 The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD...  Solid Geometry - Page 319by Claude Irwin Palmer - 1918 - 177 pagesFull view - About this book
 | Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 pages
...AB is the altitude. 423. By Geometry, there may be established the following 1. The CONVEX SURFACE of a prism is equal to the product of the perimeter of the base by the altitude. -2. The CONVEX SURFACE of a cylinder is equal to the product of the circumference... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...prism, made by a plane parallel to the base, is equal to the base. PROPOSITION II.— THEOREM. 16. The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD' be a prism, and GHIKL a right section of it ; then, the area... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...regular polygons inscribed in a circle. PROPOSITION II— THEOREM. 8. The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element of the surface. Let AB CDEF be the base and AA ' any •_ element of... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...a prism, made by a plane parallel to the base, is equal to the base. PROPOSITION II.—THEOREM. 16. The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD' be a prism, and GHIKL a right section of it; then, the area... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1873 - 362 pages
...? The Altitude ? 'D 423. By Geometry, there may be established the following 1. The CONVEX SURFACE of a prism is equal to the product of the perimeter of the base by the altitude. 2. The CONVEX SURFACE of a cylinder is equal to (he product of the circumference... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...Corollary. Any section of a prism parallel to the base is equal to the lose. (?) 379. Proposition II. — Theorem. The lateral area of a prism is equal to the product of a lateral edge by the perimeter of a right section. Let CF be a right section of the prism AB. The... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...lateral area of the prism by *, and the perimeter of its right section by p. Then s = p XA A', ? 524 (the lateral area of a prism is equal to the product of the perimeter of a right section by a lateral edge). Now lot the number of lateral faces of the inscribed prism be indefinitely increased,... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...base is equal to the base ; and all right sections of a prism are equal. PROPOSITION II. THEOREM. 524. The lateral area of a prism is equal to the product of a lateral edge by the perimeter of the right section. Let GHIKL be a right section of the prism AD'.... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...prism whose homologous edge ab — 5 inches ? IX. Theorem. The lateral surface of any prism (cylinder) is equal to the product of the perimeter of a right section by a lateral edge. HYPOTH. abcde is a right section, and A A', a lateral edge, of the prism ABCDE-A'.... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...pyramid is the distance from the vertex to the middle point of any edge of the base. THEOREM I. 841. The lateral area of a prism is equal to the product of a lateral edge into the perimeter of a right section. Proof. Let ABRS be any lateral face of a prism,... | |
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