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Infinitesimal   Listen
adjective
Infinitesimal  adj.  Infinitely or indefinitely small; less than any assignable quantity or value; very small.
Infinitesimal calculus, the different and the integral calculus, when developed according to the method used by Leibnitz, who regarded the increments given to variables as infinitesimal.






Collaborative International Dictionary of English 0.48








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"Infinitesimal" Quotes from Famous Books



... cigarette from the stump of the one he had been smoking—inhaled a great puff, and continued. His manner was that of a man under great mental stress—as though he was struggling to recall every infinitesimal detail which might possibly have a ...
— Midnight • Octavus Roy Cohen

... Germans appear to have been not so successful, we can only wonder that our own blunders and brutalities were less severely punished. Even on the field of Samoa, though German faults and aggressions make up the burthen of my story, they have been nowise alone. Three nations were engaged in this infinitesimal affray, and not one appears with credit. They figure but as the three ruffians of the elder playwrights. The United States have the cleanest hands, and even theirs are not immaculate. It was an ambiguous business when a private American adventurer ...
— The Works of Robert Louis Stevenson - Swanston Edition Vol. 17 (of 25) • Robert Louis Stevenson

... infinitesimals are made use of, which could never have been if their existence included a contradiction in it; I answer that upon a thorough examination it will not be found that in any instance it is necessary to make use of or conceive infinitesimal parts of finite lines, or even quantities less than the minimum sensible; nay, it will be evident this is never ...
— A Treatise Concerning the Principles of Human Knowledge • George Berkeley

... develop it. But such slightly increased development of the legs is transmitted to the offspring of the bird, which in turn develops its already improved legs by its individual efforts, and transmits the improved tendency. Generation after generation this is repeated, until the sum of the infinitesimal variations, all in the same direction, results in the production of the long-legged wading-bird. In a similar way, through individual effort and transmitted tendency, all the diversified organs of all creatures have been developed—the ...
— Evolution - An Investigation and a Critique • Theodore Graebner

... any form of light save the faint twinklings of the far-off stars. Without the surface of some globe to reflect the sun's rays, no light of any kind would be possible; so that if life were conveyed across space, from star to star, upon infinitesimal specks of dust, under the influence of light pressure, as postulated by Arrhenius (Worlds in the Making, pp. 212-30), this life must exist, and in a sense originate, in the blackness of inter-stellar space.[10] And, finally, if life on our globe originated, as many think, in the ocean's depths,[11] ...
— The Problems of Psychical Research - Experiments and Theories in the Realm of the Supernormal • Hereward Carrington

... the voice leaves shook, and a boy came striding into the sunlight. In one hand he trailed a gun, and at his heels trotted a waggish spaniel of immense importance and infinitesimal size. In his other hand the boy carried by the legs a splendid cock-grouse, ruffled and hunger-compelling. The boy, perhaps two years older than Aladdin, was big and strong for his age, and bore his shining ...
— Aladdin O'Brien • Gouverneur Morris

... form; and this brings us to the very heart of the matter. We must at length face the one conclusion which does not land us in self-contradiction—viz., that in the act of creation God limits His own infinity, no matter to how infinitesimal an extent. On the alternative supposition we have ultimately to think of God and man either as All plus something or All plus zero—which is absurd. Mr. Chesterton has rendered useful service by insisting that in creating the world God distinguishes Himself from the world, ...
— Problems of Immanence - Studies Critical and Constructive • J. Warschauer

... limits to our wishes, curb our desires, moderate our anger, always remembering that an individual can attain only an infinitesimal share in anything that is worth having; and that, on the other hand, everyone must incur many of the ills of life; in a word, we must bear and forbear—abstinere et sustinere; and if we fail to observe this rule, no position of wealth or power will prevent us ...
— Counsels and Maxims - From The Essays Of Arthur Schopenhauer • Arthur Schopenhauer

... a uniform dull grey, lifeless. The cellar was formidable below, and the stairs curved upwards into the formidable. But he climbed them. The house seemed full of inexplicable noises. When he stopped to listen he could hear scores of different infinitesimal sounds. His spine thrilled, as if a hand delicate and terrible had run down it in a caress. All the unknown of the night and of the universe was pressing upon him, but it was he alone who had created the night and the universe. ...
— Clayhanger • Arnold Bennett

... that since animals show, unmistakably, that they are, in a measure, fully conscious of certain phenomena in the economy of nature, and while I am not prepared to state that any element of worship enters into their regard, I yet believe that an infinitesimal increase in the development of their psychical beings would, undoubtedly, lead some of them to a natural religion such as our ...
— Religion and Lust - or, The Psychical Correlation of Religious Emotion and Sexual Desire • James Weir

... discovered it revealed a whole new world of infinitesimal beings which were at first supposed to be of spontaneous origin; but careful scientific investigation has shown that even these mere specks of life are not independent of parentage. M. Pasteur and, more recently, Prof. Tyndall, ...
— Plain Facts for Old and Young • John Harvey Kellogg

... form of life has its Zodiac, its orbit of life and destiny. It may be infinitesimal, or vast beyond conception, each in its own peculiar plane. So we see that, the whole visible universe is one vast organism, the medium of expression for the invisible, real universe— the soul and God, the great ...
— The Light of Egypt, Volume II • Henry O. Wagner/Belle M. Wagner/Thomas H. Burgoyne

... interested in Lurcher for his own miserable sake, too. He had lived by himself in this wretched lodging for years. How he lived he did not say; but it was evident that his income was both infinitesimal and uncertain. ...
— The Girl from Sunset Ranch - Alone in a Great City • Amy Bell Marlowe

... reducing this element of free will to the infinitesimal, that is, by regarding it as an infinitely small quantity, can we convince ourselves of the absolute inaccessibility of the causes, and then instead of seeking causes, history will take the discovery of laws as ...
— War and Peace • Leo Tolstoy

... Unfortunately, however, this is an optical impossibility and the field is always spherical in shape. Some makers succeed in giving a larger central area that is in focus at one time than others, and although this may theoretically cause an infinitesimal sacrifice of other qualities, it should always be sought for. Successive zones and the entire peripheral ring should come into focus with the alteration of the fine adjustment. This simultaneous sharpness of the entire circle is an indication of the ...
— The Elements of Bacteriological Technique • John William Henry Eyre

... an existence from the debris of this city. Others have waded ankle-deep in the crowd; but he, a grimy, infinitesimal molecule, had been at the bottom wholly submerged, where the light of idealism is not supposed to penetrate. Grit had been a junkman; his business address—a vacant lot; his only asset—a junk-cart across the ...
— O. Henry Memorial Award Prize Stories of 1921 • Various

... are agreed in believing space to be completely full of fluid, which fluid is certainly capable of vortex motion, and perhaps everywhere does possess that motion. True, the now imagined vortices are not the large whirls of planetary size, they are rather infinitesimal whirls of less than atomic dimensions; still a whirling fluid is believed in to this day, and many are seeking to deduce all the properties of matter (rigidity, elasticity, cohesion gravitation, ...
— Pioneers of Science • Oliver Lodge

... cured Mr. Currie's liver have destroyed Captain Higginbotham's. An English homoeopathic physician, then staying at the Spa, has attended the captain hither, and declares that he will restore him by infinitesimal doses of the same chemical properties that were found in the waters which diseased him. Can there be anything in such ...
— My Novel, Complete • Edward Bulwer-Lytton

... the mate, courteously, "but it frequently happens. There has been some peculiar combination of the movement of the steamer on the swell of the sea, with the position of the screw at that moment—a convergence of a hundred conditions—some almost infinitesimal, but necessary, and which convergence is not likely to take place in a million revolutions of the screw—that has brought an irresistible strain upon the shaft—one that would have wrenched it off, had the diameter been ...
— Adrift on the Pacific • Edward S. Ellis

... dark, chill, central realm where, transformed as a gnome, she clutches her votaries, plunges into the primeval abyss-the matrix of time—and sets them the Egyptian task of weighing, analyzing the Titanic "potential" energy, the infinitesimal atomic engines, the "kinetic" force, the chemical motors, the subtle intangible magnetic currents, whereby in the thundering, hissing, whirling laboratory of Nature, nebulae grow into astral and solar systems; ...
— At the Mercy of Tiberius • August Evans Wilson

... plausible by adding the hypothesis that the accumulating mud of centuries has filled up the lakes, so that they now are only shallow ponds. But this by no means removes the difficulty, for then, as now, the waters of the southern laguna flowed into Tezcuco, conveying with them the infinitesimal infusion of tequisquite that had instilled itself into the Chalco. Had the volume of Chalco and Xochimulco been increased several feet, then the slight Indian barriers and the long grass would no longer have been able to retard the progress of the water till evaporation ...
— Mexico and its Religion • Robert A. Wilson

... understand me. I mean that when you see a Woman, you ought—besides inferring her breadth—to see her length, and to SEE what we call her HEIGHT; although the last Dimension is infinitesimal in your country. If a Line were mere length without "height," it would cease to occupy Space and would become invisible. Surely ...
— Flatland • Edwin A. Abbott

... inevitable winds rent the castles asunder, turned pessimists—to those ineffectual Endymions, Alastors and Werthers, this Scots peasant, man of dreams in the hard, practical world, cried aloud his creed of labor. "Be no longer a Chaos, but a World. Produce! produce! Were it but the pitifullest infinitesimal fraction of a product, produce it, in God's name! 'Tis the utmost thou hast in thee; out with it, then. Up, up! whatsoever thy hand findeth to do, do it with thy whole might. Work while it is called To-day; for the Night cometh wherein no ...
— Optimism - An Essay • Helen Keller

... which our intellect recognizes itself, seems to us marvelous. Not only do the same general causes always produce the same general effects, but beneath the visible causes and effects our science discovers an infinity of infinitesimal changes which work more and more exactly into one another, the further we push the analysis: so much so that, at the end of this analysis, matter becomes, it seems to us, geometry itself. Certainly, the intellect is right in admiring here the growing order ...
— Creative Evolution • Henri Bergson

... characteristic indolence. Modern authors would fill as many pages as Johnson has filled lines, with the biographies of some of his heroes. By industriously sweeping together all the rubbish which is in any way connected with the great man, by elaborately discussing the possible significance of infinitesimal bits of evidence, and by disquisition upon general principles or the whole mass of contemporary literature, it is easy to swell volumes to any desired extent. The result is sometimes highly interesting and valuable, as it is sometimes a ...
— Samuel Johnson • Leslie Stephen

... may be used, or are so unimaginative and ill-disciplined as to prefer such immediate and tangible rewards as a half-crown for their vote, a donation to their football club or local charity, or a gracious word from an interested lady, to their distant and infinitesimal share in the direction of national government. This participation is, in fact, so minute to the individual voter and so intangible in its operation, that a high degree of education is required to appreciate its value; ...
— The History of England - A Study in Political Evolution • A. F. Pollard

... our trouble will be that we shall be without any machinery at all to receive it, to take care of it, to direct the good into proper channels and to withstand the evil. We are occasionally annoyed and disconcerted now by the infinitesimal amount of it that we see; we wish people would mind their own business; we detest meddlers; we should be able to do more work if it were not for the bores—and so on. But what—what in heaven's name shall we do with the deluge when it comes? ...
— A Librarian's Open Shelf • Arthur E. Bostwick

... me with a rush back to my own naked land and the figures scattered upon it. While I was in the very act of yearning toward the new forms that Cleric brought up before me, my mind plunged away from me, and I suddenly found myself thinking of the places and people of my own infinitesimal past. They stood out strengthened and simplified now, like the image of the plough against the sun. They were all I had for an answer to the new appeal. I begrudged the room that Jake and Otto and Russian Peter took up in my memory, which I wanted to crowd with other ...
— My Antonia • Willa Cather

... and future sitter so completely unlike everything I had anticipated. Or no—now I come to think of it, I scarcely felt surprised at all; or if I did, that shock of surprise could have lasted but an infinitesimal part of a minute. The fact is, that, having once seen Alice Oke in the reality, it was quite impossible to remember that one could have fancied her at all different: there was something so complete, so completely unlike every one else, in her personality, ...
— Hauntings • Vernon Lee

... and sun, a few bright grains, went spinning round for terror, and holding each other in embrace, there in a darkness that outpassed them all, and left them tiny and daunted. So much, and himself, infinitesimal, at the core a ...
— Sons and Lovers • David Herbert Lawrence

... other facts, not in the least questionable, and all pointing in one direction. In the second place, he does not tell us what change went on in the man's brain. May it not have been, at least with respect to the cerebrum, quite infinitesimal? In the third place, Sir G. G. Stokes should be aware that all brain changes do not affect consciousness, even in the normal state. Lastly, consciousness depends upon perception; and if all the avenues of sensation ...
— Flowers of Freethought - (Second Series) • George W. Foote

... closely in the broad daylight, on the deck of the steamer, however, I began to see that her face was marked by innumerable small lines, which followed the shape of her features like the carefully traced shadows of an engraving; they crossed her forehead, they made labyrinths of infinitesimal wrinkles about her eyes, they curved along the high cheek-bones and the somewhat sunken cheeks, and they surrounded the mouth and made shadings on her chin. They were not like ordinary wrinkles. They looked as though they had been drawn with ...
— Paul Patoff • F. Marion Crawford

... frightened away the end of his sentence. Turning upon me with some severity, he declared: "There are nine hundred and ninety-nine chances in a thousand that my next word to you will be to prepare yourself for Mr. Durand's arraignment and trial. But an infinitesimal chance remains to the contrary. If you choose to trust to it, I can only admire your pluck and the great confidence you ...
— The Woman in the Alcove • Anna Katharine Green

... going to submit to these disastrous results of your monopoly? Quousque tandem! How long are we going to stand this scandal of international illiteracy and ignorance, fraught with such ominous peril for the future? How long is this nation going to be hoodwinked by an infinitesimal minority of reactionary dons and obscurantist parsons, determined to force a smattering of Greek down the throats of a reluctant youth? How long is modern culture to be kept back under the vain pretence of maintaining the culture of antiquity, but in reality in response to an ignoble ...
— German Problems and Personalities • Charles Sarolea

... is to help the senses of man, by carrying them into regions which could never be attained without that help. Thus we arm the eye with the telescope when we want to sound the depths of space, and with the microscope when we want to explore motion and structure in their infinitesimal dimensions. Now, this law of angular reflection, coupled with the fact that a beam of light possesses no weight, gives us the means of magnifying small motions to an extraordinary degree. Thus, by attaching mirrors to his suspended magnets, and by watching the images of divided ...
— Six Lectures on Light - Delivered In The United States In 1872-1873 • John Tyndall

... penetrating the impregnable fortress; each foe has his special tactics, contrived with appalling skill. See, an egg is inserted by means of a probe beside the torpid larva; or else, in the absence of such an implement, an infinitesimal grub, an atom, comes creeping and crawling, slips in and reaches the sleeper, who will never wake again, already a succulent morsel for her ferocious visitor. The interloper makes the victim's cell and cocoon his own cell and his own cocoon; and next ...
— The Mason-bees • J. Henri Fabre

... two things that the red man specially appreciates,—something free and something medicinal. Sad-faced, the Doctor brings to me a glass case holding a dozen lozenge-shaped disks on each of which an infinitesimal piece of wood rests. "Here are some authenticated relics, but unfortunately the water has made them run and I don't know them apart. You see they have the seal of the Carthusian Monastery on the back. One of ...
— The New North • Agnes Deans Cameron

... of our life is a matter of indifference. A portion might be termed satisfaction, and a minute balance, an infinitesimal part, termed—if there is ...
— Tyranny of God • Joseph Lewis

... make any difference who is chosen president? Has the president any great authority in matters of vital policy? It seems a thing of despair to get any assurance that any vote he may cast will even in an infinitesimal degree affect the essential courses of administration. There are so many cooks mixing their ingredients in the national broth that it seems hopeless, this thing of changing one cook ...
— Lord Elgin • John George Bourinot

... to ask for the same information,' said Mr. Neigh, determining the very longest hair in his beard to an infinitesimal nicety by drawing its lower portion through his fingers. 'I have quite forgotten—cannot keep people's names in my head at all; nor could my father either—nor any of my family—a very odd thing. But my old friend Mrs. Napper knows for certain.' And he turned to one of a small group of middle-aged ...
— The Hand of Ethelberta • Thomas Hardy

... the speed of light. The young man's mental revolution was over and done with in a second's time; the pause was infinitesimal. Almost as she finished her last remark, Mr. Carstairs's daughter turned from the rail and took a step forward upon the deck, as though to jog her host toward that promised tour of the yacht which had ...
— Captivating Mary Carstairs • Henry Sydnor Harrison

... telescope be able to see us? I doubted it. The pinpoint of the Planetara's infinitesimal ...
— Astounding Stories of Super-Science April 1930 • Various

... direction of the homely, familiar note, we beheld a garden. In this garden walked the cock—a two-legged gentleman of gorgeous plumage. If abroad for purely constitutional purposes, the crowing chanticleer must be forced to pass the same objects many times in review. Of all infinitesimal, microscopic gardens, this one, surely, was a model in minuteness. Yet it was an entirely self-respecting little garden. It was not much larger than a generous-sized pocket handkerchief; yet how much talent—for growing—may ...
— In and Out of Three Normady Inns • Anna Bowman Dodd

... singular? I think not. There are others whose mannerisms plague me too. For instance, TRUBERRY, whom I meet occasionally, has a wild and venomous habit of relating to me his infinitesimal jokelets. That I could pardon. But when, having related one, he bursts, as he always does, into a helpless suffocation of purple laughter, the savage within me awakes and I murder TRUBERRY in fancy to an accompaniment of refined and protracted ...
— Punch, Or The London Charivari, Vol. 103, September 10, 1892 • Various

... whole tone "scale" which can have no other rationale than a violent extension of the enharmonic principle.[A] With a certain quality of kaleidoscope, there is besides (in the harmonic manner of Cesar Franck) an infinitesimal kind of progress in smallest steps. It is a dangerous form of ingenuity, to which the French are perhaps most ...
— Symphonies and Their Meaning; Third Series, Modern Symphonies • Philip H. Goepp

... the infinitesimal particles of sachet powder settled in the lining of his nose. He became serious, and was conscious of a growing feeling of dislike; he began to be upset over the whole matter. But his conscience compelled him to persist in his attempt to solve the mystery; and also he remembered that one ...
— Seventeen - A Tale Of Youth And Summer Time And The Baxter Family Especially William • Booth Tarkington

... Very difficult the question was, and I did not feel confident of solving it; but it was some consolation to reflect that the doubt as to the possibility of demonstrating a full application of the law in the domain in which chance has sway, and Ethics its sphere, was comparatively infinitesimal in the case of those domains in which men make themselves felt by virtue of genius or talent as producers of literary and artistic works. Here, where natural gifts and their necessary deployment were of such extraordinary weight, the probability of a demonstration ...
— Recollections Of My Childhood And Youth • George Brandes

... steel hull and the small spaceship were 20 miles apart. An infinitesimal radar-bowl moved on the little ship. Tight-beam waves flickered invisibly between the two craft. The ...
— Space Tug • Murray Leinster

... needle. I will take upon the point of it an invisible portion of the substance I speak of." Here he carefully picked out a pill from the basin, and as carefully placed it upon the table, where he detached an infinitesimal atom of it and held it up on the point of the needle. "This particle," he said, "is so small that it cannot be seen except with the aid of a microscope. I will now place needle and all on the machine and touch it off with electric current;" and as his hand hovered over the push-button there were ...
— The Face And The Mask • Robert Barr

... soul is conscious of no desire. Surely this is better than the strife and the sordid cares of the camp; surely one may walk apart and enjoy the fruits of tranquillity? Our consciousness can admit but an infinitesimal part of that which is: let us then fill it to the brim with the joy of beauty, with the harmony of being at rest. Then I remembered the things which lay beyond my peaks and my moonlight: a vision of prisons and shambles, ...
— Mountain Meditations - and some subjects of the day and the war • L. Lind-af-Hageby

... naught, Focus of light infinitesimal, Sum of all things by sleepless Nature wrought, Of which the normal man ...
— The Book of Humorous Verse • Various

... and of what—all animal creation—the mechanism of the universe, its motions—the exact perfection of every creation for the design of that creation; see and know God's will, and God's wisdom, and God's power in all of them; descend to the minor and most infinitesimal creation; learn its organization, and see God here with a design, and a perfect organization, to work it out—learn truth, where only truth exists, from God in all created nature, and teach this, that all may learn and conserve to ...
— The Memories of Fifty Years • William H. Sparks

... mist murmuration. We passed a tree with a proud pigeon sitting on its top spire, quite too heavy for the twig delicacy below; undisturbed by the mare's hoofs or the creaking of saddle leather, he let us pass, absorbed in his world of tranquil turtledoves. The mist had thickened to a white, infinitesimal rain-dust, and in it the trees began to look strange, as though they had lost one another. The world seemed inhabited only by quick, soundless wraiths as ...
— Forsyte Saga • John Galsworthy

... the sole is the exposure of all canker, and as this can be done with equal certainty with the aid of the hot iron, there can be no necessity for performing it. The pain of cauterizing cankered tissue, which is a necessary operation, is infinitesimal (canker largely destroying sensation), compared with the pain produced in the totally unnecessary process of tearing healthy horn ...
— Diseases of the Horse's Foot • Harry Caulton Reeks

... of mathematical astronomy—from a mundane standpoint, at any rate—are those that refer to the earth's own satellite. That seemingly staid body was long ago discovered to have a propensity to gain a little on the earth, appearing at eclipses an infinitesimal moment ahead of time. Astronomers were sorely puzzled by this act of insubordination; but at last Laplace and Lagrange explained it as due to an oscillatory change in the earth's orbit, thus fully exonerating the moon, and ...
— A History of Science, Volume 3(of 5) • Henry Smith Williams

... the letter in two, the halves into quarters, the quarters into infinitesimal squares. He took a pinch of them and extended his arm, dropping the particles of paper upon the current of the wind. They rose, fell, eddied, swam, and rose again, finally to fall on the roofs ...
— The Grey Cloak • Harold MacGrath

... the custom of well-to-do Leipzigers, Schiller sought refuge from the incipient summer heat of the city by taking rooms in the suburban village (such it was then) of Gohlis. Here, in a little second-story chamber, which was provided with an infinitesimal bed-room, he lived some four months,—happy months, in the main, even If the famous 'Song to Joy', which local tradition ascribes to this time and place, was in fact written a little later in Dresden. Various friends were at hand. Besides Huber there ...
— The Life and Works of Friedrich Schiller • Calvin Thomas

... deliberately, an elderly man started to cross the road, and on the sound of the horn stood stock still, with resentful defiance on his weather-beaten face. McKeogh jammed on the brakes. The car halted. But the infinitesimal fraction of a second before it came to a dead stop the wing over the near front wheel touched the elderly person and down he went on the ground. I leaped from the car, to be instantly surrounded by an infuriated ...
— The Joyous Adventures of Aristide Pujol • William J. Locke

... the bed of boughs would be dry, but the night would be his, and the good, cool ground, and the soughing of the pines, and the sweet, infinitesimal and innumerable sounds of the breathing, sleeping earth. He found the place and threw himself down. Why, here were green boughs under him, not the dried remains of what he had placed there! Kitty—it ...
— The Judgment House • Gilbert Parker

... Corthell beyond doubting or denial. Not a single inflection of his low-pitched, gently modulated voice was wanting; not a single infinitesimal mannerism was changed, even to the little tilting of the chin when he spoke, or the quick winking of the eyelids, or the smile that narrowed the corners of the eyes themselves, or the trick of perfect repose of his whole body. Even his handkerchief, as always, since first she had known him, was ...
— The Pit • Frank Norris

... ye materialists! ye worshippers of Chance! Is it indeed the infinitesimal doings of pigmies that bring about the great upheavals of the earth? Do ye not rather see God's will in that fall of rain? God's breath in those dying heroes who fell on Mont Saint Jean? do ye not recognise that it was God's ...
— The Bronze Eagle - A Story of the Hundred Days • Emmuska Orczy, Baroness Orczy

... direction; nowhere can they obtain security for rest and food, even if they are fortunate enough in procuring any. If, in spite of all this, they do happen to succeed in blowing up a railway or cutting a telegraph, the effect is infinitesimal. ...
— Cavalry in Future Wars • Frederick von Bernhardi

... makes no attempt to explain the presence of the sexual impulse in the congenital absence of the sexual glands; here, however, Munde intervenes with the suggestion that it is possible that in most cases "an infinitesimal trace of ovary" may exist, and preserve femininity, though insufficient to ...
— Studies in the Psychology of Sex, Volume 3 (of 6) • Havelock Ellis

... was the black spot, a trifle larger now, and, forcing his nerves to be calm, he stared at it a long time, how long he never knew, but long enough for him to see it grow and take form and shape, for the infinitesimal but definite outline of mast, sails and hull to emerge, and then for a complete ship ...
— The Sun Of Quebec - A Story of a Great Crisis • Joseph A. Altsheler

... of all action from the world, was infinitesimal. But it seemed long to Cally. And she thought she could never forgive her father if he turned away, leaving this slight ...
— V. V.'s Eyes • Henry Sydnor Harrison

... have fired. But a shot from the foliage beat him out by the fraction of a second. In that precious time lost, his enemy's bullet entered the edge of his kit—and came through. He felt the shock of it, and in the infinitesimal space between the physical impact and the mental effect of shock his brain told him the horrible thing had happened. It was his head—his face. It was as if he had plunged them suddenly into hot water, and what ...
— The Flaming Forest • James Oliver Curwood

... an almost imperceptible cloud shadowing their gayety. Little did Archie think, when he declared so confidently that "they wouldn't get any of it," that before the summer was over, they would experience to some infinitesimal extent the cruel, relentless, crushing power of that ...
— Lucile Triumphant • Elizabeth M. Duffield

... spirits. A number of infinitesimal annoyances, winding up with the resolute persistency of the clerk at the stage office to enter my name misspelt on the waybill, had not predisposed me to cheerfulness. The inmates of the Eureka House, from a social viewpoint, were not attractive. There was the prevailing opinion—so ...
— Selected Stories • Bret Harte

... ever return to him now he did not for an instant believe, but there remained the chance—the slender, infinitesimal chance—that she might ask him to go to her. More than a flying visit she would know he could not manage. His work was his living, and hers. But so much Nick's powers of persuasion might one day accomplish though he would not allow himself to ...
— The Way of an Eagle • Ethel M. Dell

... with them. And behind the great structure of human speech and the lesser varieties of language which arise out of the many degrees and kinds of human intercourse, there is also the unknown or over-ruling law of God or nature which gives order to it in its infinite greatness, and variety in its infinitesimal minuteness—both equally inscrutable to us. We need no longer discuss whether philology is to be classed with the Natural or the Mental sciences, if we frankly recognize that, like all the sciences which are concerned with man, it has a double aspect,—inward ...
— Cratylus • Plato

... part, but two kinds of men living in it, living on opposite sides of the same truths glaring at each other. On the one hand the anaemically spiritual, broad, big, pallid men, and on the other the funny, infinitesimal, ...
— The Lost Art of Reading • Gerald Stanley Lee

... The puzzles about the infinitely great and infinitely small, which used to throw a cloud of mystery over the 'higher' branches of Mathematics, have been finally dissipated by the discovery that the 'infinite' is readily definable in purely ordinal terms and that the 'infinitesimal' does not really enter into the misnamed 'Infinitesimal Calculus' at all. Arithmetic and the theory of serial order have been shown to be the sufficient basis of the whole science which, as Plato ...
— Recent Developments in European Thought • Various

... question anybody had asked. It added its infinitesimal weight to the wave of normality which was settling over them all. Everybody visibly concentrated, listening ...
— Angel Island • Inez Haynes Gillmore

... all Nature. The two human atoms, lost in this immensity, felt themselves invaded by the universal tremor, oblivious to all that but a short time before had constituted their lives. They forgot the presence of the city on the other side of the mountain; the existence of humanity, of which they were infinitesimal parts.... Completely alone, penetrating each other through their pupils! Thus, thus forever! There was a crackling sound in the dark, like dry branches creaking before ...
— Luna Benamor • Vicente Blasco Ibanez

... bit of vivid blue, shot from a tall pine, jeering shrilly at Butch; out on the lake, a trout leaped above the water for an infinitesimal second, its shining scales gleaming in the sunshine. From the cook-tent, where old Hinky-Dink grumbled at the frying pan, the appetizing odor of frying fish assailed the ...
— T. Haviland Hicks Senior • J. Raymond Elderdice

... that Carrie Samstag, even in her lovely pink night-dress, a crone with pain, and the cables out dreadfully in her neck, began by infinitesimal processes to swing herself gently to the side of the bed, unrelaxed inch by unrelaxed inch, softly and with the cunning ...
— The Best Short Stories of 1921 and the Yearbook of the American Short Story • Various

... experience in handling copy I have only known one regular writer for the press who wrote as many words to a sheet as Field. That was David H. Mason, the tariff expert, whose handwriting was habitually so infinitesimal that he put more than a column of brevier type matter on a single ...
— Eugene Field, A Study In Heredity And Contradictions - Vol. I • Slason Thompson

... to hear it, Sir Henry," replied the hotel proprietor. But his face expressed no visible gratification. To a man who had had his hotel emptied by a Zeppelin raid the difference between a single guest fainting instead of dying was merely infinitesimal. ...
— The Shrieking Pit • Arthur J. Rees

... a bunch of grapes," said he, "which are covered by some infinitesimal but noxious bacillus. The gardener passes it through a disinfecting medium. It may be that he desires his grapes to be cleaner. It may be that he needs space to breed some fresh bacillus less noxious than the last. He dips it into the poison and they are gone. Our Gardener is, in my opinion, about ...
— The Poison Belt • Arthur Conan Doyle

... moment they listened to the infinitesimal noises of the night, straining their ears in the stillness. The river wound past them with a faint, sibilant sound like a child chuckling in its sleep; an owl hooted somewhere in the far-off sanctuary of the trees. Betty drew her breath with ...
— The Long Trick • Lewis Anselm da Costa Ritchie

... light as a whole..... From that point, from that position, there is a work to be done, which can be done from no other. The Lonely Eternal looks out through these eyes, because it must see all things; and there are things no eyes can see but these, no other hands do. This point is an infinitesimal part of the whole; but without its full and proper functioning, the Whole falls short in that much:—because of your or my petty omissions, the Universe limps and goes lame.—Into this position, as into all others impartially, the ...
— The Crest-Wave of Evolution • Kenneth Morris

... A really handsome affair, and so placed at one end of the room that it looked a part of it. "Come here." They came. The reverse side of the screen was dotted with hooks, and on each hook hung a pot, a pan, a ladle, a spoon. And there was the tiny gas range, the infinitesimal ice chest, the miniature sink. The whole would have been lost in one corner of the Brewster's ...
— Half Portions • Edna Ferber

... confidence that if the Pope got the money it would not be expended for the benefit of Christendom; moreover, he did actually hand over four thousand pounds. In fact, he took the Church as he found it. There was but one almost infinitesimal curtailment of ecclesiastical privileges in his reign, necessitated by political considerations and accepted by the Pope, whereby the right of Sanctuary was ...
— England Under the Tudors • Arthur D. Innes

... road for wheel traffic, and it was found necessary to cause a tiny little spring that rose in the bank by the roadside to change its course in some small degree. The affair seemed to us a matter of infinitesimal importance, but Sir George was dismayed. We had moved, he said, a holy well, and the consequence would surely be that we should never succeed in ...
— What I Remember, Volume 2 • Thomas Adolphus Trollope

... its metallic brightness shining out everywhere, and so rich was the ore, that it yielded seventy-five per cent. of lead, even under the most summary of processes. Added to this fact, the expense of transport being infinitesimal, as the huge artery of the Mississippi River ran a few paces from the beds, the working of them was so profitable that nobody took the trouble to extract the silver from it. But the result of this mineral wealth ...
— Memoirs • Prince De Joinville

... principal organ of the Spanish-Filipino population, El Comercio, which, with varying vicissitudes, has continued down to the present. While rigorously censored, both politically and religiously, and accessible to only an infinitesimal portion of the people, they still performed the service of letting a few rays of light into the Cimmerian intellectual gloom ...
— The Social Cancer - A Complete English Version of Noli Me Tangere • Jose Rizal

... know this part of the country well," she said. I think she was considering me as a possible canvasser—an infinitesimal thing, but of a kind possibly worth remembrance ...
— The Inheritors • Joseph Conrad

... now sprung out of the earth? And how could he see? Is it possible? Hm..." continued Raskolnikov, turning cold and shivering, "and the jewel case Nikolay found behind the door—was that possible? A clue? You miss an infinitesimal line and you can build it into a pyramid of evidence! A fly flew by and saw it! Is it possible?" He felt with sudden loathing how weak, how physically weak he had become. "I ought to have known it," he thought with a bitter smile. "And how dared I, knowing myself, knowing ...
— Crime and Punishment • Fyodor Dostoyevsky

... litigation had been further discounted, for everybody except Mr. Dillon, by the fact that in the classic case—Adams v. Dunseath—tried out in accordance with Mr. Gladstone's panacea, Adams, after repeated lawsuits, improved his financial position by an infinitesimal sum per annum without becoming an owner of his farm. It was also agreed that the Estates Commissioners appointed to administer the Act, should be administrative officials under the Government, and not amateur judges. ...
— Against Home Rule (1912) - The Case for the Union • Various

... intellects and plunged into the problem of creating an encephalograph that would record the infinitesimal irregularities that were superimposed upon the great waves. Their operation became large; they bought the old structure on top of the hill and moved in, bag and baggage. They cohabited but did not live together for almost a year; ...
— The Fourth R • George Oliver Smith

... imperial interests; and he preferred a Pope who would be undividedly imperialist at heart. Pace was sent to join Clerk at Rome in urging Wolsey's suit, and they did their best; but English influence at the Court of Rome was infinitesimal. In spite of Campeggio's flattering assurance that Wolsey's name appeared in every scrutiny, and that sometimes he had eight or nine votes, and Clerk's statement that he had nine at one time, twelve at another, and nineteen at a third,[437] Wolsey's ...
— Henry VIII. • A. F. Pollard

... was not so simple in its consequences, or Providence so paternal. He was contented to take the truth from life; and the effect upon the mind of the most correct theory of what life ought to be, compared to the effect of the life itself, is infinitesimal in comparison. ...
— Short Studies on Great Subjects • James Anthony Froude

... at least with a very dull one. Reduced even to the lowest terms, a certain interest can be communicated by the art of narrative; a sense of human kinship stirred; and a kind of monotonous fitness, comparable to the words and air of "Sandy's Mull," preserved among the infinitesimal occurrences recorded. Some people work, in this manner, with even a strong touch. Mr. Trollope's inimitable clergymen naturally arise to the mind in this connection. But even Mr. Trollope does not confine himself to chronicling small beer. Mr. Crawley's collision with the Bishop's wife, ...
— The Works of Robert Louis Stevenson, Volume 9 • Robert Louis Stevenson

... things. Fellows like Riasantzeff and Novikoff and Sanine would never dream of doing so. They have not the remotest intention of criticising themselves, being perfectly happy and self-satisfied, like Zarathustra's triumphant pigs. The whole of life is summed up in their own infinitesimal ego; and by their spirit of shallowness it is that I am infected. Ah, well! when you are with wolves you've got to howl. That ...
— Sanine • Michael Artzibashef

... of encountering Edwin Clayhanger on that day of multitudes was surely infinitesimal. Nevertheless, in six minutes the improbable had occurred. At the corner of Trafalgar Road and Duck Square Janet, attracted by the sight of banners in the distance, turned to the left along Wedgwood Street and past the front of Clayhanger's shop. Theoretically ...
— Hilda Lessways • Arnold Bennett

... 'Sir, you are too happy that men should have been found in your reign able to know all the arts and to transmit them to posterity. Everything is here, from the way of making a pin to that of casting and of aiming your cannon; from the infinitesimal to the infinite. Thank God for having given birth in your kingdom to men who have thus served the whole world. Other nations are obliged to buy the "Encyclopaedia," or to imitate it. Take all I have, if you like, but ...
— The Eve of the French Revolution • Edward J. Lowell

... over and examined the picture. It was almost finished, in that last stage where the artist can play with his creation, fondly touching and perfecting infinitesimal details, knowing that the thing has really been "pulled off." And it was triumphantly done! Even to Milly's untutored eyes, the triumph of it was indubitable. There the Russian stood on her thin, lithe haunches, her head tipped a little back disdainfully ...
— One Woman's Life • Robert Herrick

... not recognise these private cases. The public gain is so infinitesimal. We had one probationer who constructed a very ingenious water-butt for boys. Another had a scheme for clearing the streets of the people who get in the way. He got into trouble about some perambulators. Let me ...
— Better Dead • J. M. Barrie

... a custodian of the Dresden Grune Gewolbe might have admired, he took out an infinitesimal key and opened a square cedar-wood box. The Englishwoman was much impressed with its shape and plainness. From that box, lined with black satin, he drew a shawl worth about fifteen hundred francs, a black pattern on a golden-yellow ground, of which the ...
— Gaudissart II • Honore de Balzac

... pious as it is to think of Him, while the pageant of experiment or abstract reasoning passes by, still, such piety is nothing more than a poetry of thought or an ornament of language, and has not even an infinitesimal influence upon philosophy or science, of which it is rather the ...
— The Idea of a University Defined and Illustrated: In Nine - Discourses Delivered to the Catholics of Dublin • John Henry Newman

... God. If that faith be false, the temple of human thought falls to wreck, and behold! we know not anything and have no way of learning. But the fact that the universe is intelligible, that we can follow its forces, trace its laws, and make a map of it, finding the infinite even in the infinitesimal, shows that the mind of man is akin to the Mind that made it. Also, there are two aspects of the nature of man which lift him above the brute and bespeak his divine heredity. They are reason and conscience, both of which are of more than sense and time, having ...
— The Builders - A Story and Study of Masonry • Joseph Fort Newton

... in the conception of time or motion, like the infinitesimal in space, were a source of perplexity to the mind of the Greek, who was driven to find a point of view above or beyond them. They had sprung up in the decline of the Eleatic philosophy and were very familiar to Plato, as we gather from the Parmenides. The consciousness ...
— Timaeus • Plato

... between husband and wife were absolutely unequal; fathers were sole guardians of their children and at death could appoint one even of a child unborn; the age of consent was 12 years and it was legal for a girl to marry at 12. An infinitesimal number of women had a bit of School suffrage. In the rest of that century, under the leadership of Miss Laura Clay, with the able assistance of such women as Mrs. Josephine K. Henry, Mrs. Eliza Calvert Obenchain and many others, ...
— The History of Woman Suffrage, Volume VI • Various

... three compartments each, and a male snail in each compartment. If flour is down, offering a chance for profit in New York upon 'time' sales, I approach the box marked minus, the three snails of which are called x, y, and z. I take up a little tube,—such a one as is used by chemists to drop infinitesimal portions of any liquid; I dip this into a vial marked No. 1, containing a solution of salt in water,—there is a row of these vials, the solution in each being of a different strength,—and then, with the moistened tube, I touch snail x, or snail y, or snail z, or any two of them, ...
— Atlantic Monthly Volume 7, No. 40, February, 1861 • Various

... through the loaf would make the portion to be parted with less by one third than the portion to be retained. Half a pound of salt butter would reduce itself to a quarter of a pound. Portions of meat would become infinitesimal. When standing with viands before her, she had not free will over her hands. She could not bring herself to part with victuals, though she might ruin herself by retaining them. Therefore, by the order of the master, were the servants placed on ...
— Orley Farm • Anthony Trollope

... should have had to think of something else; but remember that in life there is always one supreme moment when Chance—who is credited to have but one hair on her head—stands by you for a brief space of time; sometimes that space is infinitesimal—one minute, a few seconds—just the time to seize Chance by that one hair. So I pray you all give me no credit in this or any other matter in which we all work together, but the quickness of seizing Chance by the hair during the brief moment when she stands by my side. If Madame Simon had ...
— El Dorado • Baroness Orczy

... experiments conducted in a large perfumatory, we have come to the conclusion that it cannot be so applied, simply because when the essence of pine-apple is smelled at, the vapor produces an involuntary action of the larynx, producing cough, when exceedingly dilute. Even in the infinitesimal portions it still produces disagreeable irritation of the air-pipes, which, if prolonged, such as is expected if used upon a handkerchief, is followed by intense headache. It is obvious, therefore, that the legitimate use ...
— The Art of Perfumery - And Methods of Obtaining the Odors of Plants • G. W. Septimus Piesse

... transition out of Hyper into system space, and the jump out of warp was something not even a veteran took lightly. Rip's round face thinned while they watched. Jellico was still functioning. But if the Captain collapsed the whole responsibility for the snap-out would fall directly on Shannon. An infinitesimal error would condemn them to almost hopeless ...
— Plague Ship • Andre Norton

... as a redeemed one, ready to throw not merely his mortal life, but his immortality even, into the forlorn hope, to bridge with a never-dying soul the chasm over which white-robed victors should pass to a commonwealth of glory and splendor whose vastness dwarf the misery of all the lost infinitesimal. ...
— The Atlantic Monthly , Volume 2, No. 14, December 1858 • Various

... infinitesimal influence of sympathy between mind and matter, which permeates all beings, and pervades all the delicate niches and interstices of human intelligence. This sympathetic influence working upon the affined intelligence of an affinity, coagulates ...
— The Humbugs of the World • P. T. Barnum



Words linked to "Infinitesimal" :   small, little, maths, infinitesimal calculus



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