单词 | cycloid |
例句 | Kahn played with natural light in the Fort Worth building, suffused with skylights, reflectors and cycloid barrel vaults. Louvre Bids to Keep a Chardin Bought by U.S. Museum in France 2022-05-04T04:00:00Z Figure 1.9 A wheel traveling along a road without slipping; the point on the edge of the wheel traces out a cycloid. Calculus, Volume 3 2016-03-30T00:00:00Z When the distance from the center of the wheel to the ant is greater than the radius of the wheel, his path of motion is called a prolate cycloid. Calculus, Vol 2 2016-03-30T00:00:00Z This curve of quickest descent, as it is sometimes called, is, in a vacuum, the same as the cycloid. Webster's Unabridged Dictionary (2nd 100 Pages) 2012-03-24T02:00:19.387Z It is physically impossible to mill out a concave cycloid, by any means whatever, because at the pitch line its radius of curvature is zero, and a milling cutter must have a sensible diameter. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z The cycloid is the simplest member of the class of curves known as roulettes. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z Use Green’s theorem to find the area under one arch of the cycloid given by parametric plane x = t − sin t, y = 1 − cos t, t ≥ 0. Calculus, Volume 3 2016-03-30T00:00:00Z A graph of a prolate cycloid is shown in the figure. Calculus, Vol 2 2016-03-30T00:00:00Z It is smaller than Neoceratodus, somewhat eel-shaped, with very narrow fins, and small cycloid scales embedded in the skin. The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde 2011-04-14T02:00:57.977Z It is impossible to mill out even a convex cycloid or epicycloid, by the means and in the manner above described. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z No mention of the cycloid has been found in writings prior to the 15th century. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z He recognized this as a particular kind of curve which we know now as the cycloid and he studied many of its peculiarities and suggested its mathematical import. The Century of Columbus 2011-01-29T03:00:17.380Z Figure 7.9 A wheel traveling along a road without slipping; the point on the edge of the wheel traces out a cycloid. Calculus, Vol 2 2016-03-30T00:00:00Z His researches led him to propose a new classification of fishes, which he divided into four classes, distinguished by the characters of the skin, as ganoids, placoids, cycloids, and ctenoids. The New Gresham Encyclopedia. Vol. 1 Part 1 A to Amide This is on account of a hitherto unnoticed peculiarity of the curve at a constant normal distance from the cycloid. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z The companion to the cycloid is a curve so named on account of its similarity of construction, form and equation to the common cycloid. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z If the Colonel had inquired about hexameter verse or the volume of the cycloid, he might have obtained perhaps prompt and correct answers. The Story of the Raising and Organization of a Regiment of Volunteers in 1862 Military Order of the Loyal Legion of the United States, Commandery of the District of Columbia, War Papers 46 These equations are a bit more complicated, but the derivation is somewhat similar to the equations for the cycloid. Calculus, Vol 2 2016-03-30T00:00:00Z The particles starting from x = 0 describe cycloids, and the greatest distance they can get from the plane is equal to the diameter of the generating circle of the cycloid, i.e. to 2Xm/eH�. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 8 "Conduction, Electric" The outer curve h l, evidently, could be milled out by the cutter, whose centre travels in the cycloid c a; it resembles the cycloid somewhat in form, and presents no remarkable features. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z Many other mathematicians have written on the cycloid—Blaise Pascal, W. G. Leibnitz, the Bernoullis, Roger Cotes and others—and so assiduously was it studied that it was sometimes named the “Helen of Geometers.” Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z The first term, π √l/g, is the time of swing in a cycloid. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 5 "Clervaux" to "Cockade" Earlier in this section, we looked at the parametric equations for a cycloid, which is the path a point on the edge of a wheel traces as the wheel rolls along a straight path. Calculus, Vol 2 2016-03-30T00:00:00Z The steep descents form cycloid curves, that flatten at their bases, and over which the ferruginous stratum of mould atop projects like a cornice. The Cruise of the Betsey or, A Summer Ramble Among the Fossiliferous Deposits of the Hebrides. With Rambles of a Geologist or, Ten Thousand Miles Over the Fossiliferous Deposits of Scotland Now in making a rack template, the cutter, after reaching c, travels in the reversed cycloid c r, its left-hand edge, therefore, milling out a curve d k, similar to h l. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z A famous period in the history of the cycloid is marked by a bitter controversy which sprang up between Descartes and Roberval. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z The balance escapement, even when adapted to a pendulum, necessitated a swing of some 20�, and hence the circular error, that is to say, the deviation of the path from a true cycloid, was considerable. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 5 "Clervaux" to "Cockade" In this project we look at two different variations of the cycloid, called the curtate and prolate cycloids. Calculus, Vol 2 2016-03-30T00:00:00Z During an access of severe toothache which, in 1658, deprived him of sleep, his thoughts fastened on certain problems connected with the cycloid. Pascal How the examiner must have rejoiced when he invented this diabolical rod, with its equilibrium, its oscillations, its cycloid, and other tormenting accessories. The Romance of Mathematics Being the Original Researches of a Lady Professor of Girtham College in Polemical Science, with some Account of the Social Properties of a Conic; Equations to Brain Waves; Social Forces; and the Laws of Political Motion. The mechanical properties of the cycloid were investigated by Christiaan Huygens, who proved the curve to be tautochronous. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z Huygens proposed to apply his discovery to clocks, and since the evolute of a cycloid is an equal cycloid, he suggested the use of a flexible pendulum swinging between cycloidal cheeks. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 5 "Clervaux" to "Cockade" First, let’s revisit the derivation of the parametric equations for a cycloid. Calculus, Vol 2 2016-03-30T00:00:00Z Pascal’s labours on the cycloid may be said to bring to a close his scientific career. Pascal On a map the Canary Islands look like seven irregular fish scales, and of these Grand Canary is a cycloid scale. A Tramp's Notebook His enquiries into evolutes enabled him to prove that the evolute of a cycloid was an equal cycloid, and by utilizing this property he constructed the isochronal pendulum generally known as the cycloidal pendulum. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z However, for a short distance near the bottom, the circle so nearly coincides with the cycloid that a pendulum swinging in the usual circular path is, for small arcs, isochronous for practical purposes. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 5 "Clervaux" to "Cockade" The Study and Construction of Toothed Gear.—Involute, cycloid, and epicycloid. Scientific American, Volume 40, No. 13, March 29, 1879 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures But if you mark a point B on the circumference of the flange of a locomotive-wheel, the curve will be a curtate cycloid, as in Fig. Amusements in Mathematics Such is the cycloid, first conceived by Galileo, and a stumbling-block and cause of contention among geometers long after he had left it, together with his system of the universe, undetermined. The Atlantic Monthly, Volume 03, No. 20, June, 1859 In the first course, there was a shoulder of mutton cut into an equilateral triangle, a piece of beef into a rhomboides, and a pudding into a cycloid. Gulliver's Travels If, for example, his subject were the comparative anatomy of the cycloid and ganoid fishes, the difference in their scales was scarcely of vital importance to one's general culture. Tracks of a Rolling Stone Chasles, in his History, says that the cycloid interweaves itself with all the great discoveries of the seventeenth century. The Atlantic Monthly, Volume 05, No. 30, April, 1860 It is not yet known to what philosopher we owe the invention of the cycloid. Letters on England In brief—distinct grounds, and vivid circular or cycloid figures, of no meaning, are here Median laws. The Works of Edgar Allan Poe — Volume 5 In 1644 he published a tract on the properties of the cycloid in which he suggested a solution of the problem of its quadrature. A History of Science — Volume 2 Now the whole of this variety is the result of subjecting each part of the curve to a law more simple than that of the cycloid. The Atlantic Monthly, Volume 05, No. 30, April, 1860 Now, although artists have not shown any admiration for the cycloid, as they have for the ellipse, yet the mathematicians have gazed upon it with great eagerness, and found it rich in intellectual treasures. The Atlantic Monthly, Volume 05, No. 30, April, 1860 A spot on the tire of a wheel running on a straight, level road, will describe in the air a series of peculiar arches, called the cycloid. The Atlantic Monthly, Volume 05, No. 30, April, 1860 |
随便看 |
英语例句辞典收录了117811条英语例句在线翻译词条,基本涵盖了全部常用单词及词组的例句翻译及用法,是英语学习的有利工具。