 | Webster Wells - Geometry - 1899 - 450 pages
...dimensions of the other, they are to each other as their third dimensions. PROP. VIII. THEOREM. 489. Two rectangular parallelopipeds having equal altitudes are to each other as their bases. Given P and Q rect. parallelopipeds, with the same altitude c, and the dimensions of the bases a, b,... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...dimensions of the other, they are to each other us their third dimensions. PROP. VIII. THEOREM. 489. Two rectangular parallelopipeds having equal altitudes are to each other as their bases. PQ Given P and Q rect. parallelopipeds, with the same altitude c, and the dimensions of the bases a,... | |
 | Webster Wells - Geometry - 1899 - 196 pages
...dimensions of the other, they are to each other as their third dimensions. PEOP. VIII. THEOREM. 489. Two rectangular parallelopipeds having equal altitudes are to each other as their buses. Given P and Q rect. parallelopipeds, with the same altitude c, and the dimensions of the bases... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...parallelopiped are the three edges that meet at the same vertex. SOLID GEOMETRY PROPOSITION VIII. THEOREM 561. Two rectangular parallelopipeds having equal altitudes are to each other as their bases. Hyp. a, b, c and a, b', c' are the three dimensions of rectangular parallelopipeds M and N, respectively... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...rectangular parallelopiped are the three edges that meet at the same vertex. PROPOSITION VIII. THEOREM 561. Two rectangular parallelopipeds having equal altitudes are to each other as their bases. N Hyp. a, b, c and a, b', c ' are the three dimensions of rectangular parallelopipeds M and N, respectively;... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...parallelopiped which meet at a common vertex are called its dimensions. PROPOSITION VIII. THEOREM. 619. Two rectangular parallelopipeds having equal altitudes are to each other as their bases. Let a, b, c, and a', b', c, be the three dimensions, respectively, of the two rectangular parallelopipeds P and... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...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 cube U be the unit of volume. Proof. To prove that the volume of P = a X b X c. P a X b... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...altitude of the first is c ft. What is the altitude of the second ? PROPOSITION VIII. THEOREM 928. Two rectangular parallelopipeds having equal altitudes are to each other as their bases. Q a' Let P and Q be two rectangular parallelopipeds having the same altitude, c. P axb To Prove Q a'... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...altitude of the first is c ft. What is the altitude of the second ? PROPOSITION VIII. THEOREM 928. Tivo rectangular parallelopipeds having equal altitudes are to each other as their bases. Q Let P and Q be two rectangular parallelopipeds having the same altitude, c. P _ axb Q~ a' x b' To... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...common vertex are called its dimensions. BOOK VII. SOLID GEOMETRY. PROPOSITION VIII. THEOREM. 619. Two rectangular parallelopipeds having equal altitudes are to each other as their bases. Let a, b, c, and a', b', c, be the three dimensions, respectively, of the two rectangular parallelopipeds P and... | |
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Two rectangular parallelopipeds having equal altitudes are to each other as their bases. Let a, b and c... 
