 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...convex surface of the cylinder, and the volume of the prism with the solidity of the cylinder. But the convex surface of the prism is equal to the perimeter of the base multiplied by the altitude (Theo. XX), and its volume is equal to the area of the base multiplied... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...and the area of each rectangle is equal to its base multiplied by its altitude (B. IV., PV) : hence, the sum of these rectangles, or the convex surface of the prism, is equal to, (AB + BC + CD + DE + EA) x AF ; that is, to the perimeter of the base multiplied by the altitude ;... | |
 | Charles Davies - Geometry - 1886 - 352 pages
...distance be J ween the parallel planes which form its bases THEOREM I. The convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude. Let ABCDE—K be a right prism : then will its convex surface be equal to (AB.) BC+CD+DE+EA)xAF. For,... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...Whence by § 195, S = PxE. 704. COROLLARY I. The lateral area of a cylinder of revolution (§ 597) is equal to the perimeter of its base multiplied by its altitude. 705. COROLLARY II. If S denotes the lateral area, H the altitude, and R the radius of the base of a... | |
 | Webster Wells - Geometry - 1886 - 166 pages
...= DE X AA' + EF X AA' + etc. = (DE + EF + etc.) X AA'. 521. COROLLARY. The lateral area of a right prism is equal to the perimeter of its base multiplied by its altitude: PROPOSITION III. THEOREM. 522. Two prisms are equal when the faces including a triedral angle of one... | |
 | Webster Wells - Arithmetic - 1893 - 390 pages
...any text-book on Solid Geometry: 1. The lateral area of a right prism (or rectangular parallelopiped) is equal to the perimeter of its base multiplied by its altitude. 2. The volume of a prism (or rectangular parallelopiped) is equal to the area of its base multiplied... | |
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CD, &c., taken together, make up the perimeter of the prism's base : hence the sum of these rectangles, or the convex surface of the prism, is equal to the perimeter of its base multiplied by its altitude. 
