| 单词 | parallelepiped |
| 例句 | Then these vectors form three edges of a parallelepiped, a three-dimensional prism with six faces that are each parallelograms, as shown in Figure 2.59. Calculus, Volume 3 2016-03-30T00:00:00Z The 3 x 3 x 3 box can also be decomposed into three vertical 3 x 3 x 1 parallelepipeds, each parallel to a vertical face of the box. For Math Fans: Some Puzzles from Game of Life Creator John Conway 2021-04-28T04:00:00Z The opposite lateral faces of a parallelepiped are congruent and parallel. The Teaching of Geometry 2011-10-12T02:00:52.133Z Parallelepipeds.—The rest of the book is devoted to the study of the parallelepiped. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Archimedes proves that the volume of the solid so cut off is one sixth part of the volume of the parallelepiped. Archimedes Men of Science 2011-03-13T03:00:23.660Z The volume of the parallelepiped is 0 units3, so one of the dimensions must be zero. Calculus, Volume 3 2016-03-30T00:00:00Z Both the blocks and the box are typically rectangular parallelepipeds. For Math Fans: Some Puzzles from Game of Life Creator John Conway 2021-04-28T04:00:00Z The same may be said for the proposition about the diagonal plane of a parallelepiped. The Teaching of Geometry 2011-10-12T02:00:52.133Z Euclid calls this solid henceforth a parallelepiped, though he never defines the word. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The dwellings consist of roomy skin tents, which enclose a sleeping chamber of the form of a parallelepiped surrounded by warm well-prepared reindeer skins, and lighted and warmed by one or more train-oil lamps. The Voyage of the Vega round Asia and Europe, Volume I and Volume II "A board which has the shape of a parallelepiped." Note-Book of Anton Chekhov Considering the perpendicular vertical face produces a third decomposition of the box into three 3 x 3 x 1 parallelepipeds. For Math Fans: Some Puzzles from Game of Life Creator John Conway 2021-04-28T04:00:00Z Two rectangular parallelepipeds are to each other as the products of their three dimensions. The Teaching of Geometry 2011-10-12T02:00:52.133Z Solid parallelepipeds, which are upon equal bases, and of the same altitude, are equal to one another. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z If a wooden one is made, it is advisable to take an oblique parallelepiped and, by properly sawing it, to transform it into a rectangular one instead of using three different solids. The Teaching of Geometry 2011-10-12T02:00:52.133Z The mensuration of the volume of the prism, including the rectangular parallelepiped and cube, was known to the ancients. The Teaching of Geometry 2011-10-12T02:00:52.133Z We find, however, in the papyrus of Ahmes, directions for the measuring of bins, and the Egyptian builders, long before his time, must have known the mensuration of the rectangular parallelepiped. The Teaching of Geometry 2011-10-12T02:00:52.133Z This leads at once to the corollary that the volume of a rectangular parallelepiped equals the product of its three dimensions, the fundamental law in the mensuration of all solids. The Teaching of Geometry 2011-10-12T02:00:52.133Z If a solid parallelepiped be cut by a plane passing through the diagonals of two of the opposite planes, it shall be cut in two equal parts. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Similar solid parallelepipeds are to one another in the triplicate ratio of their homologous sides. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The bases and altitudes of equal solid parallelepipeds are reciprocally proportional; and if the bases and altitudes be reciprocally proportional, the solid parallelepipeds are equal. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Let V be its volume, V′ that of another rectangular parallelepiped which has the edges a′, b, c, hence the same base as the first. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z It is preceded by the proposition asserting that rectangular parallelepipeds having congruent bases are proportional to their altitudes. The Teaching of Geometry 2011-10-12T02:00:52.133Z Solid parallelepipeds, which have the same altitude, are to one another as their bases; and Prop. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z But a triangular prism is equal in volume to a parallelepiped which has the same base and altitude. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The starting-point is the “rectangular” parallelepiped, which has every edge perpendicular to the planes it meets, and which takes the place of the rectangle in the plane. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The volume of any parallelepiped, or of any triangular prism, is measured by the product of base and altitude. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The volume of any parallelepiped is equal to the product of its base by its altitude. The Teaching of Geometry 2011-10-12T02:00:52.133Z A rectangular parallelepiped has, as a rule, the three edges unequal, which meet at a point. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z In the last part of Book XI. we have learnt how to compare the volumes of parallelepipeds and of prisms. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z |
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