 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'.  Elements of Geometry - Page 242by Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 pagesFull view - About this book
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...altitude; 24. Cor. 2. The volume of a cube is equal to the cube of its edge. SOLID GEOMETRY. THEOREM V. 25. The volume of any prism is equal to the product of its base by its altitude. For any prism is equivalent to a right parallelopiped, having an equivalent base... | |
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