there runs a shimmering light as the eye ...
— A Week's Tramp in Dickens-Land • William R. Hughes
... is invisible, and all the objects, acting as mirrors for these reflections, will consequently influence each other. Their colours will affect each other, even if the surfaces be dull. A red vase placed upon a blue carpet will lead to a very subtle, but mathematically exact, interchange between this blue and this red, and this exchange of luminous waves will create between the two colours a tone of reflections composed of both. These composite reflections will form a scale of tones complementary of the two principal colours. The science of optics can ...
— The French Impressionists (1860-1900) • Camille Mauclair
... only real things. The formula for it was "Universalia ante rem." By it the general name preceded that of the species. Universal concepts represent the real; all else is merely illustrative of the real. The only real sphere is the one held in the mind, mathematically correct in every way. Balls and globes and other actual things are but the illustrations of the genus. Perhaps Anselm was the strongest advocate of this ...
— History of Human Society • Frank W. Blackmar
... wind of popular interest which scattered the storm, leaving only the gentle patter of a summer shower. The critics applauded; but society applied its lorgnette to its eye and discovered that, in his excitement, Arlt had neglected to make sure that his tie was mathematically straight. The patter died away into silence. Then the wind veered again and the storm broke out afresh, mingled with cries of ...
— The Dominant Strain • Anna Chapin Ray
... subject, and one, too, whose statements are mathematically accurate, is Vitruvius, who also distinctly points out the great difference between the Greek and Roman theatres. But these and similar passages of the ancient writers have been most incorrectly interpreted by architects unacquainted with the ancient dramatists [Footnote: ...
— Lectures on Dramatic Art and Literature • August Wilhelm Schlegel
... 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 swooning passion of grief, ...
— The Philosophy of the Plays of Shakspere Unfolded • Delia Bacon
... of the planet Uranus. The suggestion occurred that an unseen planet was deflecting it from the path it should, from observation and calculation, be following. If this were the case, from the amount of deflection it was mathematically calculated, prior to any further observation, that the supposed planet should appear at a certain point in space. It was by this deductive elaboration that the planet Neptune was discovered. It was figured out deductively that a planet deflecting the path of the planet Uranus by just so-and-so ...
— Human Traits and their Social Significance • Irwin Edman
... this phenomenon under the heading of the Weber-Fechner law, after the two physiologists who gave it prominence. James pokes a good deal of fun at the "law," which is expressed mathematically. Perhaps the mathematics should have been eliminated as too "scientific" for our present attainment, but it does remain true that it is not the ACTUAL stimulus increase that is important in sensation or perception, but the RELATIVE stimulus increase. This is behind all ...
— The Foundations of Personality • Abraham Myerson
... 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 ...
— Edge of the Jungle • William Beebe
... "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 what you had ...
— The Taming of Red Butte Western • Francis Lynde
... Exchange, this mortifying sense of my own insignificance has often come upon me with the energy of a pang; and I have thought, that, after all we can say of any man, the effect of the greatest influence of an individual on society at large, is but as that of a pebble thrown into the sea. Mathematically speaking, the undulations which the pebble causes, continue until the whole mass of the ocean has been disturbed to the bottom of its most secret depths and farthest shores; and, perhaps, with equal truth it may ...
— The Ayrshire Legatees • John Galt
... professor of applied mathematics. I had happened to say that, while it was well each student should have the opportunity to acquire all he could in that department, I did not think it necessary that every officer of the deck should be able to calculate mathematically the relation between a weight he had to hoist on board and the power of the purchase he was about to use; which I think a mild proposition, considering the centuries during which that knowledge had been dispensed with. "Oh, I differ with you," he replied; "I think it of the utmost importance ...
— From Sail to Steam, Recollections of Naval Life • Captain A. T. Mahan
... such a wheel is shaped like an open clam shell, the central line which cuts the stream of water into halves being ground to a sharp edge. The curves which absorb the momentum of the water are figured mathematically and in practice become polished like mirrors. So great is the eroding action of water, under great heads—especially when it contains sand or silt—that it is occasionally necessary to replace these buckets. For ...
— Electricity for the farm - Light, heat and power by inexpensive methods from the water - wheel or farm engine • Frederick Irving Anderson
... the former is invariable, the latter is variable, and that the operation of the same invariable upon different variables must necessarily produce a variety of results. This at once becomes evident if we state it mathematically; for example, a, b or c, multiplied by x give respectively the results ax, bx, cx, which differ materially from one another, though the factor x always ...
— The Hidden Power - And Other Papers upon Mental Science • Thomas Troward
... 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
... 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 ...
— Casa Braccio, Volumes 1 and 2 (of 2) • F. Marion Crawford
... perfectly explains all the observations, is not correctly inferred." We will not here enumerate the cases to which suspicion might be directed, neither will we more than just allude to the fact, that the Theory of Newton requires a vacuum, in order that the planetary motions may be mathematically exact, and permanent ...
— Outlines of a Mechanical Theory of Storms - Containing the True Law of Lunar Influence • T. Bassnett
... from the utmost possible distance that a man may have to travel in the three cases, can be calculated mathematically. It would be out of place here to give the working of the little problem, but I append the rough numerical results in ...
— The Art of Travel - Shifts and Contrivances Available in Wild Countries • Francis Galton
... there are indications, repeated again and again, showing the existence of a cause which, unless counteracted, will eventually produce certain disastrous effects. Though seen and pointed out by many wise men, still the existence of the cause cannot be logically proved, nor the time of its effect mathematically calculated. Such were the terrible premonitions which foretold the French Revolution, and such are the signs showing over and over again the existence of a mechanical tendency in our own social state. Very seldom, ...
— Continental Monthly , Vol V. Issue III. March, 1864 - Devoted to Literature and National Policy • Various
... 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 arousing his ...
— Jan - A Dog and a Romance • A. J. Dawson
... 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). But the ...
— Homer and His Age • Andrew Lang
... coming from a dormant bud. Here is manifested one of Nature's energy-saving devices, shoot, leaves, flowers and fruit spring in a short season from a single bud. In the light of this fact, pruning should be looked on as a simple problem to be solved mathematically and not as a puzzle to be untangled, as so many regard it. For an example, a problem in pruning is ...
— Manual of American Grape-Growing • U. P. Hedrick
... the Canadian youth 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 ...
— The Radio Boys in the Thousand Islands • J. W. Duffield
... pleading, and fraught with national prejudice, to defend, like the philosopher Grassi,[593] the persecutor of Galileo, principles {263} and reasoning which, unless you are actually insane, or an ignorant quack in mathematics, you know are mathematically false. What a moral lesson this for the students of the University of London from its head! Man! demonstrate corollary 3, in this note, by the lying dogma of Newton, or turn your thoughts to ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan
... an excellent idea. He sat down at the table and counted the crosses. There were fourteen of them. The different lodes were laid off in mathematically exact rectangles, running in many directions. A few joined one another, but most lay isolated. Their relative positions were a trifle confusing at first, but, after a little earnest study, Bennington thought he understood them. He could start with ...
— The Claim Jumpers • Stewart Edward White
... for the physical laws or for the objective conditions of the beautiful, it has been asked: To what physical facts does the beautiful correspond? To what the ugly? To what unions of tones, colours, sizes, mathematically determinable? Such inquiries are as if in Political Economy one were to seek for the laws of exchange in the physical nature of the objects exchanged. The constant infecundity of the attempt should have at once given rise to some suspicion as to its vanity. ...
— Aesthetic as Science of Expression and General Linguistic • Benedetto Croce
... were ingenious, what shall we think of the calculating machine of Mr. Babbage? What shall we think of an engine of wood and metal which can not only compute astronomical and navigation tables to any given extent, but render the exactitude of its operations mathematically certain through its power of correcting its possible errors? What shall we think of a machine which can not only accomplish all this, but actually print off its elaborate results, when obtained, without the slightest intervention ...
— The Works of Edgar Allan Poe - Volume 4 (of 5) of the Raven Edition • Edgar Allan Poe
... up that I might see there were still 811 pennies to her credit. I inquired of some of the boys how much 811 pennies put into dollars and cents would amount to, but all were so visibly embarrassed that I, remembering my own mathematically tortured childhood, desisted before the schoolmaster could hear. On leaving, the boys again jumped up as one, and shouted their unanimous "Good-bye," and long after we were out of sight, we could hear their high young voices studying aloud, each for himself, and apparently undisturbed ...
— A Woman's Journey through the Philippines - On a Cable Ship that Linked Together the Strange Lands Seen En Route • Florence Kimball Russel
... become a traveller has loosened himself from his old customary moorings, and so gives himself, as it were, a new starting-point in life, from which he may, if the spirit of delusion is still happily strong within him, draw a mathematically straight line in the given direction A B, to be the faithful index of his ...
— Blackwood's Edinburgh Magazine - Volume 55, No. 344, June, 1844 • Various
... "Adepts" are asked to meddle with astronomy—a science which, of all the branches of human knowledge has yielded the most accurate information, afforded the most mathematically correct data, and of the achievements in which the men of science feel the most justly proud! It is true that on the whole astronomy has achieved triumphs more brilliant than those of most other sciences. But if it has done much in the direction of satisfying man's straining and ...
— Five Years Of Theosophy • Various
... this clew 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 ...
— A History of Science, Volume 3(of 5) • Henry Smith Williams
... 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, ...
— The Edinburgh Lectures on Mental Science • Thomas Troward
... easy production; a poet's genius may not be diminutive because his pieces are so; nor must we call them, as a fine sonnet has been called, a difficult trifle. A circle may be very small, yet it may be as mathematically beautiful and perfect as a larger one. To such compositions we may apply the observation of an ancient critic, that though a little thing gives perfection, yet perfection is ...
— Literary Character of Men of Genius - Drawn from Their Own Feelings and Confessions • Isaac D'Israeli |
