 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...volume of P = a X b X co. BD 623. COR. 1. The volume of a cube is the cube of its edge. 624. COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. i 625. SCHOLIUM. When the three dimensions of a rectangular parallelopiped are... | |
 | William James Milne - Geometry - 1899 - 398 pages
...measure, iI ; — = volume of A. M But Hence, volume of A = dxe xf. Therefore, etc. QED 537. Cor. 77;e volume of a rectangular parallelopiped is equal to the product of its base by its altitude. Proposition XI 538. 1. Form any oblique parallelopiped. How does it compare in... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...the ratios — and -2 (Props. VII and VIII), and multiply them together. PROPOSITION X. THEOREM 564. The volume of a rectangular parallelopiped is equal to the product of its three dimensions. Hyp. a, b, c are the dimensions of a rectangular parallelopiped M. To prove volume of M... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...ratios ^ and — (Props. VII and VIII), and multiply them together. PROPOSITION X. THEOREM 564. TJie volume of a rectangular parallelopiped is equal to the product of its three dimensions. Hyp. a, b, c are the dimensions of a rectangular parallelopiped M. To prove volume of M... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...their bases 5 inches by 4 inches, and 10 inches by 8 inches, respectively. PROPOSITION X. THEOREM. 622. The volume of a rectangular parallelopiped is equal to the product of its three dimensions. Let a, b, and c be the three dimensions of the rectangular parallelopiped P, and let the... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...volume of P = a X b X c. QBD P . 623. COR. 1. The volume of a cube is the cube of its edge. 624. COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. 625. SCHOLIUM. When the three dimensions of a rectangular parallelopiped are... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...of this result, see Art. 2. 624. COR. 1. The volume of a cube is the cube of its edge. 625. COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. Ex. 1. Find the number of cubic inches in the volume of a cube whose edge is... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...volume of P = a X b X c. QED 623. COR. 1. The volume of a cube is the cube of its edge. 624. COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. 625. SCHOLIUM. When the three dimensions of a rectangular parallelopiped are... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...ax 6 x e. 633 COROLLARY l. The volume of a cube is equal to the cube of its edge. 634 COROLLARY 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. 635 SCHOLIUM. If the linear unit is an exact divisor of the three dimensions... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...— BOOK VII PROP. X. THEOREM 437. If the unit of volume is the cube whose edge is the linear unit, the volume of a rectangular parallelopiped is equal to the product of its three dimensions. P Given a, b, and c the dimensions of rect. parallelopiped P, and Q the unit of volume... | |
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COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. 
