| 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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