 | George Washington Hull - Geometry - 1807 - 408 pages
...§457 §431 Therefore vol. P = axbx c. QED 459. COH. 1. — Since a X b is the area of the base, Then the volume of a rectangular parallelepiped is equal to the product of its base and altitude. 4CO. COR. 2. — The volume of a cube is equal to the cube of its edge. For, if... | |
 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...square whose side is of that length is the measure of area. VOLUME OF PARALLELOPIPEDS. 691. Theorem — The volume of a rectangular parallelepiped is equal to the product of its length, breadth, and altitude. In the measure of the rectangle, the product of one line by another... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...« X 6 X c Q ~ m X n Xp PROPOSITION XI.— THEOREM. 33. The volume of a rectangular parallelopiped is equal to the product of its three dimensions, the...the cube whose edge is the linear unit. Let a, b, c, be the three dimensions of the rectangular parallelopiped P; and let Q be the cube whose edge is... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...together, P o B_ a X b P <~ = \ PROPOSITION XI.—THEOREM. 33. The volume of a rectangular parallelopiped is equal to the product of its three dimensions, the...the cube whose edge is the linear unit. Let a, b, c, be the three dimensions of the rectangular parallelopiped P; and let Q be the cube whose edge is... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...XI.— THEOREM. 33. The volume of a rectangular parallelopiped is equal to the produet of its tliree dimensions, the unit of volume being the cube whose edge is the linear unit. Let a, b, c, be the three dimensions of the rectangular parallelopiped P; and let Q be the cube whose edge is... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...2ffRH, is the area of the convex surface of the cylinder. Flo. 2fl6. PROPOSITION X. 483. Theorem. — The volume of a rectangular parallelepiped is equal to the product of the three edges of one of its triedrah. DEM.— Let H-CBFE be a rectangular parallelopiped. 1st. Suppose... | |
 | William Chauvenet - Geometry - 1875 - 466 pages
...prop \ \ \ s \ X K ! P ! \ \ PR01HXS1TIOX XI.—THEOREM. 33. The volume of a redangulur parallelopiped is equal to the product of its three dimensions, the unit of volume being Ihe, cube whose edge is the linear unit. Let a, b, c, be the three dimensions of the rectangular purallelopiped... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...P* \ Ч Q Ч a С'' \ \ k \ PROPOSITION X. THEOREM. 538. The volume of a rectangular parallelopiped is equal to the product of its three dimensions, the unit of volume being a cube whose edge is the linear unit. . Let a, b, and с be the three dimensions of the rectangular... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...of its edge. 540. COR. II. The product a X b represents the base when с is the altitude ; hence : The volume of a rectangular parallelepiped is equal to the product of its base by its altitude. 541. SCHOLIUM. When the three dimensions of the rectangular parallelopiped are... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...of its edge. 540. -Сок. II. The product a X b represents the base when с is the altitude; hence: The volume of a rectangular parallelepiped is equal to the product of us base by its altitude. 541. SCHOLIUM. When the three dimensions of the rectangular parallelopiped... | |
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The volume of a triangular prism is equal to the product of its base by its altitude. 
