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Geometrical   Listen
adjective
Geometrical, Geometric  adj.  
1.
Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.
2.
(Art) Characterized by simple geometric forms in design and decoration; as, a buffalo hide painted with red and black geometrical designs.
Synonyms: geometric. Note: Geometric is often used, as opposed to algebraic, to include processes or solutions in which the propositions or principles of geometry are made use of rather than those of algebra. Note: Geometrical is often used in a limited or strictly technical sense, as opposed to mechanical; thus, a construction or solution is geometrical which can be made by ruler and compasses, i. e., by means of right lines and circles. Every construction or solution which requires any other curve, or such motion of a line or circle as would generate any other curve, is not geometrical, but mechanical. By another distinction, a geometrical solution is one obtained by the rules of geometry, or processes of analysis, and hence is exact; while a mechanical solution is one obtained by trial, by actual measurements, with instruments, etc., and is only approximate and empirical.
Geometrical curve. Same as Algebraic curve; so called because their different points may be constructed by the operations of elementary geometry.
Geometric lathe, an instrument for engraving bank notes, etc., with complicated patterns of interlacing lines; called also cycloidal engine.
Geometrical pace, a measure of five feet.
Geometric pen, an instrument for drawing geometric curves, in which the movements of a pen or pencil attached to a revolving arm of adjustable length may be indefinitely varied by changing the toothed wheels which give motion to the arm.
Geometrical plane (Persp.), the same as Ground plane.
Geometrical progression, Geometrical proportion, Geometrical ratio. See under Progression, Proportion and Ratio.
Geometrical radius, in gearing, the radius of the pitch circle of a cogwheel.
Geometric spider (Zool.), one of many species of spiders, which spin a geometrical web. They mostly belong to Epeira and allied genera, as the garden spider. See Garden spider.
Geometric square, a portable instrument in the form of a square frame for ascertaining distances and heights by measuring angles.
Geometrical staircase, one in which the stairs are supported by the wall at one end only.
Geometrical tracery, in architecture and decoration, tracery arranged in geometrical figures.






Collaborative International Dictionary of English 0.48








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"Geometrical" Quotes from Famous Books



... so little tact as to give their 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 ...
— Roast Beef, Medium • Edna Ferber

... inhabitants had substituted the cultivation of vegetables for which they found a market on the continent and in England; and the numerous cultivated patches along the mountain sides presented a very pretty appearance from the anchorage—laid out as they were with seemingly geometrical precision. The hardy little horses could be hired very cheaply, and the justly extolled natural beauties of the island in the vicinity of Funchal were fully explored. The greater portion of it is quite inaccessible except on foot, but the tough little native ponies which are as sure footed ...
— The Narrative of a Blockade-Runner • John Wilkinson

... the ornaments of baskets, pottery, and all rounded objects; and (2) all distortion, disintegration, degradation of pattern- motives, often so marked as all but to destroy their meaning, is in the direction of geometrical symmetry. The early art of all civilized nations shows the same characteristic. Now it might be said that, as there exists an instinctive tendency to imitate visual forms by motor impulses, the ...
— The Psychology of Beauty • Ethel D. Puffer

... and a bowery walk, all in good taste. Here hundreds of tourists pass a portion of "the season," as in a "loop-hole of retreat." In the front of the inn, however, the stream of life glides fast; and a little past it, the road crosses the Mole by Burford Bridge, and winds with geometrical accuracy through the whole of this ...
— The Mirror of Literature, Amusement, and Instruction - Vol. 12, Issue 337, October 25, 1828. • Various

... what I had seen, a disquieting idea forced itself upon me in a geometrical form. It seemed to me that the activity and prosperity of the subjects of the Pope were in exact proportion to the square of the distance which separated them from Rome: in other words, that the shade of the monuments of the eternal city was noxious to the cultivation of the ...
— The Roman Question • Edmond About

... branched passages, where, in comparative slack water, the siege of the caves was resumed. For hour after hour this went on, the invaders dying by hundreds, but increasing by thousands and ten thousands, as the geometrical progression advanced, until, with swimming-spaces nearly choked by their bodies, living and dead, there came the inevitable turn in the tide of battle. A white monster ...
— "Where Angels Fear to Tread" and Other Stories of the Sea • Morgan Robertson

... They frequently show the greatest skill and cunning in the construction of their webs and the capture of their prey, and naturalists say that the spider has a very well developed brain. They must certainly have a geometrical talent, or they could not arrange their webs with such regularity and scientific accuracy. Some spiders will throw their webs across streams ...
— Round-about Rambles in Lands of Fact and Fancy • Frank Richard Stockton

... in detail. In every branch, from the most solid to the most sentimental, she was victorious. For machinery a million of gamins beat a million of Cockneys in the proportion of seven to six; in the economical and chemical arts, four to one; in the geographical and geometrical, eight to three; and in the fine arts, Waterloo was reversed to the ...
— Lippincott's Magazine, Vol. XVII, No. 99, March, 1876 • Various

... getting somewhat used to the prevalence in the West of those figurative forms of expression which we call slang. So he took it for granted that "square meals" were for some reason preferable to meals of any other geometrical form, and answered simply that he would look up Mrs. Deming's house after ...
— A Captain in the Ranks - A Romance of Affairs • George Cary Eggleston

... dressed in those geometrical, undulations without which no New York audience feels itself clothed. They saw Pinky less frequently as time went on and her feeling or responsibility lessened. Besides, the magazine covers took most of her day. She gave a tea for her father and mother at her own studio, and Mrs. ...
— O Henry Memorial Award Prize Stories of 1919 • Various

... this continuity society may learn, as the individual organism does, by the method of trial and error. Costly blunders need not be repeated, and the waste involved {144} in untried experiments may steadily be reduced. Furthermore, the advance is by geometrical, and not merely by arithmetical progression. Every discovery and achievement is multiplied in fruitfulness through being added to the capital stock and reinvested in ...
— The Moral Economy • Ralph Barton Perry

... 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. It was with no little surprise, therefore, that ...
— More Tales of the Ridings • Frederic Moorman

... Demerara. On the Spanish part of the American continent, land is measured by fanegas, each fanega containing twelve quarrees, and each quarree five and one-fifth English acres. A quarree measures one hundred geometrical paces, or three ...
— The Commercial Products of the Vegetable Kingdom • P. L. Simmonds

... who work with so many learned theories, have been less successful in discovering the real facts about animals than of laymen, largely because the scientists have not yet learned that arithmetical notions are more difficult than geometrical ones. Our industrial civilisation has caused us to lose the idea of the insignificance that number has in animal life compared to the idea of size. Most animals have a remarkable sense of size; they measure time and distance better than civilised man. A hyena, for example, knows just how ...
— The Human Side of Animals • Royal Dixon

... and in all his relations with the world, a pure and upright man. He had begun an investigation, as he imagined, with the severe and equal integrity of a judge, desirous only of truth, even as if the question involved no more than the air-drawn lines and figures of a geometrical problem, instead of human passions, and wrongs inflicted on himself. But, as he proceeded, a terrible fascination, a kind of fierce, though still calm, necessity, seized the old man within its gripe, and never set him free again, ...
— The Scarlet Letter • Nathaniel Hawthorne

... blending classic influence with Tuscan instinct. The roof of the Sistine was destined to exhibit to an awe-struck world what wealths of originality lay in the artist thus gifted, and thus swayed by rival forces. For the present, it may be enough to remark that, in the geometrical proportions of this bas-relief, which is too high for its length, Michelangelo revealed imperfect feeling for antique principles; while, in the grouping of the figures, which is more pictorial than sculpturesque, he already betrayed, what remained with him a defect ...
— The Life of Michelangelo Buonarroti • John Addington Symonds

... and strangers of distinction. The house stands opposite the church; and has behind it a spacious garden, arranged in a somewhat formal style, with box-edgings to the walks, and summer-houses and other ornaments in the old geometrical style of gardening. This was open to the people, of course; and here the band played on summer evenings, or more frequently on Sunday afternoons; and here, too, flowers were cultivated, I ...
— The Communistic Societies of the United States • Charles Nordhoff

... 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 Art of Interior Decoration • Grace Wood

... martial cloak around him. If Edinburgh be the Athens of Scotland, Aberdeen is its Sparta. And yet after a while Aberdeen becomes a weariness and an abomination. For you discover that it is one endless series of geometrical diagrams. The pavements run in parallel lines, the houses are rectilineal, the gardens are squares or oblongs; if by chance the land sprawls in billocks and hollows, nevertheless is it partitioned in rigid lines. The architecture is equally austere. ...
— Without Prejudice • Israel Zangwill

... course, the distance of this point from Y is the mean side shift of the hatchet; this distance measured from the zero of the scale on the back of the instrument is the area of the figure in square inches. The scale is read in exactly the same manner as a geometrical scale on a drawing, the whole numbers being read to the right of the zero and the decimals to the left. The instrument does not profess to give results nearer than ...
— Scientific American Supplement, No. 1082, September 26, 1896 • Various

... 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 the summit of the building. ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various

... be obvious, to every child in Spaceland who has touched the threshold of Geometrical Studies, that, if I can bring my eye so that its glance may bisect an angle (A) of the approaching stranger, my view will lie as it were evenly between his two sides that are next to me (viz. CA and AB), so that I shall contemplate the two ...
— Flatland: A Romance of Many Dimensions (Illustrated) • Edwin A. Abbott

... reloaded on board ten of our ships to be sent to London, one Mr Robert Adams, a man of excellent skill, took the exact bigness, height, length, breadth, and other dimensions of this huge vessel, that these might be preserved according to the exact rules of geometrical proportions, both for present knowledge and transmission to posterity, omitting nothing which either his art could demonstrate, or any mans judgment think worthy of being known. After an exact survey of the whole frame, he found the ...
— A General History and Collection of Voyages and Travels, Volume VII • Robert Kerr

... either an indefinite increase of knowledge or 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, and the Athenians of the ...
— The Idea of Progress - An Inquiry Into Its Origin And Growth • J. B. Bury

... beautiful and pliable forms all over the earth, in fountains, water-falls, dew, rain-drops; and, when it cannot 'stand before His cold,' it comes down softly upon us, in crystal asteroids and all the geometrical forms of snow. I love to think that God has associated that beautiful element, the water, with religion. And now it does not seem accordant with the works and ways of Him, of whom we say, 'How great is his goodness, how great is his beauty,' ...
— Bertha and Her Baptism • Nehemiah Adams

... ceiling. The frieze of the lower part rested on rude stone caryatides; the upper part was formed of oak panels very curiously carved in the geometrical designs favoured by the taste prevalent in the reigns of Elizabeth and James, but different from any I had ever seen in the drawings of old houses,—and I was not quite unlearned in such matters, for my poor father was a passionate antiquary ...
— A Strange Story, Complete • Edward Bulwer-Lytton

... studied mathematics in Paris according to the analytical method, instead of the geometrical, which was at that time exclusively taught ...
— The Diary and Letters of Madame D'Arblay Volume 3 • Madame D'Arblay

... 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 ...
— The Cruise of the Shining Light • Norman Duncan

... pure doctrinaires there were a good many painters who, without reducing their forms to geometrical abstractions, by modifying them in accordance with Cubist theory gave a new and impressive coherence to their compositions. Of them the best known, in England at all events, is Jean Marchand, whose admirable work has been admired here ...
— Since Cezanne • Clive Bell

... adhere to form, though the pattern must be elaborate enough to hide its scheme from the casual reader, and sufficiently elastic to provide space for sentiment and pathos. In his sixty-eighth poem Catullus employs what might be called a geometrical pattern, in fact a pyramid of unequal steps. He mounts to the central theme by a series of verses and descends on the other side by a corresponding series. In the sixty-fourth poem, however, the epyllion ...
— Vergil - A Biography • Tenney Frank

... 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 therefore ...
— History of Free Thought in Reference to The Christian Religion • Adam Storey Farrar

... removed to the Cape Town museum. It is thought that they represent vultures, and the vulture was a bird of religious significance among some of the Semitic nations. Fragments of soapstone bowls were discovered, some with figures of animals carved on them, some with geometrical patterns, while on one were marks which might possibly belong to some primitive alphabet. There were also whorls somewhat resembling those which occur so profusely in the ruins of Troy, and stone objects which may be phalli, though some ...
— Impressions of South Africa • James Bryce

... lighted it and flipped the match into the campfire. He smoked it down to the last inch, staring into the fire and saying nothing the while. When the cigarette stub followed the match, he leaned back upon one elbow and began tracing a geometrical figure in the sand ...
— The Trail of the White Mule • B. M. Bower

... dream for years of immeasurable distances, and what is beyond and beyond and beyond, and all that nonsense. The great beauty of astronomy is not what is incomprehensible in it, but its comprehensibility—its geometrical ...
— Miriam's Schooling and Other Papers - Gideon; Samuel; Saul; Miriam's Schooling; and Michael Trevanion • Mark Rutherford

... Her hands, though too thin, are rather pretty and aristocratic, and weighted heavily with odd-looking rings. Her foot is not too large for her slipper. Uncommon thing! for women, in regard to their shoes, have falsified the geometrical axiom: the receptacle should be greater than ...
— The Cross of Berny • Emile de Girardin

... France is so singularly auspicious? Is our monarchy to be annihilated, with all the laws, all the tribunals, and all the ancient corporations of the kingdom? Is every landmark of the country to be done away in favor of a geometrical and arithmetical constitution? Is the House of Lords to be voted useless? Is Episcopacy to be abolished? Are the Church lands to be sold to Jews and jobbers, or given to bribe new-invented municipal republics into a participation in ...
— The Works of the Right Honourable Edmund Burke, Vol. III. (of 12) • Edmund Burke

... literature became accessible to churchmen. Afterwards, the physics of Galileo and of Newton began not only to undermine numerous superstitions, but to give to men a confidence in the reality of abstract truth, and in our power to attain it in other domains than that of geometrical demonstration. This, together with the philosophy of Locke, was taken up into Christian thought, and Political Toleration was the first fruit. Beyond that point, English religion has hardly gone. For in spite of all that has since ...
— Phases of Faith - Passages from the History of My Creed • Francis William Newman

... practical mechanics all the manual arts belong, from which mechanics took its name. But as artificers do not work with perfect accuracy, it comes to pass that mechanics is so distinguished from geometry, that what is perfectly accurate is called geometrical; what is less so is called mechanical. But the errors are not in the art, but in the artificers. He that works with less accuracy is an imperfect mechanic: and if any could work with perfect accuracy, he would be the most perfect mechanic of all; for the description of right lines ...
— Prefaces and Prologues to Famous Books - with Introductions, Notes and Illustrations • Charles W. Eliot

... seemed to reflect uneasily; but he said at length that he 'would see about it,' and, with a rough bow, got out of the room. That night no hilarious sounds came from the kitchen. On Sunday morning, when Miss Rodney went into her sitting-room, she found on the table the wooden geometrical forms, excellently made, just as she wished. Mabel, who came with breakfast, was bidden to thank her father, and to say that Miss Rodney would like to speak with him again, if his leisure allowed, after tea-time on Monday. At that hour the carpenter did not fail ...
— The House of Cobwebs and Other Stories • George Gissing

... consists in proportion, and no doubt this is one of the conditions of beauty, but only one. An ill-proportioned object cannot be beautiful, but the exact correspondence of parts, as in geometrical figures, does ...
— The Works of Frederich Schiller in English • Frederich Schiller

... faculties, united in one individual, had not been already in itself a character, and had not constituted a well-marked distinct personality, almost unique in kind, Moore would have been at variance with the most profound moralists, who agree that human nature never has the simplicity of a geometrical figure, and that, in reality, characters always are mixed, complicated, composed of opposite elements of incompatible inclinations and passions. For Moore appears to think that men are almost always swayed by one chief passion, round which, as round a pivot, life unrolls itself, just as we see ...
— My Recollections of Lord Byron • Teresa Guiccioli

... same year, and the death of the great Frederick in 1786. 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 ...
— Germany and the Germans - From an American Point of View (1913) • Price Collier

... series of segments of a screw attached to a thin broad hoop supported by arms so twisted as also to form part of a screw. The propeller subsequently applied to the steamship 'Princeton' was identical with my said design of 1835. Even the mode adopted to determine, by geometrical construction, the twist of the blades and arms of the 'Princeton's' and other propellers was identical with my design ...
— Beacon Lights of History, Volume XIV • John Lord

... Now I am at one with Lord Foppington, and 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 value in the world's market. One of my conscious efforts, in these days of freedom, is to live intellectually ...
— The Private Papers of Henry Ryecroft • George Gissing

... jasper, carnelian, lapis-lazuli, agate, turquoise, bloodstone, malachite and other precious materials in the form of foliage, flowers, ornamental scrolls, sentences from the Koran in Arabic letters and geometrical patterns. The decoration is as beautiful and as rich as the Taj Mahal, so far as it goes, and was done by the ...
— Modern India • William Eleroy Curtis

... glass; and Deity the invisible force, which keeps the instrument in motion. Each revolution produces a different pictorial figure, which, complete in its harmony of parts, is perfect in its mathematical proportions, and beautiful in its geometrical designs. And yet each creation, each form, and each combination of forms, are produced by the same little pieces of glass; and all of them, in reality, are optical illusions; i.e., natural phenomena, which deceive the physical senses. So it is with ...
— The Light of Egypt, Volume II • Henry O. Wagner/Belle M. Wagner/Thomas H. Burgoyne

... light; the rings of lovely shadow which the creature went on making in the dark, as the oyster its opaline laminations, and its tree-pearls of beautiful knots, where a beneficent disease has broken the geometrical perfection of its structure, gloom out ...
— A Dish Of Orts • George MacDonald

... Revelation alike contributed to the flood; and it was long ere my ark touched on an Ararat, and rested. The idea of the Supreme Being appeared to me to be as necessarily implied in all particular modes of being as the idea of infinite space in all the geometrical figures by which space is limited. I was pleased with the Cartesian opinion, that the idea of God is distinguished from all other ideas by involving its reality; but I was not wholly satisfied. I began then to ask myself, ...
— Biographia Literaria • Samuel Taylor Coleridge

... of loneliness that sharpens into resentment. I am widowed by the loss of the higher half of your entity. Can you not see, Philip, it is not your views I combat, your theory about humanitarianism and all that? They are but the geometrical figures of thought in your mind; and I have no wish to disturb your "philosophic proposition." The point is, I love that in you more than I love the lover. And the passion with which you cling to it as something ...
— The Jessica Letters: An Editor's Romance • Paul Elmer More

... excellent 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

... is known, such as that in plate LXXI, is similar in design and method of execution to that shown in the other plates. There is one point, however, in which the Roman work is quite different. In Sicily and southern Italy the bands and borders of geometrical patterns are largely made up of glass or composition, while the Cosmati confined themselves to the use of colored marbles. In the south, and particularly in Sicily, gold is freely used, but this is lacking in the work of the Cosmati. As a result ...
— The Brochure Series of Architectural Illustration - Vol 1, No. 9 1895 • Various

... northeastern blast, to be a whirlwind; and the beautiful hues of the iris, bright with hope and promise, play upon the melting clouds in the segment of a circle. The eagle soars toward the heavens in curves, as though measuring the angles of distant objects by geometrical figures; and the drunkard, when unable longer to control his movements, describes a curvilinear path as he reels homeward from his revels, and waits at his bed-side to catch hold of a post as it "comes round again." Those German principalities ...
— Ups and Downs in the Life of a Distressed Gentleman • William L. Stone

... barbarism, but dominant, triumphant, issues forth from darksome crypts and soars upward,—elevates her vaulted roofs. "The Oriental ogive appears.... The architects heap arcade on arcade, ogive on ogive, pyramid on pyramid, and give to all geometrical symmetry and artistic grace.... The Greek column is there, but dilated to colossal proportions, and exfoliated in a variegated capital." The old Roman arch disappears, and the pointed arch is substituted,—graceful and elevated. The old Egyptian obelisk appears in the spire reaching to heaven, ...
— Beacon Lights of History, Volume V • John Lord

... 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 become ...
— The Gallery • Roger Phillips Graham

... illustrate the more common classes of appearances. The list, however, might be indefinitely expanded from the experience of any experienced occultist, and is not intended to be full by any means. All varieties of geometrical forms are found among the thought forms, some of them being of ...
— The Human Aura - Astral Colors and Thought Forms • Swami Panchadasi

... verkosxtelisto. Plague pesto—ego. Plague-stricken (person) pestulo. Plain malbela. Plain senornama. 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

... she had kissed away all feeling of cold from his body, and his heart was a lump of ice. He was dragging along some pointed flat pieces of ice, which he laid together in all possible ways, for he wanted to make something with them; just as we have little flat pieces of wood to make geometrical figures with, called the Chinese Puzzle. Kay made all sorts of figures, the most complicated, for it was an ice-puzzle for the understanding. In his eyes the figures were extraordinarily beautiful, and of the ...
— Andersen's Fairy Tales • Hans Christian Andersen

... and the Greeks hung geometrical forms over their cradles, so as to strike the eyes of the child with lawful relations. Froebel introduces colored balls for the same purpose, which, considering the psychological and emotional condition of the child, leads to the joyful conception of motion, ...
— Froebel's Gifts • Kate Douglas Wiggin

... power as one; each would thrill with life. 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," the constant evolution ...
— Recreations in Astronomy - With Directions for Practical Experiments and Telescopic Work • Henry Warren

... eggs laid varies with the size of the animal. The law of production may be arithmetically expressed as follows: The number of eggs produced at each reproductive period varies in a geometrical series, while the length of lobsters producing these eggs varies in an arithmetical series. According to this law an 8-inch lobster produces 5,000 eggs, a lobster 10 inches long 10,000, a 12-inch lobster 20,000. This high rate of production is not maintained beyond the length of ...
— The Lobster Fishery of Maine - Bulletin of the United States Fish Commission, Vol. 19, Pages 241-265, 1899 • John N. Cobb

... art; to him Varro propounded to cast Romulus's nativity, even to the first day and hour, making his deductions from the several events of the man's life which he should be informed of, exactly as in working back a geometrical problem; for it belonged, he said, to the same science both to foretell a man's life by knowing the time of his birth, and also to find out his birth by the knowledge of his life. This task Tarrutius undertook, and first looking into the actions and casualties ...
— Plutarch's Lives • A.H. Clough

... began to understand that all ideas, all reason and philosophy, are the result of outer impression. The primal language of our minds is in the concrete. Afterwards it becomes the cypher, and even at its highest it is expressed by angles, lines, and geometrical forms—substances and allusive shapes. But now, as the scene shifted by, I had involuntarily thrust forward my hands as did the girl when she passed out into the night, and, in doing so, touched the curtain of my cabin door swinging in towards me. I recovered myself, ...
— The Judgment House • Gilbert Parker

... Proportion.—Definite 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 ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker

... illustrated by the scene spread out beneath us. Seen from a balloon the streets of a rambling town resolve themselves into beautifully defined curves, straight lines, and various other highly respectable geometrical shapes. ...
— Faces and Places • Henry William Lucy

... triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should demonstrate our possession of a reasonable intelligence.... Now, suppose I ... I might draw the geometrical figure with a wet finger, or even ...
— The First Men In The Moon • H. G. Wells

... turn of the argument, to prevent the vessel of the state from being hurried forward with the progress of improvement, and dashed in pieces down the tremendous precipice of human perfectibility. Then comes Mr. Malthus forward with the geometrical and arithmetical ratios in his hands, and holds them out to his affrighted contemporaries as the only means of salvation. "For" (so argued the author of the Essay) "let the principles of Mr. Godwin's Enquiry and of ...
— The Spirit of the Age - Contemporary Portraits • William Hazlitt

... 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 ...
— Was Man Created? • Henry A. Mott

... placed the "zirs," while several doors lead to the harim, as the ladies' quarters are called, and the various offices and reception-rooms of the house. These doors are always panelled in elaborate geometrical designs, and the principal one, which is reached by a short flight of stone steps, is set in a lofty recess, the trefoil head of which is richly carved. This gives access to the reception-room on the first floor. One side is entirely open to ...
— Peeps at Many Lands: Egypt • R. Talbot Kelly

... very sweet life here, Madame [Madame d'Argental, an outside party]: it would have been more so, if Maupertuis had liked. The wish to please, is no part of his geometrical studies; the problem of being agreeable to live with, is not one he has solved." [—OEuvres de Voltaire,—lxxiv. 330, 504 (4th May, 1751, and 14th March, 1752), to the D'Argentals; to Niece Denis (6th ...
— History of Friedrich II. of Prussia, Vol. XVI. (of XXI.) - Frederick The Great—The Ten Years of Peace.—1746-1756. • Thomas Carlyle

... as many as five hundred houses; but, as these ate all, or nearly all, houses which would cost 20U or more ducados in this court, they occupy as much space as would a city of two thousand inhabitants here. For the wall, as measured by me, is 2U250 geometrical pasos in circumference, at five tercias for each paso, which makes three quarters of a legua. [53] In all these islands there are none unconverted except the Zambales, as I have said above, and those in the mountains where the mines are, and a few villages behind these ...
— The Philippine Islands, 1493-1898 • Emma Helen Blair

... not know what to say. To get a word to August was what she most desired. But the thought of using Humphreys was repulsive to her. She could not see his face in the gathering darkness, but she could feel him smile that same soulless, geometrical smile. She could not do it. She did not know what to say. So she said nothing. Humphreys saw that he must ...
— The End Of The World - A Love Story • Edward Eggleston

... precise curves realized without instruments of any kind by the Coleoptera and Hymenoptera in cutting leaves, the stereometry of the aphides. Then, as it were, at the bottom of the scale (if one may still speak of a descent and a bottom) the marvellous plancton filters of the Appendiculata; the geometrical spots of the Amoebae; the cases of perfect forms of so many other Protozoa; and, finally, think of the constructive technic of the static organs, or of those of movement either in man or animals or plants; think of the complex mathematics of the ...
— Lola - The Thought and Speech of Animals • Henny Kindermann

... 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, and was looked upon in ...
— The Atlantic Monthly, Volume 18, No. 107, September, 1866 • Various

... life in chopping down acorn trees and the other splitting them up into rails. Washington could not tell a story. Lincoln always could. [Laughter.] And Lincoln's stories always possessed the true geometrical requisites, they were never too long, and never too broad. [Laughter.] He never forgot a point. A sentinel pacing near the watchfire while Lincoln was once telling some stories quietly remarked that "He had a mighty powerful memory, but ...
— Modern Eloquence: Vol III, After-Dinner Speeches P-Z • Various

... 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

... moment my attention was drawn to an unexpected sight. At a distance of five hundred paces, at the turn of a high promontory, appeared a high, tufted, dense forest. It was composed of trees of moderate height, formed like umbrellas, with exact geometrical outlines. The currents of wind seemed to have had no effect upon their shape, and in the midst of the windy blasts they stood unmoved and firm, just like ...
— A Journey to the Interior of the Earth • Jules Verne

... seminary for the training of teachers, and a school for teaching the different branches of industrial drawing. There are free-hand drawing from copies and plaster models, perspective and geometrical drawing, the drawing and painting of ornamental and practical designs, and flower-painting on wood, china, and paper, with thorough courses of one and two years in the History of Art. Modelling in clay, wax, and designs ...
— In and Around Berlin • Minerva Brace Norton

... among other things, he said: "I'm glad you've got your garden so wild and natural—nothing clipped and trimmed, no rectangles, circles, or other geometrical figures, from which one deduces at once that one has to do with men of a very low grade of intelligence. To take delight in squares and circles is a bad sign. Who wants to have intercourse with cave-men? No—you've got a very ...
— The German Classics of the Nineteenth and Twentieth Centuries - Masterpieces of German Literature Vol. 19 • Various

... romance called Marcos de Obregon. "The doctor was a tall, meagre, pale man, who had kept the shears of Clotho employed for forty years at least. He had a very solemn appearance, weighed his discourse, and used 'great pomp of words.' His reasonings were geometrical, and his opinions his own." Dr. Sangrado considered that blood was not needful for life, and that hot water could not be administered too plentifully into the system. Gil Blas became his servant and pupil, and was allowed to drink any quantity of water, but to eat only ...
— Character Sketches of Romance, Fiction and the Drama - A Revised American Edition of the Reader's Handbook, Vol. 3 • E. Cobham Brewer

... 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

... calumniated! Here when I stay with you from time to time, my life gains a kind of reality and that's what I like most of all. You see, like you, I suffer from the fantastic and so I love the realism of earth. Here, with you, everything is circumscribed, here all is formulated and geometrical, while we have nothing but indeterminate equations! I wander about here dreaming. I like dreaming. Besides, on earth I become superstitious. Please don't laugh, that's just what I like, to become superstitious. ...
— The Brothers Karamazov • Fyodor Dostoyevsky

... 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, on ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe

... In a new colony everything increases rapidly in worth—a landed estate which can be bought in the early stages of its existence at a mere nominal price grows yearly in value without a penny being expended upon it; stock increases in a geometrical ratio, at little or no cost, for there is plenty of land to pasture them upon. Nothing of this kind either does or can take place in England; and when the settler finds how changed his prospects are, and how new ...
— Journals Of Two Expeditions Of Discovery In North-West And Western Australia, Vol. 2 (of 2) • George Grey

... music perform this part, as color does in painting. And whereas each sound produced by a sonorous body is invariably allied with its major third and fifth, whereas it acts on grains of fine sand lying on stretched parchment so as to distribute them in geometrical figures that are always the same, according to the pitch,—quite regular when the combination is a true chord, and indefinite when the sounds are dissonant,—I say that music is an art conceived in the very bowels ...
— Gambara • Honore de Balzac

... other. But the good debater is he who faces the negative aspects of the question, who meets sudden objections, has an answer for any momentary summons of doubt or difficulty, dissipates seeming inconsistencies, and reconciles the geometrical smoothness of a priori abstractions with the coarse angularities of practical experience. The great work of Ricardo is of necessity, and almost in every page, polemic; whilst very often the particular objections or ...
— The Posthumous Works of Thomas De Quincey, Vol. 1 (2 vols) • Thomas De Quincey

... observer—say, upon Venus—would notice on our earth when the harvest ripens over huge tracts of country; that is, of course, if the earth's atmosphere allowed a clear view of the terrestrial surface—a very doubtful point indeed. Professor Lowell thinks that the perfect straightness of the lines, and the geometrical manner in which they are arranged, are clear evidences of artificiality. On a globe, too, there is plainly no reason why the liquid which results from the melting of the polar caps should trend at all in the direction of the equator. Upon our earth, for instance, ...
— Astronomy of To-day - A Popular Introduction in Non-Technical Language • Cecil G. Dolmage

... "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 ...
— Volume 1 of Brann The Iconoclast • William Cowper Brann

... into the silent Casa de Montezuma. They were in a hall about ten feet high, fifteen feet broad, and forty feet long, which evidently ran across the whole front of the building. The walls were hard-finished and adorned with etchings in vermilion of animals, geometrical figures, and nondescript grotesques, all of the rudest design and disposed without regard to order. A doorway led into a small central room, and from that doorways opened into three more rooms, one ...
— Overland • John William De Forest

... twilight at our lonely mast on the shore, just seen above the alders, and hardly yet come to a stand-still from the swaying of the stream; the first encroachment of commerce on this land. There was our port, our Ostia. That straight geometrical line against the water and the sky stood for the last refinements of civilized life, and what of sublimity there is in ...
— A Week on the Concord and Merrimack Rivers • Henry David Thoreau

... and four horses and only one postilion, as the most dangerous thing that a carriage and horses can do. We had two great wooden logs for drags, and snapped them both like matches. The road is like a geometrical staircase, with horrible depths beneath it; and at every turn it is a toss-up, or seems to be, whether the leaders shall go round or over. The lives of the whole party may depend upon a strap in the harness; and if we broke our rotten harness once yesterday, ...
— The Life of Charles Dickens, Vol. I-III, Complete • John Forster

... living-room, beyond the oven, and served as pantry and kitchen. A wooden trough, like a chopping-tray, was the washtub. The ironing or mangling apparatus consisted of a rolling-pin, round which the article of clothing was wrapped, and a curved paddle of hard wood, its under-surface carved in pretty geometrical designs, with which it was smoothed. This paddle served also to beat the clothes upon the stones, when the washing was done in the river, in warm weather. A few wooden bowls and spoons and earthen ...
— Russian Rambles • Isabel F. Hapgood

... 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

... vernacular dialects of each race. Their confabulation, aided by inspired interpreters, was truly amusing and interesting. On one occasion I saw a sister, inspired by a squaw, her head mounted with an old hat of felt, cocked, jammed, and indented in no geometrical form, rush to a pan containing a collection of the amputated legs of hens, seize a handful of the raw delicacy, and devour them with as much alacrity as a Yankee woman would an ...
— The Communistic Societies of the United States • Charles Nordhoff

... 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 ...
— Archaeological Essays, Vol. 1 • James Y. Simpson

... the workings of the mind of the child that the philosopher appeals who wishes to prove that knowledge is recollection, and that our recognition of geometrical truths—so prompt as to appear instinctive—depends on our having been actually familiar with them in an earlier world. The Christian mystic invokes with equal confidence his own memories of a state which seemed as yet to ...
— Wordsworth • F. W. H. Myers

... from either. The town areas with which we have now to deal are small squares or oblongs; they are divided by two main streets into four parts and by other and parallel streets into square or oblong house-blocks ('insulae'), and the rectangular scheme is carried through with some geometrical precision. The 'insulae', whatever their shape—square or oblong—are fairly uniform throughout. Only, those which line the north side of the E. and W. street are often larger than the rest (pp. 88, 125).[58] ...
— Ancient Town-Planning • F. Haverfield

... made people I ever saw, while the women are the poorest. The dress of the women consists of large pieces of tapa, worn around the hips and over the head, and a third piece is sometimes used as a shawl. Tapa is not made at Graciosa Bay, but inland; it is often painted in simple but effective geometrical designs. ...
— Two Years with the Natives in the Western Pacific • Felix Speiser

... hypothenuse of a right-angled triangle equals four times the area of the triangle, plus the square of the difference of the other two sides." This principle has been known to mathematicians by means of arithmetic and algebra, but has never before, we believe, been reduced to a geometrical demonstration. The demonstration of this principle by Mr. Smith is one of the clearest, simplest, and most beautiful in Geometry. The work is divided into three parts, I. The Philosophy of Geometry, II. Demonstrations in Geometry, and III. Harmonies of ...
— The International Weekly Miscellany, Volume I. No. 8 - Of Literature, Art, and Science, August 19, 1850 • Various

... Journal, which he had not had time to finish at lunch, and after first opening and refolding the Post, and putting it on the top of the bread basket on his left, sits down to read it. He ornaments the rye-bread with geometrical butter hieroglyphics, cuts off a piece of cheese in the shape of a rectangle, fills his liqueur glass three quarters full and raises it to his lips, hesitates as if the little glass contained physic, throws back ...
— Married • August Strindberg

... its natural lifetime produces several eggs or seeds, must suffer destruction during some period of its life, and during some season or occasional year; otherwise, on the principle of geometrical increase, its numbers would quickly become so inordinately great that no country could support the product. Hence, as more individuals are produced than can possibly survive, there must in every case ...
— The World's Greatest Books - Volume 15 - Science • Various

... a while forget his disappointment almost as completely as he did the wet-winged winds that had been flapping and wheeling about the house ever since the thaw set in. His obliviousness could not, however, ensure him against the effects of cold shower-baths, and before long his geometrical drawing was done to the accompaniment of a hollow-sounding cough, which made Dan remember a time some years ago when Nicholas had been so seriously ill with pleurisy that voices had said at their door, "Ah, the crathur, he'll scarce ...
— Strangers at Lisconnel • Barlow Jane

... which Ethelberta passed through rose the principal staircase, constructed of a freestone so milk-white and delicately moulded as to be easily conceived in the lamplight as of biscuit-ware. Who, unacquainted with the secrets of geometrical construction, could imagine that, hanging so airily there, to all appearance supported on nothing, were twenty or more tons dead weight of stone, that would have made a prison for an elephant if so arranged? The art which produced this illusion was questionable, but its success ...
— The Hand of Ethelberta • Thomas Hardy

... 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

... head full of Roman castrametation and geometrical problems, a prince, scarce emerged from boyhood, presents himself on that stage where grizzled Mansfelds, drunken Hohenlos, and truculent Verdugos have been so long enacting, that artless military drama which consists of hard knocks and wholesale massacres. The novice is received with universal ...
— The Rise of the Dutch Republic, 1555-1566 • John Lothrop Motley

... then boiled. They are then easily split up into flattish straws, and become a colour varying from rather bright yellow to brown. For making the belt these two materials, looking rather like black and bright yellow straw, are plaited together in various geometrical patterns. The width of the belt is 2 inches, or a trifle more. It is tied at ...
— The Mafulu - Mountain People of British New Guinea • Robert W. Williamson

... story may be briefly 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 ...
— Historic Tales, Volume 11 (of 15) - The Romance of Reality • Charles Morris

... 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 extremity of a right line A B, equal to 0^m, 700 (27.56 inches), ...
— The Bow, Its History, Manufacture and Use - 'The Strad' Library, No. III. • Henry Saint-George

... Mathematics of the Egyptians is the 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 ...
— The Literature of the Ancient Egyptians • E. A. Wallis Budge

... started back; and a deep flush swept her face. For a few seconds she paused; at such a time a few succeeding seconds seem to lengthen in geometrical progression. The strain upon me, and, as I could easily see, on the Doctor also, relaxed as ...
— The Jewel of Seven Stars • Bram Stoker

... observed, carved into life-size figures of men, women, and children, fishes, birds, and various other animals, such as the beaver, wolf, or bear. Each of the wall planks had evidently been hewn out of a whole log, and must have required sturdy deliberation as well as skill. Their geometrical truthfulness was admirable. With the same tools not one in a thousand of our skilled mechanics could do as good work. Compared with it the bravest work of civilized backwoodsmen is feeble and bungling. The completeness of form, finish, and proportion ...
— Travels in Alaska • John Muir

... B!" But Joyce, who was a born tease, could no more resist the temptation of baiting Cynthia, than she could have refused a chocolate ice-cream soda, so she continued to make foolish and irrelevant comments on every geometrical statement, until, in sheer exasperation, Cynthia threw ...
— The Boarded-Up House • Augusta Huiell Seaman

... persons to ideas and numbers, and from ideas and numbers to persons,—from the heavens to man, from astronomy to physiology; he confuses, or rather does not distinguish, subject and object, first and final causes, and is dreaming of geometrical figures lost in a flux of sense. He contrasts the perfect movements of the heavenly bodies with the imperfect representation of them (Rep.), and he does not always require strict accuracy even in applications of number and figure (Rep.). His mind lingers around the forms of mythology, ...
— Timaeus • Plato

... involved in it. So, again, in the pictorial art, an arabesque, or a "harmony in grey," touches none but the aesthetic faculty. But a great mathematician, and even many persons who are not great mathematicians, will tell you that they derive immense pleasure from geometrical reasonings. Everybody knows mathematicians speak of solutions and problems as "elegant," and they tell you that a certain mass of mystic symbols is "beautiful, quite lovely." Well, you do not see it. They do see it, because the intellectual process, the process of comprehending ...
— Science & Education • Thomas H. Huxley

... bulk of his books were printed in Roman and Italic, of which he had several well-cut founts. He had also some good initials, ornaments, and borders. In the folio edition of Plutarch's Lives, which he printed in 1579, each life is preceded by a medallion portrait, enclosed in a frame of geometrical pattern; some of these, notably the first, and also those shown on a white background, are very effective. His device was an anchor held by a hand issuing from clouds, with two sprigs of laurel, and the motto 'Anchora Spei,' the whole ...
— A Short History of English Printing, 1476-1898 • Henry R. Plomer

... statues. Below, in broad stages that fell away toward a wooded valley, lay other gardens, deriving a vague stateliness from their successive balustrades and sculptured fountains. The moonlight, while blanching the geometrical pattern of the paths, and frosting the rectangular flowerbeds, imparted to the whole surrounding, billowing panorama an ...
— Sacrifice • Stephen French Whitman

... work at a geometrical ratio, as one midsummer day seems to repair the damage of a ...
— Atlantic Monthly, Vol. 10, No. 61, November, 1862 • Various

... considerable difficulty,—difficulty arising not so much from the nature of the subject, as from the metaphysical and abstruse manner in which it has been treated. We must follow Spinoza through the labyrinth of his Theological Politics and his Geometrical Ethics; we must follow Schelling and Hegel into the still darker recesses of their Transcendental Philosophy; for a philosophy of one kind can only be met and neutralized by a higher and a better, and the first firm step towards the refutation of error is a thorough comprehension of ...
— Modern Atheism under its forms of Pantheism, Materialism, Secularism, Development, and Natural Laws • James Buchanan

... been screened off by perforated panels, which for the sake of warmth and comfort had been filled up into solid wainscot by a succeeding generation. Thus one side of the room was richly carved with geometrical designs and arabesque pilasters, while the other three sides were in small simple panels, with a deep fantastic frieze in plaster, depicting a deer-chase in relief and running be tween woodwork and ceiling. ...
— What Will He Do With It, Complete • Edward Bulwer-Lytton

... summed up in a paper addressed to the Archaeological Association in September 1845, by Mr C. Winston. Two circles of Early Decorated glass are to be seen in the west window, but they are merely composed of coloured pieces arranged in geometrical patterns. The general arrangement of the great window is, as has been already said, kaleidoscopic, the fragments which compose it being too scattered to admit of being put together again in their original form. The effect, however, is striking, particularly ...
— Bell's Cathedrals: The Cathedral Church of Winchester - A Description of Its Fabric and a Brief History of the Episcopal See • Philip Walsingham Sergeant

... onwards, the Osmia abandons geometrical accuracy; the architect seems to be a little out in her reckoning. The transversal partitions become more and more slanting and the work grows irregular, but always with a sprinkling of large chambers for ...
— Bramble-bees and Others • J. Henri Fabre

... of this interior is cruciform, two hundred feet in each dimension. Built by the Red Cross of the state of Ohio, and dedicated to the larger uses of that organization, the symbolic appropriateness of this particular geometrical figure should not pass unremarked. The cross is divided into side aisles, nave, and crossing, with galleries and mezzanines so arranged as to shorten the arms of the cross in its upper stages, leaving the clear-story surrounding the crossing ...
— Architecture and Democracy • Claude Fayette Bragdon

... is the best part of beauty, which a picture cannot express; no, nor the first sight of the life. There is no excellent beauty, that hath not some strangeness in the proportion. A man cannot tell whether Apelles, or Albert Durer, were the more trifler; whereof the one, would make a personage by geometrical proportions; the other, by taking the best parts out of divers faces, to make one excellent. Such personages, I think, would please nobody, but the painter that made them. Not but I think a painter may make a better face than ever was; but he must do it by a kind of felicity (as a musician that ...
— Essays - The Essays Or Counsels, Civil And Moral, Of Francis Ld. - Verulam Viscount St. Albans • Francis Bacon

... were painted a light buff. The furniture consisted of two single-width beds, two chiffoniers, a study table and two straight-backed chairs. The beds were against the opposite walls, the table in the geometrical centre of the rug, the chiffoniers occupied a portion of the remaining wall space on each side and the two chairs were set between beds and bureaus. The window was in a slight bay and there was a six-foot seat below it. The room was lighted ...
— Left End Edwards • Ralph Henry Barbour

... easily done and the method is shown in Plate XXVI. Mats in over and under weave, of solid color (either natural or dyed), are used, and the embroidery is done with colored straws. Plate XXVII illustrates an embroidered color panel. Floral, geometrical, and conventionalized designs are discussed under the headings ...
— Philippine Mats - Philippine Craftsman Reprint Series No. 1 • Hugo H. Miller

... and the soft, ceaseless jar of the throbbing engines, half a dream hovered above his head, and touched him with a gentle, insistent caress. If you had passed by him this afternoon, and had been anything of a mathematician who could straighten out geometrical angles, you would have come close to his height had you stopped at five feet nine. Indeed, had you clipped off the heels of his low shoes, you would have been exact. But all your nice calculations would not have solved his weight. He was slender, but he was hard and compact. ...
— The Man on the Box • Harold MacGrath

... narrow, capricious sky-lights in the cornices. But there would 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

... given to them, that they are intended to represent the sixteen Prophets of the Old Testament. Above these canopies, in each of the four sides, is a gallery or passage with an embattled parapet, and above that a large window of four lights with geometrical tracery; it is extremely sharp pointed, and towards the top each window is faced internally with a trellis or lattice-work of stone, which adds to its elegance without intercepting the light. These windows rise to the same height as the higher ...
— Ely Cathedral • Anonymous

... branches of philosophy, I had, at an earlier period, given some attention to logic, and among those of the mathematics to geometrical analysis and algebra,—three arts or sciences which ought, as I conceived, to contribute something to my design. But, on examination, I found that, as for logic, its syllogisms and the majority of its other precepts are of avail—rather in the communication of what we already know, ...
— A Discourse on Method • Rene Descartes

... a fine library, and out of it a vast amount of information. He never bought a book that he did not read, and he never read a book unless he considered it worth buying and worth keeping. Languages and mathematics were his particular delight. When he was tired he rested himself by the solving of a geometrical problem. He studied his Bible in Latin, in Greek, in Hebrew, and he had no small smattering of Sanskrit. His chief recreation, on a Sunday afternoon or on a long summer evening, was a walk with The Boy among the Hudson River docks, when ...
— A Boy I Knew and Four Dogs • Laurence Hutton

... or Mind, and its opposite, the so-called material life and mind, are figured by two geometrical symbols, a circle or sphere and a straight 282:6 line. The circle represents the infinite with- out beginning or end; the straight line represents the finite, which has both beginning and end. The sphere 282:9 represents good, the self-existent and eternal individuality or Mind; ...
— Science and Health With Key to the Scriptures • Mary Baker Eddy

... 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 carry on their wings or backs the flower's ...
— The Heart of Nature - or, The Quest for Natural Beauty • Francis Younghusband

... provision to be nugatory. Planted in a wasted country, amongst the former owners and their families, with little to do but to make love, and no lips to make love to but Irish, love or marriage must follow between them as necessarily as a geometrical conclusion follows from the premises. For there were but few who (in the language ...
— The Land-War In Ireland (1870) - A History For The Times • James Godkin

... made the law that beauty is variety. Monotony, though magnificent, will become irksome, but variety is an unceasing delight. Versailles, with its formal avenues of shorn foliage, and its geometrical lawns and terraces, may please you more at first sight than an English park, because the mind feels a sort of pride in being able to grasp such vast ideas at a glance. But you will find, upon a second or third visit, that the unnatural arrangement of the French pleasure grounds has something ...
— Continental Monthly, Volume 5, Issue 4 • Various

... us,—massive in its materials and fabric, and yet constructed with some degree of mechanical skill,—to come to the conclusion that the Nuraghe are works of a very early period, just when rude labour had begun to be directed by some rules of geometrical art. But, in examining the details, we find little or nothing to assist us in forming any clear idea of the period at which they were erected, or the purpose for which they were designed. There are not the slightest ...
— Rambles in the Islands of Corsica and Sardinia - with Notices of their History, Antiquities, and Present Condition. • Thomas Forester

... of eye-color in man and coat-color in horses, Karl Pearson worked out the necessary correlations, which are usually referred to as the law of Ancestral Inheritance. Dr. Galton had pointed out, years before, that the contributions of the several generations of individuals probably formed a geometrical series, and Professor Pearson calculated this series, for the two ...
— Applied Eugenics • Paul Popenoe and Roswell Hill Johnson

... was sometimes over-daring; and there are critics who profess to discern, after the beginning of the Russian campaign, and especially in the last contest in Belgium, signs of a decline in his almost superhuman vigilance and energy. Yet all must admit "that transcendent geometrical faculty," as Sainte-Beuve calls it, "which characterized Napoleon, and which that powerful genius applied to war with the same ease and the same aptitude that Monge [a great French mathematician] applied ...
— Outline of Universal History • George Park Fisher

... Night. However, I ought to add that some practical minds tried to put themselves into serious communication with her. Some years ago a German mathematician proposed to send a commission of savants to the steppes of Siberia. There, on the vast plains, immense geometrical figures were to be traced by means of luminous reflectors; amongst others, the square of the hypothenuse, vulgarly called the 'Ass's Bridge.' 'Any intelligent being,' said the mathematician, 'ought to understand the scientific destination of that figure. The Selenites (inhabitants of the moon), ...
— The Moon-Voyage • Jules Verne

... warm and cosy. A cake of barley bread was on the table, and a little black teapot stood there also. There was no furniture but a low wooden bed, one chair, a settle, and a broad shelf. On the shelf was a slate scrabbled all over with geometrical figures, and one of these figures was a parabola with two tangents drawn touching. This puzzled me much. I sat down to warm my hands and my half-frozen face, and when I felt comfortable ...
— The Romance of the Coast • James Runciman

... Principle, let it be but deep enough, goes on aggregating, and this even in a geometrical progression: how when the whole world, in such a plastic time, is forming itself into Clubs, some One Club, the strongest or luckiest, shall, by friendly attracting, by victorious compelling, grow ever stronger, till it become ...
— The French Revolution • Thomas Carlyle

... speed and the eye is fixed on a point, the white (or coloured) line will seem to undulate in a very extraordinary manner. The line is made up of arcs of circles, and as the marking out is somewhat of a geometrical problem, a diagram (Fig. 141) is added to show how it is done. The dotted curves are those parts of the circles which do not enter ...
— Things To Make • Archibald Williams

... the works, he was 'pretty merry and well to do,' zealous in study, welcome to many friends, unwearied in loving- kindness to his mother. For some time he spent three nights a week with Dr. Bell, 'working away at certain geometrical methods of getting the Greek architectural proportions': a business after Fleeming's heart, for he was never so pleased as when he could marry his two devotions, art and science. This was besides, in all likelihood, the beginning of that love and intimate appreciation of things Greek, from the least ...
— Memoir of Fleeming Jenkin • Robert Louis Stevenson

... are determined, not by the procreative power of its members, which always greatly exceeds the capacity of the earth to support a progeny increasing in geometrical progression, but by two factors, the activity of its enemies and the available supply of food. Those species which survive owe their success in the struggle for existence mainly to one of two qualities, enormous fertility or parental care. The female cod spawns about 6,000,000 ...
— Outspoken Essays • William Ralph Inge

... exceptional cases, acquired a faculty of receiving and 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 ...
— Clairvoyance and Occult Powers • Swami Panchadasi

... denominated verses often, eight, six, or four syllables, even to this day. Thus have we lost sight of the great advantage which our language has given us over the French, in point of poetic numbers, by its being capable of a geometrical proportion, on which the harmony of versification depends; and blindly reduced ourselves to that of the arithmetical kind which contains no natural power of pleasing the ear. And hence like the French, our chief pleasure ...
— The Grammar of English Grammars • Goold Brown

... occasional controversies as to how the earth is supported in space. The Greeks, too, had an elaborate mythology largely adapted from their neighbours, but they were not satisfied with this, and made persistent attempts to reduce the apparent motions of celestial objects to geometrical laws. Some of the Pythagoreans, if not Pythagoras himself, held that the earth is a sphere, and that the apparent daily revolution of the sun and stars is really due to a motion of the earth, though at first this motion of the earth was not supposed to be one ...
— Kepler • Walter W. Bryant

... Byron's friend, possibly at Harrow, though his name does not occur in the school lists, certainly at Trinity College, Cambridge (B.A. 1808). He represented Truro from 1810 to 1812, when he left England on his Eastern travels. At Philae he discovered an obelisk, the geometrical elevation and inscriptions of which he published in 1820. In Mesopotamia he encountered John Silk Buckingham, whom he afterwards charged with making use of his notes in his 'Travels', a statement, found to be libellous, ...
— The Works Of Lord Byron, Letters and Journals, Vol. 1 • Lord Byron, Edited by Rowland E. Prothero

... of the actual side of that figure. Nevertheless, he had learned to square the circle with a close approximation to the truth, and, in general, his measurement sufficed for all his practical needs. Just how much of the geometrical knowledge which added to the fame of Thales was borrowed directly from the Egyptians, and how much he actually created we cannot be sure. Nor is the question raised in disparagement of his genius. Receptivity is the first prerequisite ...
— A History of Science, Volume 1(of 5) • Henry Smith Williams

... tenth successive time, he slid into his desk-chair an hour late, Mr. Comer bowed to him, not only familiarly, but sarcastically, then invited him to step into his private office and see if he could locate the center of the carpet. It was a geometrical task that Louis had been wishing to try for ...
— Laughing Bill Hyde and Other Stories • Rex Beach

... others have a geometrical aspect. In each class the similarity tends to indicate character. The fox-faced man is apt to be sly, the triangular man is likely to be a lump. So Mr. Asche, being rectilinear, was on the square; ...
— By Advice of Counsel • Arthur Train

... 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 gets behind the postulate of an all-enveloping ...
— Essays Towards a Theory of Knowledge • Alexander Philip



Words linked to "Geometrical" :   fine arts, beaux arts, geometrical irregularity, nonrepresentational, geometry, geometric, geometrical regularity



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