 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...common are to each other as the products of the other two dimensions. PROPOSITION IX. THEOREM. 630. Two rectangular parallelepipeds are to each other as the products of their three dimensions. Given the two rectangular parallelepipeds P and Q having the dimensions a, b, c and a', b', c', respectively.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...as the products of their other two dimensions. PAEALLELEPIPEDS PROPOSITION IX. THEOREM 331 533. Two rectangular parallelepipeds are to each other as the products of their three dimensions. Given two rectangular parallelepipeds, P and P f , and a, &, c, and a', 6 f , c f , their three dimensions... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...other as the products of their other two dimensions. PARALLELEPIPEDS PROPOSITION IX. THEOREM 533. Two rectangular parallelepipeds are to each other as the products of their three dimensions. Given two rectangular parallelepipeds, P and P', and a, ft, c, and a', ft7, c*, their three dimensions... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...parallelepiped may be taken as the altitude, whence § 631 applies. PROPOSITION IX. THEOREM 533. Two rectangular parallelepipeds are to each other as the products of their three dimensions. Given two rectangular parallelepipeds, P and P', and a, b, c, and a', f, cf, their three dimensions... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...of the parallelepiped, and if a, 6, c, are the given dimensions, then v = abc. 690. COROLLARY 1. Two rectangular parallelepipeds are to each other as the products of their three dimensions. 691. COROLLARY 2. Two rectangular parallelepipeds which have one dimension equal are to each other... | |
 | William Betz - Geometry - 1916 - 536 pages
...of the parallelepiped, and if a, 6, c, are the given dimensions, then v = abc. 690. COROLLARY 1. Two rectangular parallelepipeds are to each other as the products of their three dimensions. 691. COROLLARY 2. Two rectangular parallelepipeds which have one dimension equal are to each other... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...673. Theorem. The volume of a cube is equal to the cube of its edge. 674. Theorem. The volumes of two rectangular parallelepipeds are to each other as the products of their three dimensions. V :V = abh:a'b'h'. 675. Theorem. The volumes of two rectangular parallelepipeds having equivalent bases... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...p / / c / / b / / / p' / c 4 / / / { Q ....... , / / 1 C h • - 1 / /' Proposition 255 Theorem Two rectangular parallelepipeds are to each other as the products of their three dimensions. Let the parallelepipeds P and P' have the dimensions a, b, and c and a', b', and c' respectively. Compare... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...rectangular parallelepipeds with two dimensions in common are to each other as their third dimensions. 5. Two rectangular parallelepipeds are to each other as the products of their three dimensions. 6. The volume of any parallelepiped is equal to that of a rectangular parallelepiped of equivalent... | |
 | Education - 1906 - 592 pages
...о о о о о о о о о о о о о UVrWbVbn, - - V>V/l_VSrtMLSVJ О о О о о February 4. Two rectangular parallelepipeds are to each other as the products of their three dimensions. 5. Find the edge of a cube equivalent to a regular tetrahedron whose edge is three inches. 6. The three... | |
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Two rectangular parallelepipeds are to each other as the products of their three dimensions. 
