单词 | frustum |
例句 | Figure 2.42 A frustum of a cone can approximate a small part of surface area. Calculus, Vol 2 2016-03-30T00:00:00Z A piece of a cone like this is called a frustum of a cone. Calculus, Volume 1 2016-03-30T00:00:00Z A scutoid is more complicated than a prismatoid, which is more complicated than a frusta, which is more complicated than a prism. Voronoi Tessellations and Scutoids Are Everywhere 2019-01-22T05:00:00Z For epithelia on a sphere, surface curvature is the same in all directions, and inverted frusta are expected. A 3D cell shape that enables tube formation 2018-09-09T04:00:00Z “The whole building,” says Smeaton, “consisted of a simple figure, being an elegant frustum of a cone, unbroken by any projecting ornaments, or anything whereon the violence of the storm could lay hold.” The Sea: Its Stirring Story of Adventure, Peril, & Heroism. Volume 2 2012-04-03T02:00:36.237Z Figure 2.44 Calculating the lateral surface area of a frustum of a cone. Calculus, Vol 2 2016-03-30T00:00:00Z Let r1 and r2 be the radii of the wide end and the narrow end of the frustum, respectively, and let l be the slant height of the frustum as shown in the following figure. Calculus, Volume 1 2016-03-30T00:00:00Z A stick of timber is in the shape of the frustum of a square pyramid, the lower base being 22 in. square and the upper 14 in. square. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z It is possible for 3D shapes resembling frusta to form tubes. A 3D cell shape that enables tube formation 2018-09-09T04:00:00Z The perpendicular distance from the base of a figure to the summit, or to the side parallel to the base; as, the altitude of a triangle, pyramid, parallelogram, frustum, etc. Webster's Unabridged Dictionary 2012-03-24T02:00:23.513Z But it is the statement of one-half of a truth, which lives only in its entirety, and of which the Reply gives us only a mangled and bleeding frustum. The Works of Robert G. Ingersoll, Vol. 6 (of 12) Dresden Edition?Discussions 2012-02-11T03:04:02.353Z Figure 6.42 A frustum of a cone can approximate a small part of surface area. Calculus, Volume 1 2016-03-30T00:00:00Z The top of the piston forms the frustum of the cone and the pistons are 110 mm. in length. Aviation Engines Design?Construction?Operation and Repair 2011-12-04T03:00:04.777Z Prisms, frusta and scutoids found in single-cell layered epithelia are discrete classes of shape, but belong in a continuum of cell shape and 3D arrangement. A 3D cell shape that enables tube formation 2018-09-09T04:00:00Z This leads to the corollary concerning the lateral area of the frustum of a regular pyramid. The Teaching of Geometry 2011-10-12T02:00:52.133Z The stand proper rested on a sort of frustum of a cone. Corianton A Nephite Story 2011-04-28T02:00:14.830Z Figure 6.44 Calculating the lateral surface area of a frustum of a cone. Calculus, Volume 1 2016-03-30T00:00:00Z They have the shape of a trapezoid or frustum. Hand-Book of Practical Cookery for Ladies and Professional Cooks 2011-03-23T02:00:22.007Z The term frusta is sometimes applied to them. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 7 "Drama" to "Dublin" It should be noticed that the regular pyramid may be considered as a frustum with the upper base zero, and the proposition as a special case under the corollary. The Teaching of Geometry 2011-10-12T02:00:52.133Z Up the sides were several flights of steps, and at the top of the frustum was standing room for a number of people; but in the stand proper there was room for but one. Corianton A Nephite Story 2011-04-28T02:00:14.830Z Note that the slant height of this frustum is just the length of the line segment used to generate it. Calculus, Volume 1 2016-03-30T00:00:00Z By this time Tidor, the neophyte, had edged his way past the flank of Urim's guards, slipping stealthily from sight behind the frustum. Warrior of the Dawn Passing over another open space, the entrance to the canal was discovered, marked by two low light-houses, in the form of the frustum of a pyramid. Up The Baltic Young America in Norway, Sweden, and Denmark It is also possible, if we choose, to let the upper base of the frustum pass through the vertex and cut the lateral edges above that point, although this is too complicated for most pupils. The Teaching of Geometry 2011-10-12T02:00:52.133Z At the conclusion of every distinct thought in the above prayer, the company of worshippers at the top of the frustum would cry aloud—"Amen, amen!" Corianton A Nephite Story 2011-04-28T02:00:14.830Z A stake or piece of wood formed like the frustum of a cone. The Sailor's Word-Book An Alphabetical Digest of Nautical Terms, including Some More Especially Military and Scientific, but Useful to Seamen; as well as Archaisms of Early Voyagers, etc. Here was a great, high-ceilinged room, well-filled with warriors, citizens, slaves—even a sprinkling of women—all grouped about a low wooden frustum, its four sides consisting of steps. Warrior of the Dawn I knew that a barrel was a pair of cones—that is, truncated cones or frustums—with the bases resting against each other. The Boy Tar The lateral area of a frustum of a cone of revolution is equal to half the sum of the circumferences of its bases multiplied by the slant height. The Teaching of Geometry 2011-10-12T02:00:52.133Z The lodge, therefore, was not a perfect cone, but the frustum of one; and in this it differed from the lodge of the Comanches. The White Chief A Legend of Northern Mexico A very handy engine, consisting of a large wooden male screw turning in a female one, which forms the upper part of a strong wooden box, shaped like the frustum of a pyramid. The Sailor's Word-Book An Alphabetical Digest of Nautical Terms, including Some More Especially Military and Scientific, but Useful to Seamen; as well as Archaisms of Early Voyagers, etc. When they had reached the frustum's base, Urim descended and, in turn, presented various members of his retinue. Warrior of the Dawn Of course, when I was taught how to measure a cone, I was also instructed to do the same with the frustum of one. The Boy Tar If the upper base is equal to the lower base, the frustum becomes a cylinder, and still the proposition remains true. The Teaching of Geometry 2011-10-12T02:00:52.133Z The solids divided in given ratios are the sphere, the pyramid, the cone and a frustum thereof. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield Now, however, the almost universal form of jug in use is a frustum of a cone with a miniature spout. Memories and Studies Reinforces made the gun look like "three frustums of cones joined together, so as the lesser base of the former is always greater than the greatest of the succeeding one." Artillery Through the Ages A Short Illustrated History of Cannon, Emphasizing Types Used in America This gave the base of the hollow cylinder, which would be equal to the frustum of a cone of like altitude; and another multiplication by the length produced the entire cubic content. The Boy Tar Then follows, in most textbooks, a theorem relating to the volume of a frustum. The Teaching of Geometry 2011-10-12T02:00:52.133Z The form of the stand is the frustum of a hexagonal pyramid reversed, about six or eight inches in diameter. The History of Sumatra Containing An Account Of The Government, Laws, Customs And Manners Of The Native Inhabitants The plummet, shaped like the frustum of a cone, and weighing thirty pounds, was thrown out from the side in the line of the vessel's drift. In Clive's Command A Story of the Fight for India The second row of hoops is shrunk on forward of the trunnion hoops for a length of 38 inches to strengthen the gun, and the hoop portion forms three conical frustums. Scientific American Supplement, No. 561, October 2, 1886 For the frustum of a cone: Add together the squares of the diameters of large and small ends; to this add the product of the diameter of the two ends. Burroughs' Encyclopaedia of Astounding Facts and Useful Information, 1889 Some form it regularly; as, asylums, compendiums, craniums, emporiums, encomiums, forums, frustums, lustrums, mausoleums, museums, pendulums, nostrums, rostrums, residuums, vacuums. The Grammar of English Grammars The area of the convex surface of the frustum of a regular pyramid is half the product of the sum of the perimeters of its bases by the altitude of either of its trapezoids. Daddy-Long-Legs I did not see any marks of the frusta of the columns having been joined by iron hooks, as at Palmyra. Travels in Syria and the Holy Land The others amused themselves all around me; I found my delight in the frustum of a pyramid. The Life of the fly; with which are interspersed some chapters of autobiography |
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