 | George Washington Hull - Geometry - 1807 - 408 pages
...ABCD—E= \ABCD X FO. § 463 Hence vol. ABD —E = ABDXFO. § 80. QED PROPOSITION XIV. THEOREM. 465. The volume of any prism is equal to the product of its base and altitude. Given — ABODE— F any prism. To Prove— Vol. ABODE— F= ABODE X AF. Dem. — Through the lateral edge... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...parallelopipedon is equal to the product of its base and altitude (PX, C. 2). PROPOSITION XIV. THEOREM. The volume of any prism is equal to the product of its base and altitude. Let ABCDE-K be any prism : then is its volume equal to the product of its base and altitude. For, through... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...they are to each other as their bases. THEOREM VI. The volume of any parallelopipedon, and in general of any prism, is equal to the product of its base and altitude. the product of its base and altitude. For, each of these volumes is equal to a rectangular parallelopipedon... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...parallelopipedon is equal to the product of its base and altitude (PX, C. 2). PROPOSITION XIV. THEOREM. The volume of any prism is equal to the product of its ' base and altitude. Let ABCDE-K be any prism : then is its volume equal to the product of its base and altitude. For, through... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...parallelopipedon is equal to the product of its base and altitude (PX, C. 2). PROPOSITION XIV. THEOREM. The volume of any prism is equal to the product of its base and altitude. Let ABGDE-E be any prism : then is its volume equal to the product of its base and altitude. For, through... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...triangular prism is equal to the product of its base and altitude (P. 8). PROPOSITION XIV. THEOREM. The volume of any prism is equal to the product of its base and altitude. Let ACDEF-P be any prism. Through any lateral edge, as CQ, pass planes CT and CS, dividing the prism... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...parallelopipedon is equal to the product of its base and altitude (PX, C. 1). PROPOSITION XIV. THEOREM. The volume of any prism is equal to the product of its base and altitude. Let ABCDE-K be any prism : then is its volume equal to the product of its base and altitude. For, through... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...area ABCD. But vol. ABCD-D' = ABCD X H. .-. vol. ABC-B' = £ ABCD XH, = ABC X HQED 612. COR. 1. The volume of any prism is equal to the product of its base and altitude. For, any prism may be divided into triangular prisms by passing planes through a lateral edge AA' and... | |
 | William C. Bartol - Geometry, Solid - 1893 - 106 pages
...etc., of •cylinders, see corresponding definitions under prisms. PROPOSITION XVII. 90. THEOREM. The volume of any prism is equal to the product of its base and altitude. Let the base, altitude, and volume of any prism DO, be represented by B, a, and V, respectively ; then... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...triangular prism is the product of its base ABC and its altitude EZ. QED PROPOSITION XIV. THEOREM 676. The volume of any prism is equal to the product of its...ABCDE and altitude RO. TO PROVE vol. ABCDE-R = ABCDE X KO. The prism may be divided into triangular prisms by planes passed through AR and the diagonally... | |
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The volume of any prism is equal to the product of its base and altitude. GIVEN— the prism ABCDE-R with base ABCDE and altitude RO. 
