"Geometrical" Quotes from Famous Books
 ... fields—the inundation obliterating old landmarks and divisions. The science thus forced upon their attention was cultivated with zeal and success. A single papyrus has been discovered that holds twelve geometrical theorems. ...
— A General History for Colleges and High Schools • P. V. N. Myers
... rank has the inherent lack of cohesion of open order. However, open order is necessary to economize losses and permit the use of weapons. Thus to-day there is greater necessity than ever for the rank, that is for discipline, not for the geometrical rank. It is at the same time more necessary ...
— Battle Studies • Colonel Charles-Jean-Jacques-Joseph Ardant du Picq
... most vast, of our own world, are still to be further multiplied by the inconceivably momentous relations subsisting between our own and other planets and their common centre; amidst whose sublime and solemn phenomena science has most clearly discovered that everything is accurately adjusted by geometrical precision of force and movement; where the chances of error are infinite, and the proofs of intelligence, therefore, equal. These proofs of design in each fragment of the universe, and in all combined, ...
— Reason and Faith; Their Claims and Conflicts • Henry Rogers
... This is only the D of the alphabet of power. And glancing up to the other suns, one hundred, five hundred, twelve hundred times as large, double, triple, septuple, multiple suns, we shall find power enough to go through the whole alphabet in geometrical ratio; and then in the clustered suns, galaxies, and nebulae, power enough still unrepresented by single letters to require all combinations of the alphabet of power. What is the significance of this single element of power? The answer of science to-day is "correlation," ...
— Recreations in Astronomy - With Directions for Practical Experiments and Telescopic Work • Henry Warren
... human family should remember, that the human race is, as to time and nature, but as one totality; for, since every man and woman had two parents, each parent two parents, and so on in geometrical progression, hence every individual, high or low, must necessarily be descended from every individual of the whole population as it existed but a few hundred years before, whether they were high or low, virtuous or abandoned; while every procreative individual ...
— The Mirror of Literature, Amusement, and Instruction - Volume 12, No. 341, Saturday, November 15, 1828. • Various
... suddenly and temporarily increased in any sensible degree. The obvious explanation is, that the conditions of life have been very favorable, and that there has consequently been less destruction of the old and young, and that nearly all the young have been enabled to breed. In such cases the geometrical ratio of increase, the result of which never fails to be surprising, simply explains the extraordinarily rapid increase and wide diffusion of naturalized productions in ...
— Darwiniana - Essays and Reviews Pertaining to Darwinism • Asa Gray
... and, sometimes, purely material, in the condensed shape of allegorical symbols, India, nevertheless, has known how to express all these teachings more or less successfully. She has immortalized them in her ugly, four-headed idols, in the geometrical, complicated forms of her temples, and even in the entangled lines and spots on the ...
— From the Caves and Jungles of Hindostan • Helena Pretrovna Blavatsky
... adorning linen was practised from the earliest times. Threads were drawn and fashioned with the needle, or the ends of the cloth unravelled and plaited into geometrical patterns. St. Cuthbert's curious grave-clothes, as described by an eyewitness to his disinterment in the twelfth century, were ornamented with cut-work, which was used principally for ecclesiastical purposes, ...
— The Atlantic Monthly, Volume 18, No. 107, September, 1866 • Various
... scores and scores of scrolls made out of slippery white linen, on which had been drawn all sorts of most amazing geometrical designs ...
— The Dark Star • Robert W. Chambers
... understood from the ground-plan (fig. 129)[508]. This plan shews very clearly the library itself, the two circular staircases at the west end, leading up to the gallery, the wide geometrical staircase leading down to the portico, the corridor into which this staircase opens, and from which a visitor could either ascend by a flight of stairs to the gallery crossing the nave, or, turning to his right, either enter ...
— The Care of Books • John Willis Clark
... in his old home,—in the hipped roof of it, the mullioned casements, the wide window-seats, the high and spacious rooms, the geometrical gardens and broad lawns, in all that was quaint and beautiful at Matocton,—because it would be Patricia's so very soon, the lovely frame of a yet lovelier picture, as the colonel phrased it with a flight ...
— The Rivet in Grandfather's Neck - A Comedy of Limitations • James Branch Cabell
... the pure line swerved, ever more and more influenced by the Orient, for Rome, always successful in war, had established colonies in the East. Soon Byzantine art reached Rome, bringing its arabesques and geometrical designs, its warm, glowing colours, soft cushions, gorgeous hangings, embroideries, and rich carpets. In fact all the glowing luxury that the ...
— The Art of Interior Decoration • Grace Wood
... also be reached by a different path, may be attained by the road of physics as well as by that of transcendental metaphysics. For Newton has given in his Principia a geometrical demonstration of the infinite compressibility of matter. All the worlds, therefore, that cluster in yon swelling vault can be condensed into a single globe of the size of a walnut; and then, on that petty lump of apparent substance, the enfranchised soul might ...
— The Destiny of the Soul - A Critical History of the Doctrine of a Future Life • William Rounseville Alger
... that I could be in either place by a sort of mental shift, something like staring at one of the geometrical optical illusions you can find in any psychology textbook in the chapter on illusions, and seeing it ...
— The Gallery • Roger Phillips Graham
... Geometrical). Pointed arches. Pillars with detached shafts. Moulded or carved capitals. Narrow and high pointed windows. Later period—Geometrical trefoil ...
— Seaward Sussex - The South Downs from End to End • Edric Holmes
... painter is more unaffectedly pathetic, more unconsciously majestic. While under the influence of his genius, we are sincerely glad that the requisite science for clever imitation of landscape and architectural backgrounds was not forthcoming in his age. Art had to go through a toilsome period of geometrical and anatomical pedantry, before it could venture, in the frescoes of Michael Angelo and Raphael, to return with greater wealth of knowledge on a higher level to the divine simplicity of ...
— Renaissance in Italy Vol. 3 - The Fine Arts • John Addington Symonds
... in shame of the inanimate creature she had become, to force herself to think: and had, for a chastising result, a series of geometrical figures shooting across her brain, mystically expressive of the situation, not communicably. The most vivid and persistent was a triangle. Interpret who may. The one beheld the two pass from view ...
— The Shaving of Shagpat • George Meredith
... The objects of geometrical inquiry are so entirely abstracted from those pursuits which stir up and put in motion the unruly passions of the human heart, that mankind, without difficulty, adopt not only the more simple theorems of the science, but even those abstruse paradoxes ...
— The Federalist Papers • Alexander Hamilton, John Jay, and James Madison
... the Sage's staff, which he had dropped for the moment, and with its point she drew geometrical figures in the sand. But the sun made shadows with her eyelashes, and the Sage felt his voice tremble, so ...
— The Damsel and the Sage - A Woman's Whimsies • Elinor Glyn
... with time and labor but after all successfully he conquered the remainder of Syracuse. The Romans when they became masters of these districts killed many persons, among them Archimedes. He was constructing a geometrical figure and hearing that the enemy were at hand he said: [Sidenote: (FRAG. 56^32?)] "Let them come at my head, but keep their distance from my figure!" He was little perturbed when a hostile warrior confronted him, and by his words, "Fellow, stand away from my figure," he irritated ...
— Dio's Rome, Volume 1 (of 6) • Cassius Dio
... he had no skill at all. And not only in that, but in the other mathematical sciences, as geometry, astronomy, music, &c. For in waiting on the concoction and attending the digestion of his food, they made a thousand pretty instruments and geometrical figures, and did in some measure ...
— Gargantua and Pantagruel, Complete. • Francois Rabelais
... for holiday occasions are exceedingly handsome, being decorated with "geometrical" patterns, in which the "Greek fret" takes part, in coarse blue cotton, braided most dexterously with scarlet and white thread. Some of the handsomest take half a year to make. The masculine dress is completed ...
— Unbeaten Tracks in Japan • Isabella L. Bird
... says that these walls were twelve thousand eight hundred and forty-three geometrical feet in extent, and that they were built without expense ...
— History of the Philippine Islands Vols 1 and 2 • Antonio de Morga
... the window, seemed never to have been disturbed since it left the upholsterer's hands. Whatever life and motion there might have been in the basement, were sheltered from observation by conical firs or square-clipped box borders, set out on strictly geometrical principles in each of the four front yards. The doors were ponderous and tight fitting, as if they were never meant to be opened; and the vivid polish of their surfaces showed no trace of human handling. No marks of feet could be detected on the smooth, heavy flagstones which led up from the ...
— Round the Block • John Bell Bouton
... beautiful, and points to a degree of refinement and cultivation which we do not usually associate with a rough life, such as was led by the monks of sea-girt Lindisfarne. There are to be seen wonderful initial letters, geometrical and tesselated designs, like the most delicate and intricate mosaics, and above all, beautifully devout representations of the four evangelists, all evidently drawn by the same loving and reverent hand, and the whole colouring as fresh now as if ...
— Studies from Court and Cloister • J.M. Stone
... used with many extensions of this primary meaning. It denotes the imaginary line about which a body or system of bodies rotates, or a line about which a body or action is symmetrically disposed. In geometry, and in geometrical crystallography, the term denotes a line which serves to aid the orientation of a figure. In anatomy, it is, among other uses, applied to the second cervical vertebra, and in ...
— Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 1 - "Austria, Lower" to "Bacon" • Various
... Now, however, the geometrical and mathematical difficulties of calculation, which before had been tedious and oppressive, threatened to become overwhelming; and it is with a rising sense of despondency that Kepler sees his six years' unremitting labour leading deeper ...
— Pioneers of Science • Oliver Lodge
... M'Lean's, and Burnet's History of his own Times, from Captain M'Lean's; and he had of his own some books of farming, and Gregory's Geometry. Dr Johnson read a good deal of Burnet, and of Gregory, and I observed he made some geometrical notes in the end of his pocket-book. I read a little of Young's Six Weeks Tour through the Southern Counties; and Ovid's Epistles, which I had bought at Inverness, and which helped to solace ...
— The Journal of a Tour to the Hebrides with Samuel Johnson, LL.D. • James Boswell
... to the impassive chief, calm-eyed, keen, alert, surveying the line, dispatching brief commands, receiving reports. It is Franklin. With the air of a marshal on a civic pageant, perplexed only by some geometrical problem denying the possibility of two right lines on the same plane, he glances upward toward the brow of the plateau. The four flags had been increased by half a dozen. Ah, they have received aid! A tremendous crash comes from the left. That must be Sherman. ...
— The Iron Game - A Tale of the War • Henry Francis Keenan
... from the Twelfth Century on, employed in their religious edifices a geometrical plan that was different from that employed by the Byzantine architects, but one very close to that admitted by the architects of Greece during the early years ...
— Russia - As Seen and Described by Famous Writers • Various
... worked out this subject most minutely and truthfully some years ago; he showed quite clearly,—and although he was much abused for his conclusions at the time, they have never yet been disproved and never will be—he showed that in consequence of the increase in the number of organic beings in a geometrical ratio, while the means of existence cannot be made to increase in the same ratio, that there must come a time when the number of organic beings will be in excess of the power of production of nutriment, and ...
— Lectures and Essays • T.H. Huxley
... in the Paleolithic Age was by engraving animal forms. In the Neolithic Age they seem to have cared very little for ornamenting. During the Bronze Age the ornamentation was of a simple but pleasing and uniform style. It consisted of simple geometrical patterns, combination of circles, dots, and straight lines. In this next figure we have given the principal designs found ...
— The Prehistoric World - Vanished Races • E. A. Allen
... personal habits. Now there was suddenly opened a door of hope to the almost despair of the drunkard himself. The lately reformed drunkards of Baltimore set themselves to the reforming of other drunkards, and these took up the work in their turn, and reformation was extended in a geometrical progression till it covered the country. Everywhere meetings were held, to be addressed by reformed drunkards, and new recruits from the gutter were pushed forward to tell their experience to the admiring public, and sent out on speaking tours. The people were stirred up as never ...
— A History of American Christianity • Leonard Woolsey Bacon
... relative prime, prime factor, prime pair; reciprocal; totient[obs3]. binary number, octal number, hexadecimal number[Comp]. permutation, combination, variation; election. ratio, proportion, comparison &c.464; progression; arithmetical progression, geometrical progression, harmonical progression[obs3]; percentage, permilage. figurate numbers[obs3], pyramidal numbers, polygonal numbers. power, root, exponent, index, logarithm, antilogarithm; modulus, base. differential, integral, fluxion[obs3], fluent. Adj. numeral, complementary, divisible, ...
— Roget's Thesaurus
... antecedent to the application of limitations to it.(337) The last of these three views belonged to Spinoza, along with the ancient Eleatics, the Neo-Platonists of the early ages, and the principal schools of modern German philosophy. Accordingly he tried to work out with mathematical rigour in geometrical form a philosophy of existence, conceiving that the mind grasps the idea of God as infinite substance, and understands its development under two modes; viz. extension and thought: the former the objective act of Deity, the latter the subjective.(338) The universe ...
— History of Free Thought in Reference to The Christian Religion • Adam Storey Farrar
... different. In his first work Professor Smyth describes the coffer as showing no "symptoms" whatever of grooves, or catchpins or other fastenings or a lid. "More modern accounts," he re-observes, "have been further precise in describing the smooth and geometrical finish of the upper part of the coffer's sides, without any of those grooves, dovetails, or steady-pin-holes which have been found elsewhere in true polished sarcophagi, where the firm fastening of the lid is one of the most essential features of the whole business." ...
— Archaeological Essays, Vol. 1 • James Y. Simpson
... thinker of genius, but it was yet more than that—it was the outcome, also, of the work and thought of another man of genius fifty years before. The book of Malthus on the Principle of Population, mainly founded on the fact that animals increase in a geometrical ratio, and therefore, if unchecked, must encumber the earth, had been generally forgotten, and was only recalled with a sneer. But the genius of Darwin recognised in it a deeper meaning, and now the ...
— History of the Warfare of Science with Theology in Christendom • Andrew Dickson White
... seemed favourably disposed towards the expedition, but that, whenever he attempted to enter into particulars, the king began to construct squares and triangles with his fingers upon the sand, and during the whole time that he spoke, seemed unwilling to withdraw his mind from these fits of geometrical study, and showed no anxiety to have a ...
— Life and Travels of Mungo Park in Central Africa • Mungo Park
... in which the theoretical aspects of electromagnetism, the classical theories, and the equations that represent transitory and equilibrium conditions in complex circuits are discussed. In optics, likewise, there is ample material of great importance: physical, geometrical optics, spectroscopy, photography, X-ray crystallography, etc. The advanced student in these fields finds more elasticity and opportunity for cultivating a special interest in having a large number of limited interest courses from which to choose than in having such material presented ...
— College Teaching - Studies in Methods of Teaching in the College • Paul Klapper
... the more we progress the more we tend to progress. We advance not in arithmetical but in geometrical progression. We draw compound interest on the whole capital of knowledge and virtue which has been accumulated since the dawning of time. Some eighty thousand years are supposed to have existed between paleolithic and neolithic ...
— The Stark Munro Letters • J. Stark Munro
... almost as hard of feature, yet of the two more human, stood with pursed lip, his eyes fixed on the floor, as if he were studying the geometrical pattern of the parquet ...
— The Green Rust • Edgar Wallace
... much disposed to take pleasure in the natural sprouts of my own wit—without troubling whether the same idea has occurred to others. Suppose me, in total ignorance of Euclid, to have discovered even the simplest of his geometrical demonstrations, shall I be crestfallen when some one draws attention to the book? These natural sprouts are, after all, the best products of our life; it is a mere accident that they may have no ...
— The Private Papers of Henry Ryecroft • George Gissing
... the complement or completing part of a correspondent dome on the other side of the world. It follows that we are in the heart of a hollow sphere of loveliest blue, spangled with light. Now the sphere is the one perfect geometrical form. Over and round us then we have the one perfect shape. I do not say it is put there for the purpose of representing God; I say it is there of necessity, because of its nature, and its nature is its relation to God. It is of God's thinking; and that half-sphere above men's ...
— What's Mine's Mine • George MacDonald
... "tree plan," with lines branching off from a trunk line like ribs, veins of a leaf, or branches of a tree. 8. Parallel lines which cross at right angles and mark off the field like a checkerboard. 9. Paths making one or more fairly symmetrical geometrical figures, like a square, a diamond, a star, a hexagon, etc. 10. A combination of two or ...
— The Measurement of Intelligence • Lewis Madison Terman
... sight. One of their greatest pleasures is to handle, to grasp, to guess the forms of things by feeling them. It is affecting to see them when they are taken to the Industrial Museum, where they are allowed to handle whatever they please, and to observe with what eagerness they fling themselves on geometrical bodies, on little models of houses, on instruments; with what joy they feel over and rub and turn everything about in their hands, in order to see how it is made. They call ...
— Cuore (Heart) - An Italian Schoolboy's Journal • Edmondo De Amicis
... MR. WILKINSON has traced with singular acumen the manner in which the spirit of geometrical research was diffused amongst the operative classes, and the class immediately above them—the exciseman and the country schoolmaster. Still it is not to be inferred, that even these classes did not contain a considerable ...
— Notes and Queries, Number 57, November 30, 1850 • Various
... paraded in the papers as a "public-spirited citizen." Then the press grew bolder and introduced the adjectives "charming," "fascinating," "beautiful," etc. That "took" still better. The next step was the "write up" in extenso; next the portrait. Thus, in a ratio of geometrical progression, the bad habit has grown from the daring but courtly compliment to its present disguising proportions, and the vanity and folly of the fair followers of fashion have grown ...
— Volume 1 of Brann The Iconoclast • William Cowper Brann
... true opinion when it was asked this would be a miserable world. I asked you because I wanted you to lie. I expected it of you. I needed bolstering up. I realize that the rent I'm paying and the flat I'm getting form a geometrical problem where X equals the unknown quantity and only the agent knows the answer. But it's going to be a home for Jock and me. It's going to be a place where he can bring his friends; where he can have his books, and ...
— Roast Beef, Medium • Edna Ferber
... his horses, his valet, and his sumptuous house; noblemen, millionaires, great dames, and men and women of all degrees conspire to pamper him: for jockey-worship, when it is once started, increases in intensity by a sort of geometrical progression. A shrewd man of the world may smile grimly when he hears that a popular rider was actually received with royal honours and installed in the royal box when he went to the theatre during his honeymoon, but there are the facts. It was so, and the best people of the fine ...
— The Ethics of Drink and Other Social Questions - Joints In Our Social Armour • James Runciman
... science whatever, while my conversation might divert the attention of the blind man. Thus," added he, with extreme volubility, "I would have told him my opinion on the isothermal and orthogonal superficies, causing him to observe that the equations of partial differences, of which the geometrical explanation is summed up in two orthogonal superficies, cannot generally be integral on account of their complication. I should have proved to him that the united superficies are all necessarily isothermal, and together we would have sought what superficies are capable of composing a ...
— Mysteries of Paris, V3 • Eugene Sue
... interpreting more complex thought-forms and mental states. The investigations of the Society for Psychical Research, and those of private investigators as well, have shown us that a picture of a complicated geometrical design held in the mind of one person may be carried to and received by the mind of another person, who reproduces the design on paper. In the same way, complicated thoughts have been transmitted and received. But these are only exceptional cases. In many cases this sense seems almost ...
— Clairvoyance and Occult Powers • Swami Panchadasi
... universe of musical relations, for example, the notes of Aennchen von Tharau were a lovely melody long ere mortal ears ever heard them. Even so the music of the future sleeps now, to be awakened hereafter. Or, if we take the world of geometrical relations, the thousandth decimal of 'pi' sleeps there, tho no one may ever try to compute it. Or, if we take the universe of 'fitting,' countless coats 'fit' backs, and countless boots 'fit' feet, on which they are not practically ...
— The Meaning of Truth • William James
... progress, I perused Father Reynaud's Science of Calculation, and then his Analysis Demonstrated; but I never went far enough thoroughly to understand the application of algebra to geometry. I was not pleased with this method of performing operations by rule without knowing what I was about: resolving geometrical problems by the help of equations seemed like playing a tune by turning round a handle. The first time I found by calculation that the square of a binocular figure was composed of the square of each of its parts, and double the product of one by the other; though ...
— The Confessions of J. J. Rousseau, Complete • Jean Jacques Rousseau
... offered to do so into Latin, if the inquirer would bring him a solution of the problem,—for the advertisement was one of those challenges which the mathematicians of the age were accustomed to throw down to all comers, daring them to discover a geometrical mystery known as they fancied to themselves alone. Descartes promised and fulfilled; and a friendship grew up between him and Beeckman—broken only by the dishonesty of the latter, who in later years took credit for ...
— Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 2 - "Demijohn" to "Destructor" • Various
... sick with the disease; being bitten by other mosquitoes they serve to transmit the disease through the "intermediate host" to still others. Thus the epidemic extends, at first slowly from house to house, then more rapidly, as by geometrical progression. ...
— The Making of Arguments • J. H. Gardiner
... prove my Propositions in detailed geometrical fashion, it is advisable to sketch them briefly in advance, so that everyone may more readily ...
— Ethica Ordine Geometrico Demonstrata - Part I: Concerning God • Benedict de Spinoza
... These names mark the physical and intellectual coming of age of Germany. Lessing died misunderstood and feared by the card-board literary leaders of his day, men who still wrote and thought with the geometrical instruments handed them from France; Kant attempted to push philosophical inquiry beyond the bounds of human experience, and Frederick left Prussia at last not ashamed to be Prussia. Napoleon was eighteen years old ...
— Germany and the Germans - From an American Point of View (1913) • Price Collier
... in our picture are geometrical figures, nevertheless geometry can obviously say nothing at all about their actual form and position. The network, however, is purely geometrical; all its properties can be given a priori. Laws like the ...
— Tractatus Logico-Philosophicus • Ludwig Wittgenstein
... 1. Geometrical Proof: Earth and Water are spheres with different centers; the center of the Earth's sphere is the center of the universe; consequently the surface of the Water is above ...
— Readings in the History of Education - Mediaeval Universities • Arthur O. Norton
... on July 1, 1858, Darwin's share amounts to little more than six pages, yet within this space he describes the geometrical rate of increase of animals, the checks that occur, the effects of changed conditions, the natural selection of the better equipped forms resulting from the struggle for existence, and the influence of sexual selection. Wallace insists ...
— Life of Charles Darwin • G. T. (George Thomas) Bettany
... one inconsistancy in this scheme of things: Just as the train emerged from a deep valley of slag-hills and swung into a long curve, passengers on the left side had a panoramic view of the city—a frozen scene of battle between geometrical monsters, made remote and obscure by the dust of a thousand thousand merely human struggles, too small to be visible from the crusty windows of the train by the merely human eye. They had about one second in which to absorb this vision of corporate purpose. Then they were plunging into a final stretch ...
— In the Control Tower • Will Mohler
... substantial character and essential differences of governments are often lost and confounded in his technical language and arrangement; that he often bends the free and irregular outline of nature to the imposing but fallacious geometrical regularity of system; that he has chosen a style of affected abruptness, sententiousness, and vivacity, ill suited to the gravity of his subject: after all these concessions (for his fame is large enough to spare many concessions), the Spirit of Laws will still remain not only one of the ...
— A Discourse on the Study of the Law of Nature and Nations • James Mackintosh
... measure of success. Of other men's success, that is, and their aim, not his. For he was, in his own eyes, a humble plodder, not in the swim at all. But he ascribed to the huge sums real people had a right to, outside the limits of the likes of him, a kind of sacredness that grew in a geometrical ratio with their increase. It gave him much more pain to hear that a safe had been robbed of thousands in gold than he felt when, on opening a wrapped-up fee, what seemed a guinea to the touch turned out a new farthing and a shilling to the sight. It was in the air that ...
— Somehow Good • William de Morgan
... now and then," I continued, with painful candour, for I longed to see the pictures he had spoken of, "group themselves into globes and round balls of fire, and the lines that flash about sometimes look like triangles and crosses—almost like geometrical figures. Nothing more." ...
— Three John Silence Stories • Algernon Blackwood
... be well to remark that a strategic point is not necessarily a geometrical point; an entire province, or a considerable portion of a geographical frontier, is, in military language, sometimes denominated a point. In the same way, strategic lines, instead of being mathematical lines, are frequently many ...
— Elements of Military Art and Science • Henry Wager Halleck
... Wentworth, directed the public curiosity to Tasmania. For several successive years new books were published, describing the fertility of the soil and the beauty of the climate. These generally contained a theory of pastoral increase—a geometrical progression towards wealth. The increase was, indeed, rapid beyond oriental precedent. Between 1810 and 1820, it was estimated at fifty fold.[109] The adaptation of these colonies for the growth of wool first drew the attention of several gentlemen of Hamburgh, whose importations ...
— The History of Tasmania, Volume I (of 2) • John West
... it that makes common salt crystallize in the form of cubes, and saltpetre in the shape of six-sided prisms? We see no reason why it should not have been just the other way, salt in prisms and saltpetre in cubes, or why either should take an exact geometrical outline, any ...
— Medical Essays • Oliver Wendell Holmes, Sr.
... added attraction in these orchids is their form—the curvature of their sepals and petals, and the wonderful little pitchers and cups and lips and tongues which an orchid exhibits. And the form is no mere geometrical pattern of lines and curves. It is obviously an ingenious contrivance devised for some special purpose. That purpose we now know to be the attraction of insects, who in sucking the orchid's honey will unconsciously ...
— The Heart of Nature - or, The Quest for Natural Beauty • Francis Younghusband
... prove. In both cases the basic axioms are obtained from intuition; the structural work from reason. Our knowledge of the ether may be as absolute and exact as our knowledge of prakriti, working on physical as we work on geometrical axioms. ...
— Ancient and Modern Physics • Thomas E. Willson
... proportion of elements (Chemistry), symmetrical arrangement of parts (Crystallography), numerical and geometrical relation of the forms and movements of the heavenly bodies (Spherical Astronomy), all of which are capable of ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker
... over for its pipes, a branch of manufacture for which it is now as famous as of yore. Partly in this parish and partly in that of Benthall, and only about 300 yards from the station, are the geometrical, mosaic, and encaustic tile works of the Messrs. Maw. They were removed here a few years since from Worcester, the better to command the use of the Broseley clays, since which they have attained to considerable importance, and now rival ...
— Handbook to the Severn Valley Railway - Illustrative and Descriptive of Places along the Line from - Worcester to Shrewsbury • J. Randall
... surprises an European so much as the silence and harmony which prevails among them, and in each family; except when disturbed by that accursed spirit given them by the wood rangers in exchange for their furs. If my children learn nothing of geometrical rules, the use of the compass, or of the Latin tongue, they will learn and practise sobriety, for rum can no longer be sent to these people; they will learn that modesty and diffidence for which the young Indians are so remarkable; they will consider ...
— Letters from an American Farmer • Hector St. John de Crevecoeur
... difficult; breaking stone on the road would be called hard rather than difficult work; that is difficult which involves skill, sagacity, or address, with or without a considerable expenditure of physical force; a geometrical problem may be difficult to solve, a tangled skein to unravel; a mountain difficult to ascend. Hard may be active or passive; a thing may be hard to do or hard to bear. Arduous is always active. That ...
— English Synonyms and Antonyms - With Notes on the Correct Use of Prepositions • James Champlin Fernald
... shape of the arch is similar throughout. This was a concession on the part of the later builders which ensured harmony in the whole; but on each side the tracery is varied. On the east side it is geometrical in character, the work being transitional between Early English and Decorated; on the south side the tracery is more flowing and has advanced to Decorated; on the west side again, we get the transitional style between Decorated and Perpendicular, ...
— Bell's Cathedrals: The Cathedral Church of Norwich - A Description of Its Fabric and A Brief History of the Episcopal See • C. H. B. Quennell
... influence of man, decreasing. Fluctuations there may be; but permanent increase, except in restricted localities, is almost impossible. For example, our own observation must convince us that birds do not go on increasing every year in a geometrical ratio, as they would do, were there not some powerful check to their natural increase. Very few birds produce less than two young ones each year, while many have six, eight, or ten; four will certainly be below ...
— Contributions to the Theory of Natural Selection - A Series of Essays • Alfred Russel Wallace
... these early days every quadrator found a geometrical opponent, who finished him. Regimontanus[45] did this ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan
... and the mosque of Barkuk in the cemetery of Kait Bey, are instances of the second and more matured style of the period. The simple plain ashlar masonry still predominates, but the wall surface is broken up with sunk panels, sometimes with geometrical patterns in them. The principal characteristics of this second period are the magnificent portals, rising sometimes, as in the mosque of sultan Hasan, to 80 or 90 ft., with elaborate stalactite vaulting at the top, and the deep stalactite cornices which crown ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various
... is the capital of the group, and consists of a little village, lying in the heart of the bay, and watered by a noisy, rapid stream. It contained about fifty houses, tolerably clean, and disposed with geometrical regularity. Behind this miniature town there lay 1,500 hectares of meadow land, bounded by an embankment of lava. Above this embankment, the conical ...
— In Search of the Castaways • Jules Verne
... that she hadn't the courage. It gave her quite a thrill as he took her hand and led her out through the low window to the great stone terrace. They passed down the terrace steps into a garden ablaze with tulip beds in geometrical patterns; at the foot ran a yew hedge, and beyond it, in a side-walk, they came upon a scullion boy chasing a sulphur-yellow butterfly. The Grand Duke forgot his fine manners, and dropped his bride's ...
— The White Wolf and Other Fireside Tales • Arthur Thomas Quiller-Couch
... colored print portraying a blue sea, spread with rank upon rank of accurately measured waves, each with its tiny cap of foam, stretching without diminution to the horizon, upon which was perched a full-rigged ship, a geometrical triumph; and from this vessel came by small-boat to the strand a company of accurately moulded, accurately featured, accurately tailored fellows, pulling with perfect accuracy in every respect. I shall never forget the geometrical gentleman ...
— The Cruise of the Shining Light • Norman Duncan
... exercises of the young maidens naked, in sight of the young men, were, moreover, incentives to marriage: and, to use Plato's expression, drew them almost as necessarily by the attractions of love, as a geometrical conclusion follows from the premises. To encourage it still more, some marks of infamy were set upon those that continued bachelors. For they were not permitted to see these exercises of the naked virgins; ...
— Ideal Commonwealths • Various
... to say that the designs of Providence do not stop on such a fair road. Every scheme of this caliber is completed by its results, like a geometrical calculation. The king, in prison, will not be for you the cause of embarrassment that you have been for the king enthroned. His soul is naturally proud and impatient; it is, moreover, disarmed and enfeebled, by being accustomed ...
— The Vicomte de Bragelonne - Or Ten Years Later being the completion of "The Three - Musketeers" And "Twenty Years After" • Alexandre Dumas
... Keynes words, "Society was working not for the small pleasures of to-day, but for the future security and improvement of the race,—in fact for 'progress.' If only the cake were not cut, but was allowed to grow in the geometrical proportion predicted by Malthus of population, but not less true of compound interest, perhaps a day might come when there would be at last the enjoyment of our labors. In that day, overwork, overcrowding and underfeeding ...
— The Settlement of Wage Disputes • Herbert Feis
... reach those more distant. Viewed in relation to this universe of suns, our particular sun and all its satellites—of which the earth is one—shrinks to a point (a physical point, so to speak—not geometrical one). ...
— Four-Dimensional Vistas • Claude Fayette Bragdon
... wainscotings (for example, the alternation of egg and dart), the series of windows in a wall, or of the columns of a Greek temple, or of the black and white keys of a piano. Still more complex is the balanced arrangement of straight lines and curves in a geometrical design, as in certain Oriental rugs or the Gothic rose windows. And probably the most complex spatial rhythms are those of the facades of great buildings like the Gothic cathedrals or St. Mark's of Venice, where only the trained eye perceives ...
— The Principles of English Versification • Paull Franklin Baum
... is plain that all truths cannot be established by reasoning. For the attempt to do so would involve us in an infinite regress, wherein the number of syllogisms required would increase at each step in a geometrical ratio. To establish the premisses of a given syllogism we should require two preceding syllogisms; to establish their premisses, four; at the next step backwards, eight; at the next, sixteen; and so on ad infinitum. Thus the very possibility of reasoning implies truths that are known to us prior ...
— Deductive Logic • St. George Stock
... this curious little fact is not difficult. I will not attempt any geometrical reasoning, but will give only a practical illustration. In doing this, I shall first have to allude to a point which was almost passed over when treating of Twining-plants. If we hold in our left hand a bundle ...
— The Movements and Habits of Climbing Plants • Charles Darwin
... which, if perfected, should at once extend letters a hundred-fold, and by that process revolutionize literature. The writers before, few as they were, had been almost as numerous as the readers; hereafter the readers were to increase in a geometrical proportion, and each great writer should address millions. Movable types, first of wood and then of metal, were made, the latter as early as 1441. Schoeffer, Guttenberg, and Faust brought them to ...
— English Literature, Considered as an Interpreter of English History - Designed as a Manual of Instruction • Henry Coppee
... he seemed to have regarded speech a weakness to be fortified against. Putting the pleasant thought aside, he opened the roll, and with exceeding tenderness of touch brought forth a sheet of vellum dry to brittleness, and yellow as a faded sycamore leaf. There were lines upon it as of a geometrical drawing, and an inscription in strange characters. He bent over the chart, if such it may be called, eagerly, and read it through; then, with a satisfied expression, he folded it back into the cover, rebuckled the straps, and placed the parcel under the pillow. Evidently the business ...
— The Prince of India - Or - Why Constantinople Fell - Volume 1 • Lew. Wallace
... shapes its own world. Intellect and instinct have been developed along divergent lines. The intellect has merely a practical function. It is related to the needs of action.[24] It is the faculty of manufacturing artificial objects, especially tools to make tools.[25] It deals with solids and geometrical figures, and its instrument is logic. But according to Bergson it has an inherent incapacity to deal with life.[26] When we contrast the rigidity and superficiality of intellect with the fluidity, sympathy and intimacy of intuition, we see at once wherein {119} lies ...
— Christianity and Ethics - A Handbook of Christian Ethics • Archibald B. C. Alexander
... an elaborate and most effective design in wood—a fashion very common in Srinagar, consisting of a sort of patchwork panelling of small pieces of wood, cut to length and shape, and tacked on to a backing in geometrical designs. At a little distance the effect is rich and excellent, but close inspection shows up the tintacks and the glue, and a prying finger penetrates the solid-looking panel ...
— A Holiday in the Happy Valley with Pen and Pencil • T. R. Swinburne
... Blackletter; but in most of the pages here devoted to illustrating the individual forms the letters have been spaced too wide for their proper effect that each separate shape might be shown distinctly. The style appears at its best in compositions which fill a panel of more or less geometrical form, as, for example, the beautiful title-page reproduced in 147. Could anything be more delightful to the eye than its rich blackness, energetic lines, and refreshing virility? In this design surely we have a specimen that, from the proportion and balance ...
— Letters and Lettering - A Treatise With 200 Examples • Frank Chouteau Brown
... theories and at the ingenuous minds which take them seriously. He held that all system was but logical infatuation; that the only pardonable follies were those which were frankly avowed; and that only a pedant could clothe his imagination in geometrical theories. In general, pedantry to his eyes was the least excusable of vices; he understood it to be the pretension of tracing back phenomena to first causes, "as if," said he, "there were any 'first causes,' ...
— Stories of Modern French Novels • Julian Hawthorne
... way industriously through cubism. Now he had come out on the other side. He had begun by painting a formalised nature; then, little by little, he had risen from nature into the world of pure form, till in the end he was painting nothing but his own thoughts, externalised in the abstract geometrical forms of the mind's devising. He found the process arduous and exhilarating. And then, quite suddenly, he grew dissatisfied; he felt himself cramped and confined within intolerably narrow limitations. He was humiliated ...
— Crome Yellow • Aldous Huxley
... service and sacrifice, is the noblest consequence of real belief in God. Never a shorter line can bind our planet with the centre of the Universe than the line going through Christ. It is the shortest way, as a straight line is the shortest distance between two geometrical points. ...
— The Agony of the Church (1917) • Nikolaj Velimirovic
... stadium is supposed to have contained a hundred and twenty-five geometrical paces, or six hundred and twenty-five Roman feet, corresponding to our furlong. Eight stadia make a geometrical, or Italian mile; and twenty, according to Dacier, a French league. It is observed, notwithstanding, by Guilletiere, ...
— Trips to the Moon • Lucian
... had been overlooked by my predecessors, but are always accepted readily by my auditors, when fully explained. As new facts and principles led to the discovery of other facts and principles, a system of philosophy (not speculative, but scientific) was thus evolved, and a number of geometrical principles were established as the basis of the science of the brain, so evidently true, though so long overlooked, as to command the unanimous assent of all to whom they have been presented; and, as ...
— Buchanan's Journal of Man, September 1887 - Volume 1, Number 8 • Various
... which I am the High Noble Toby and Surreptitious Treasurer. Two months ago I was the only member. One month ago there were two. To-day we number four Emperors of the Abnormal Proboscis in good standing—doubles every four weeks, see? That's geometrical progression—you know how that piles up. In a year and a half every man in California will have a wart on his Nose. ...
— Fantastic Fables • Ambrose Bierce
... without the need of staff or crutch."[24] This indeed is the glory of Italian as compared with Northern architecture. The Italians valued the strength of simple perspicuity: all the best works of their builders are geometrical ideas of the purest kind translated into stone. It is, however, true that the gain of vast aerial space was hardly sufficient to compensate for the impression of emptiness they leave upon the senses. We feel this very strongly ...
— Renaissance in Italy Vol. 3 - The Fine Arts • John Addington Symonds
... mind. To him X is a known quantity all along. In any picture that he paints he understands the chemical properties of all his colors. However vague some of his figures may seem, however formless the shadows, to him the outline is as clear and distinct as that of a geometrical diagram. For this reason Mr. Poe has no sympathy with Mysticism. The Mystic dwells in the mystery, is enveloped with it; it colors all his thoughts; it affects his optic nerve especially, and the commonest things get a rainbow edging from it. Mr. Poe, ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe
... the neat geometrical pattern of little scars, perpendicular on the forehead, horizontal on the cheeks and in concentric circles on the chest (done with loving care and a knife, in his infancy, by his papa) said only "Ptwack" as he chewed a mouthful of coffee-beans and hide. It may ...
— Driftwood Spars - The Stories of a Man, a Boy, a Woman, and Certain Other People Who - Strangely Met Upon the Sea of Life • Percival Christopher Wren
... turned back from the 9th Thermidor, 1794, to the 3rd of October, 1793, the day on which the seventy-three had been arrested, but not to the 2nd of June, 1793, when the twenty-two were arrested. After overthrowing Robespierre, and the committee, it had to attack Marat and the Mountain. In the almost geometrical progression of popular movement, a few months were still necessary to ...
— History of the French Revolution from 1789 to 1814 • F. A. M. Mignet
... though, instead of not having a penny, he had not a care in the world. Accustomed to the geometrical conduct of my well-fed fellow-Britons, who map out their lives by rule and line, I had no measure whereby to gauge this amazing and inconsequential person. In one way he had acted abominably. To leave an affianced bride in the lurch in this heartless manner was a most ungentlemanly proceeding. ...
— The Joyous Adventures of Aristide Pujol • William J. Locke
... highest authorities have taken issue with this opinion. Sir John Lubbock (Ibid., p. 73) gives the following reasons why the Phoenicians could not have been the authors of the Bronze Age: First, the ornamentation is different. In the Bronze Age "this always consists of geometrical figures, and we rarely, if ever, find upon them representations of animals and plants, while on the ornamented shields, etc., described by Homer, as well as in the decoration of Solomon's Temple, animals and plants ...
— The Antediluvian World • Ignatius Donnelly
... the said cross-aisle, and running parallel therewith. The floor of the whole is paved with marble, but under the cupola and within the rail of the altar with fine porphyry, polished and laid in several geometrical figures. ...
— London in 1731 • Don Manoel Gonzales
... Upon the site where had been the hive of huts wrapped in the green arms of the banana plantation, laboured under the incandescent sun gangs of prisoners under armed guards upon the building of larger huts laid out in streets, broad and geometrical, lined with correct ditches for drainage. Around the outskirts here and there remained ...
— Witch-Doctors • Charles Beadle
... that much of the teaching done by these early professors would sound absurd to our ears, trained to listen to logarithms and geometrical theorems. The point however, which I want to make is this—the Middle Ages and especially the thirteenth century were not a time when the world stood entirely still. Among the younger generation, there was life, there was enthusiasm, and there was ...
— The Story of Mankind • Hendrik van Loon
... the details as in the general proportions; buttresses and battlements were generally omitted. A great deterioration took place in the decorative part; the ornamental pannels and freizes of the Gothic style, consisting of geometrical combinations of circles and straight lines, had always a distinct outline and a sharpness of effect which contrasted agreeably with the foliage so often intermixed; but these were succeeded by strange grotesque combinations, confused, and ...
— Memoirs of the Court of Queen Elizabeth • Lucy Aikin
... to well-defined laws, elaborates its structure into a crystal of great beauty, so does the protoplasm elaborate itself into the most beautiful of all structures—the cell unit. Just as gold and copper crystallizes in a geometrical form, a cube—bismuth and antimony in a hexagonal, iodine and sulphur in a rhombic form—so we find among radiolaria, and among other protista and lower forms, that they "may be traced to a mathematical, fundamental form, and whose form in its whole, as well as in its ...
— Was Man Created? • Henry A. Mott
... building) stationery (articles) counsel (advice or an adviser) miner (a workman) council (a body of persons) minor (under age) complement (a completing element) angel (a spiritual being) compliment (praise) angle (geometrical) ...
— Practical Grammar and Composition • Thomas Wood
... interests of man. The English army, about that time in the great agony of its strife, was thrown into squares; and under that arrangement, which condensed and contracted its apparent numbers within a few black geometrical diagrams, how frightfully narrow, how spectral, did its slender quadrangels appear at a distance, to any philosophic spectators that knew about the amount of human interests confided to that army, and the hopes for Christendom that even then were trembling ...
— Autobiographic Sketches • Thomas de Quincey
... Rhind Papyrus in the British Museum (No. 10,057), which was written before 1700 B.C., probably during the reign of one of the Hyksos kings. The papyrus contains a number of simple arithmetical examples and several geometrical problems. The workings out of these prove that the Egyptian spared himself no trouble in making his calculations, and that he worked out both his arithmetical examples and problems in the most cumbrous and laborious way ...
— The Literature of the Ancient Egyptians • E. A. Wallis Budge
... same name also; while not large, it contains exquisite examples of wood carving, marble mosaic, and plaster ornament worked in by hand. Seventy-seven years later, in 1356, we find that, in the Mosque of Sultan Hasan, the sculpture was in stone; hence, the material being unyielding, the designs are geometrical, instead of arabesque, as in the plaster. This is one of the most important mosques of any age, and is the most characteristic of the madrasah form. Seen from without, the walls appear even higher than the accredited one hundred and thirteen feet; they are built of fine cut stone, from the pyramids, ...
— Travels in the Far East • Ellen Mary Hayes Peck
... Plainly simple, klare. Plainness simpleco. Plaint plendo. Plaintive plenda. Plait (with straw) pajloplekti. Plait plekti. Plait plektajxo. Plait (hair) harligo. Plan plano. Plan (geometrical) plato. Plane raboti. Plane (tool) rabotilo. Planet planedo. Plank tabulo. Plant planti. Plant kreskajxo. Plantation plantejo. Plaster plastro, gipso. Plastron brustosxirmilo. Plate stanumi. Plate telero. Plate (stereotype) klisxajxaro, ...
— English-Esperanto Dictionary • John Charles O'Connor and Charles Frederic Hayes
... who first called attention to the clear flame of Flaubert's visions as exemplified by his Temptation of St. Anthony. So Munch, who pins to paper with almost geometrical accuracy his personal adventures in the misty mid-region of Weir. And a masculine soul is his. I can still recall my impressions on seeing one of his early lithographs entitled, Geschrei. As far as ...
— Ivory Apes and Peacocks • James Huneker
... early learned to use compasses and ruler, because all the instructions they gave me in geometry were forthwith put into practice; and I occupied myself greatly with paste-board-work. I did not stop at geometrical figures, little boxes, and such things, but invented pretty pleasure-houses adorned with pilasters, steps, and flat roofs. However, but little of ...
— Autobiography • Johann Wolfgang von Goethe
... made hereafter.[61] We can see precisely how this relief was made. The stucco adheres to a strong canvas, which in its turn is nailed on to a wooden panel. The background, also much injured, is decorated with mosaic and geometrical patterns of glass, now dim and opaque with age. The relief must have been of signal merit. Complete it would have rivalled the polychrome Madonna of the Louvre: as a fragment it is quite sufficient to prove that the Piot Madonna, ...
— Donatello • David Lindsay, Earl of Crawford
... are the large lines of a soul-history, a sketch of the affecting drama of a man who attains to the conquest of himself, with Bonaventura all this interior action disappears before divine interventions; his heart is, so to speak, the geometrical locality of a certain number of visitants; he is a passive instrument in the hands of God, and we really cannot see why he should have been chosen ...
— Life of St. Francis of Assisi • Paul Sabatier
... should one waste a lot of time, he had thought, and be bored during the wasting, by studying grammar if one could already talk intelligibly to people? And why should one not revel in complicated problems of figures and geometrical designs that really took some hard thinking to work out, if hard thinking was just what ...
— Herbert Hoover - The Man and His Work • Vernon Kellogg
... the Malthusian doctrine,—the fear of over-population as a hindrance to social reform,—was dismissed from consideration. It is at best but a worn-out scarecrow shaking its vain rags in the wind. Population, it is true, increases in a geometrical ratio. The human race, if favored by environment, can easily double itself every twenty-five years. If it did this, the time must come, through sheer power of multiplication, when there would not be standing room for it on the globe. All of this is undeniable, but it is quite wide of the mark. ...
— The Unsolved Riddle of Social Justice • Stephen Leacock
... told. The Romans finally took the city by surprise. Tradition tells that, as the assailants were rushing through the streets, with death in their hands, they found Archimedes sitting in the public square, with a number of geometrical figures drawn before him in the sand, which he was studying in oblivion of the tumult of war around. As a Roman soldier rushed upon him sword in hand, he called out to the rude warrior not to spoil the circle. But the soldier cut him down. Another ...
— Historic Tales, Volume 11 (of 15) - The Romance of Reality • Charles Morris
... called, was more often a farmhouse industry, which accounts for its narrow limits, since, with choice of material, even a small familiarity with geometrical design might bring good results. It might have easily become good domestic art. Geometrical borders in two colors would have taken their place in decorative work, and the applied work, so often ventured upon, was the beginning of one very capable method. ...
— The Development of Embroidery in America • Candace Wheeler
... pored over it, slept with it under his pillow. As for the girl, timid, sensitive, aged fifteen, she fled on his approach, and shook with fear if he looked at her. He made his love plain by logical formulas and proved his passion by geometrical permutations—by charts and diagrams. A seasoned widow might have broken up the icy fastness of his soul and melted his forbidding nature in the crucible of feeling, but this poor girl just wanted some one to hold her little hand and say peace to ...
— Little Journeys to the Homes of the Great Philosophers, Volume 8 • Elbert Hubbard
... corresponding slopes of the gable, are loaded with recumbent figures by the sculptors of the renaissance, are we to call, for instance, Michael Angelo's Dawn and Twilight, only the decorations of the sloping plinths of a tomb, or trace to a geometrical propriety the subsequent rule in Italy that no window could be properly complete for living people to look out of, without having two stone people sitting on the corners of it above? I have heard of charming young ladies occasionally, at very crowded balls, ...
— Val d'Arno • John Ruskin
... seem no special need for light, the place being designed more to pass the night in, than the day; in brief, a pine barrens dormitory, of knotty pine bunks, without bedding. As with the nests in the geometrical towns of the associate penguin and pelican, these bunks were disposed with Philadelphian regularity, but, like the cradle of the oriole, they were pendulous, and, moreover, were, so to speak, three-story cradles; the description of one of which ...
— The Confidence-Man • Herman Melville
... Some of the most prominent and distinctive marks of this style occur in the windows, which were greatly enlarged, and divided into many lights by mullions or tracery-bars running into various ramifications above, and dividing the heads into numerous compartments, forming either geometrical or flowing tracery. Triangular or pedimental canopies and pinnacles, more enriched than before with crockets and finials, yet without redundancy of ornament, also occur in the churches built ...
— The Principles of Gothic Ecclesiastical Architecture, Elucidated by Question and Answer, 4th ed. • Matthew Holbeche Bloxam
... as a geometrical plan, comprising buildings and enclosures, presents a sort of irregular rectangle, one angle of which is nicked out. It is this angle which contains the southern door, guarded by this wall, which commands it only a gun's length away. Hougomont has two doors,—the southern door, ...
— Les Miserables - Complete in Five Volumes • Victor Hugo
... roofs of the structures lacy spires soared heavenward; inter-connected by long, slim cantilever bridges whose prodigious spans seemed out of all proportion to the gossamer delicacy of their construction. Buildings, spires, and bridges formed fantastic geometrical designs, at ...
— Spacehounds of IPC • Edward Elmer Smith
... containing vessel into the water all round. Provided the generator is quite small, provided the carbide container is so constructed as to possess the maximum of superficial area with the minimum of cubical capacity (a geometrical form to which the sphere, and in one direction the cylinder, are diametrically opposed), and provided the walls of the container do not become coated internally or externally with a coating of lime or water scale so as to diminish in heat- transmitting ...
— Acetylene, The Principles Of Its Generation And Use • F. H. Leeds and W. J. Atkinson Butterfield
... its Elements. Numerical and Geometrical Problems. The Theory of Inference. The Construction of Problems. ...
— Symbolic Logic • Lewis Carroll
... enabled to produce an accurate representation of them. Some of the beautiful crystalline deposits shown in Fig. 4 represent less than a millionth part of a grain, yet their forms are delineated with geometrical precision. Earthy phosphates are often mistaken for pus and also seminal fluid. Phosphates are always found in decomposed urine, otherwise they indicate brain affections, acute cystitis, etc. Experience has taught us that the voiding of urine loaded with phosphates ...
— The People's Common Sense Medical Adviser in Plain English • R. V. Pierce
... departure, and also because it is the hub of Washington,—the centre of an eccentric, having the White House at the end of its shorter, and the Capitol at the end of its longer radius,—moral, so they say, as well as geometrical. ...
— Atlantic Monthly, Volume 8, Issue 45, July, 1861 • Various
... decreasing distances on the same stick, but also that the distances are perceptibly the same, and that the situations of the points are identical on different bows compared together, M. Vuillaume sought to ascertain whether the positions of the ten points could not be obtained by a geometrical construction, by which they might be found with certainty; and by which, consequently, bows might be made whose good condition should be always settled a priori. This he attained in the following manner. At the ...
— The Bow, Its History, Manufacture and Use - 'The Strad' Library, No. III. • Henry Saint-George
... should use in distributive justice, I often observe in commutative; and keep a geometrical proportion in both, whereby becoming equable to others, I become unjust to myself, and supererogate in that common principle, "Do unto others as thou wouldst be done unto thyself." I was not born unto riches, neither is it, I think, my star to be wealthy; or if it were, the freedom of my mind, ...
— Religio Medici, Hydriotaphia, and the Letter to a Friend • Sir Thomas Browne
... atmosphere. But under the pressure of a column of water one thousand feet high, giving a pressure of four hundred and thirty-two pounds to the square inch at the bottom, water becomes steam, if at all, only by great heat. Every engineer knows that the pressure exerted by steam increases by great geometrical ratios as the heat increases by small arithmetical ratios. Steam made by two hundred and twelve degrees exerts a pressure, as we ...
— Among the Forces • Henry White Warren
... Soul, and the World,"—Translation done by an Excellency Suhm, as has been hinted,—"from the pen of the same Author. I will send it you when it is finished; and I am sure that the force of evidence in all his propositions, and their close geometrical sequence, ...
— History of Friedrich II. of Prussia, Vol. X. (of XXI.) - Frederick The Great—At Reinsberg—1736-1740 • Thomas Carlyle
... thickness of the columns, the beautiful entablature, the ample proportion of the capital, the great horizontal lines of the architrave and cornice predominating over the vertical lines of the columns, the severity of geometrical forms produced for the most part by straight lines, gave an imposing simplicity ...
— Beacon Lights of History, Volume III • John Lord
... be no denial of the fact that Space is a constituent of the external world, it would seem to follow that those who hold Sensation to be the only source of our Knowledge must be obliged to affirm the possibility of sensations of Space. Mach indeed claims to distinguish physiological Space, geometrical Space, visual Space, tactual Space as all different and yet apparently harmoniously blended in our Experience. He is, however, sadly wanting in clearness of statement. He never tells us when and where exactly we do have a sensation of Space. In truth he never ...
— Essays Towards a Theory of Knowledge • Alexander Philip
... is atrociously bad; but the reflection is grand—it is another way of expressing the beautiful old Greek thought that "God geometrizes everywhere"—that is, that all motion is in geometrical lines, and full of beauty. You can pick hundreds of fine things in very short verse out of Emerson, but the verse is nearly always shapeless; the composition of the man invariably makes us think of diamonds in the rough, ...
— Books and Habits from the Lectures of Lafcadio Hearn • Lafcadio Hearn
... The elder brother shook him, and went into the kitchen. He was followed by the child who staggered from drowsiness. The mother meanwhile had placed on the floor a pile of corn-cakes. Beside it, in an earthen bowl decorated inside and out with geometrical lines, steamed the stew. Dinner was ready; ...
— The Delight Makers • Adolf Bandelier
... and prose, and no store at all upon rhyme. I am tempted to-day to go farther, and to maintain that, the larger, the sublimer, your subject is, the more impertinent rhyme becomes to it: and that this impertinence increases in a sort of geometrical progression as you advance from monosyllabic to dissyllabic and on to trisyllabic rhyme. Let me put this ...
— On The Art of Reading • Arthur Quiller-Couch
... animals. For ages men have been taught what is good for their bodies and their minds and their souls. There has been no question about the wisdom of being temperate and industrious and honest and kind; and the folly of immoderation and laziness and chicanery and meanness is so well known that a geometrical proposition has not been more definitely proved. Yet only a few people in any community observe the rules of life, and of these few no one observes them all; and so misery and pain and poverty and anguish are as a pestilence among men, and they ...
— In Our Town • William Allen White
... upon the question before me, I must say a word of the road that I shall traverse. When Pascal approached a geometrical problem, he invented a method of solution; to solve a problem in philosophy a method is equally necessary. Well, by how much do the problems of which philosophy treats surpass in the gravity of their results those ...
— What is Property? - An Inquiry into the Principle of Right and of Government • P. J. Proudhon
... to write algebra and geometry in class and solve problems in physics, and this I could not do until we bought a braille writer, by means of which I could put down the steps and processes of my work. I could not follow with my eyes the geometrical figures drawn on the blackboard, and my only means of getting a clear idea of them was to make them on a cushion with straight and curved wires, which had bent and pointed ends. I had to carry in my mind, as Mr. Keith says in his report, the ...
— Story of My Life • Helen Keller
... a growing mastery of the forces of nature. In the period in which their most brilliant minds were busied with the problems of the universe men might improve the building of ships, or invent new geometrical demonstrations, but their science did little or nothing to transform the conditions of life or to open any vista into the future. They were in the presence of no facts strong enough to counteract that profound veneration of antiquity which seems natural to mankind, ...
— The Idea of Progress - An Inquiry Into Its Origin And Growth • J. B. Bury
... symbols of the third degree. Here the same mystical application is supplied as in the Egyptian figure, namely, that the union of the male and female, or active and passive principles of nature, has produced the world. For the geometrical proposition being that the squares of the perpendicular and base are equal to the square of the hypothenuse, they may be said to produce it in the same way as Osiris and Isis are equal to, or produce, ...
— The Symbolism of Freemasonry • Albert G. Mackey
... wandered back to bygone times, while I, not wishing to interrupt her, had taken the poker in my hand and with it was tracing geometrical figures in the peat-ash on the hearthstone. So absorbed was I in my circles and pentagons that I did not notice that Grannie had stopped short in her story, and was taking a lively interest in what I was doing. ...
— More Tales of the Ridings • Frederic Moorman
... beneath his chest, but as he used his hand with less effect owing to the inflammation, he did not immediately despatch himself, and having some difficulty in dying he fell from the bed and made a noise by overturning a little abacus of the geometrical kind that stood by, which his attendants perceiving called out and his son and his friends immediately ran in. Seeing him smeared with blood and the greater part of his bowels protruding, though he was still alive and his eyes were open, ...
— Plutarch's Lives Volume III. • Plutarch
... sextant, pocket chronometer, and artificial horizon. I have to lament that our mountain barometers were broken at an early stage of the expedition; the height however of some principal points had been previously obtained, and is marked on the chart; these in two instances were verified by geometrical measurement, and the difference was found to be too trilling to be noticed. The conveyance of such delicate instruments is always attended with great risk, and in our case peculiarly so, our means being only those of horseback. I am afraid that a method of constructing ...
— Journals of Two Expeditions into the Interior of New South Wales • John Oxley
... reception by Mansong. That prince assured him, in general, that the expedition would be allowed to pass down the Niger; but whenever the latter came to particulars, and proposed an interview with Mr. Park, the king began to draw squares and triangles with his finger on the sand, and in this geometrical operation his mind seemed wholly absorbed. Isaaco suspected that he laboured under some superstitious dread of white men, and sought by these figures to defend himself against their magic influence. It was finally arranged, that the presents should be delivered, not to Mansong in person, ...
— Lander's Travels - The Travels of Richard Lander into the Interior of Africa • Robert Huish
... either black or brown); and the vessels must have been thick, and with a thicker coarse rim. Out of the grave in the mound V, the pottery was more perfect. There are pieces of a tinaja (bowl) with a vertical rim, yellow outside, white inside, with black geometrical ornamentation, not vitrified. This kind of pottery is still made by the Indians of Nambe, of Tezuque, and of Cochiti. (The former two are Tehuas, the latter is Queres.) But there I also found fragments of a plain black pottery, ...
— Historical Introduction to Studies Among the Sedentary Indians of New Mexico; Report on the Ruins of the Pueblo of Pecos • Adolphus Bandelier
... what you know to be right, for the right's sake alone. And conscience has never wavered in the inculcation of that precept. The reason of man has been constantly advancing, discovering the content of the moral law just as it has been discovering the content of the geometrical, mathematical or musical law; but conscience, like the polar star, has been pointing steadily in one direction, the direction of duty, without error, without failure. "An erring conscience," says the ethical ...
— Morality as a Religion - An exposition of some first principles • W. R. Washington Sullivan
... to those who are desirous of knowing divine concerns through images, the method will be apparent. Thus, for instance, the Politicus shadows forth the fabrication in the heavens. But the figures of the five elements, delivered in geometrical proportions in the Timaeus, represent in images the idioms of the gods who preside over the parts of the universe. And the divisions of the essence of the soul in that dialogue shadow forth the total orders of the gods. To this we may also add that Plato ...
— Introduction to the Philosophy and Writings of Plato • Thomas Taylor
... concrete, pragmatic situation—anything, no matter how abstract, that arouses their curiosity or appeals to their love of mastery offers enough of a problem. Sometimes children are vitally interested in working geometrical problems, translating difficult passages in Latin, striving to invent the perpetual motion machine, even though there is no evident and useful result. It is not the particular type of situation that is the thing to be considered, but the attitude that ...
— How to Teach • George Drayton Strayer and Naomi Norsworthy |
