 | Benjamin Greenleaf - Geometry - 1863 - 502 pages
...are equal to the product of its base by its altitude ; and, since the altitude is the same in each f it follows that the sum of all these prisms is equal...bases multiplied by the common altitude. Hence the solid contents of any prism are equal to the product of its base by its altitude. 475. Cor. When any... | |
 | Education - 1863 - 768 pages
...equal to the product of its base by its height. — What must be understood by that enunciation. — The volume of any prism is equal to the product of its base by its height. The volume of a tetrahedron nnd that of any pyramid are measured by the third of the product... | |
 | 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... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...Article 692, to be equivalent to a right prism having the same base and altitude. 698. Corollary — The volume of any prism is equal to the product of its base by its altitude. For any prism is composed of triangular prisms, having the common altitude of the given prism,... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...Article 692, to be equivalent to a right prism having the same base and altitude. 698. Corollary. — The .volume of any prism is equal to the product of its base by its altitude. For any prism is composed of triangular prisms, having the common altitude of the given prism,... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...ABCD-A' is equal to the product of its base AC by its altitude B' O. PROPOSITION XIII.— THEOREM. 38. The volume of any prism is equal to the product of its base by its altitude. 1st. Let ABO-A' be a triangular prism. This prism is equivalent to one-half the parallelopiped... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...11) ; and the polygons LN and QS are mutually equiangular. Also the sides LM, MN, NO, &c. are N 25 i The volume of any prism is equal to the product of its base by its altitude. For any prism is equivalent to a right parallelepiped, having an equivalent base and the... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...ABCD-A' is equal to the product of its base J.Cby its altitude B'O. PROPOSITION XIII.— THEOREM. 38. The volume of any prism is equal to the product of its base by its altitude. 1st. Let ABC-A' be a triangular prism. This prism is equivalent to one-half the parallelopiped... | |
 | Henry Barnard - Military education - 1872 - 988 pages
...equal to the product of its base by its height. — What must be understood by that enunciation. — The volume of any prism is equal to the product of its base by its height. The volume of a tetrahedron and that of any pyramid are measured by the third of the product... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...Article 092, to be equivalent to a right prism having the same base and altitude. 698. Corollary — The volume of any prism is equal to the product of its base by its altitude. For any prism is composed of triangular prisms, having the common altitude of the given prism,... | |
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The volume of any prism is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude of the prism DA'. 
