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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. "
Elements of Geometry - Page 182
by Adrien Marie Legendre - 1841 - 235 pages
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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 ;...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

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,...
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The Elements of Geometry

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...
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The Elements of Geometry

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...
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An Academic Arithmetic for Academies, High and Commercial Schools

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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The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828 - 620 pages
...its altitude. Now it has already been demonstrated, lemma 620, that ' the convex surface of a right prism, is equal to the perimeter of its base multiplied by its altitude.' Admitting, then, our principle, the convex surface of a cylinder will consist of an infinite number...
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