 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...edge is 10, if the inclination of the lateral edge to the base is 45°. PROPOSITION XII. THEOREM 568. The volume of a triangular prism is equal to the product of its base by its altitude. Hyp. F denotes the volume, B the base, and a the altitude of the triangular prism... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...edge is 10, if the inclination of the lateral edge to the base is 45°. PROPOSITION XII. THEOREM 568. The volume of a triangular prism is equal to the product of its base by its altitude. Hyp. V denotes the volume, B the base, and a the altitude of the triangular prism... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...Therefore, volume of AG = volume of A"G" = area of A"C" x A"E" = area of AC x KE. PROPOSITION XI 506. The volume of a triangular prism is equal to the product of its altitude and the area of its base. Let ABC-DEF be any triangular prism whose altitude is h. It is required... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...R, and B for D, we have § 612 Ax. 1 § 530 §401 § 186 Ax. 1 § 624 PROPOSITION XII. THEOREM. 627. 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... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...triangles each of whose sides is 6 in. Find the volume of the parallelopiped. PROPOSITION XII. THEOREM 942. The volume of a triangular prism is equal to the product of its base and altitude. Let ABC-C' be any triangular prism having ABC for its base and M for its altitude. To Prove vol. ABC-C'... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...625. .-. volume of P=B" X H. Ax. l. Or volume of P=BX H. Ax. 8. QE 9. 0 PROPOSITION XII. THEOREM 627. The volume of a triangular prism is equal to the product of its base by its altitude. Given the triangular prism PQR-M, with its volume denoted by V, area of base... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...H.~] Art. 613. Art. 386. Art. 625. Ax. 1. Ax. 8. Q, £. Do PRISMS 375 PROPOSITION XII. THEOREM 627. The volume of a triangular prism is equal to the product of its base by its altitude. Given the triangular prism PQR-M, with its volume denoted by V, area of base... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...612 Ax. 1 § 530 § 401 § 186 Ax. 1 § 624 BOOK VII. SOLID GEOMETRY. PROPOSITION XII. THEOREM. 627. 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... | |
 | Education - 1912 - 914 pages
...diagonally opposite edges of a parallelepiped divides it into two equal triangular prisms. Corollary I. The volume of a triangular prism is equal to the product of its base and altitude. Corollary 2. The volume of any prism is equal to the product of its base and altitude. Corollary 3.... | |
 | Charles Davison - Geometry, Solid - 1905 - 140 pages
...truncated prism ACQ may be made to coincide with the truncated prism A'C'Q' ; THE POLYHEDRON 53. PROP. 39. The volume of a triangular prism is equal to the product of its base and altitude. Let ABCF be an oblique triangular prism, ABC, DEF its bases, and AN its altitude ; to prove that the... | |
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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'. 
