 | George Washington Hull - Geometry - 1807 - 408 pages
...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... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...altitude of the given prism, and the sum of their bases forming the given base. 699. Corollary. — The volume of a triangular prism is equal to the product of one of its lateral edges multiplied by the are'a of a section perpendicular to that edge. VOLUME OF... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...altitude of the given prism, and the sum of their bases forming the given base. 699. Corollary. — The volume of a triangular prism is equal to the product of one of its lateral edges multiplied by the area of a section perpendicular to that edge. VOLUME OF... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...faces by a plane so that tho section shall be a parallelogram. GEOMETRY.— BOOK VII. THEOREMS. 329. The volume of a triangular prism is equal to the product of the area of a lateral face by one-half the perpendicular distance of that face from the opposite edge.... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...faces by a plane so that tho section shall be a parallelogram. GEOMETRY.— BOOK VII. THEOREMS. 329. The volume of a triangular prism is equal to the product of the area of a lateral face by one-half the perpendicular distance of that face from the opposite edge.... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...altitude of the given prism, and the sum of their bases forming the given base. 609. Corollary. — The volume of a triangular prism is equal to the product of one of its lateral edges multiplied by the area of a section perpendicular to that edge. VOLUME OF... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...opposite faces are equal and parallel. 5. The diagonals of every parallelopipedon bisect each other. 6. The volume of a triangular prism is equal to the product of the area of either of its rectangular sides as a base multiplied by half its altitude on that base.... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...opposite faces are equal and parallel. 5. The diagonals of every parallelopipedon bisect each other. 6. The volume of a triangular prism is equal to the product of the area of either of its rectangular sides as a base multiplied by half its altitude on that base.... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...the prism into triangular prisms; these will all have the same altitude as the given prism. Now, each triangular prism is equal to the product of its base and altitude ; hence, their sum is equal to the sum of their bases multiplied by their common altitude, that is,... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...diagonal, surface, and volume. 2. The surface of a cube is s ; find its edge, diagonal, and volume. 3. The volume of a triangular prism is equal to the product of the area of a lateral face by one-half the perpendicular from the opposite edge to that face. II. PYRAMIDS.... | |
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The volume of a triangular prism is equal to the product of its base by its altitude. A~ Let V denote the volume, B the base, and H the altitude of the triangular prism CEA-E'. 
