| 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... | |
| 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... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...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...lateral edge by the perimeter of a right section. Let CF be a right section of the prism AB. The lateral edges are all equal. (?) Let I denote the lateral... | |
| 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'. We are to prove lateral area of prism... | |
| 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... | |
| 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, and KLMNP a... | |
| William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...Corollary. Any section of a prism made by a plane parallel to the base is equal to the base. PROPOSITION II. 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. Corollary. The lateral area of a right... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...remains, and taking FI' from the same solid, the oblique prism AI remains. Proposition 4. Theorem. 591. The lateral area of a prism is equal to the product of the perimeter of a right section by a lateral edge. B Hyp. Let FGHIK bo a rt. section, and AA' a lateral... | |
| Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...11. The lateral faces of a regular frustum are isosceles trapezaids. PROPOSITION II. THEOREM. > 149. The lateral area of a prism is equal to the product...lateral edge by the perimeter of a right section. Notation. Let K be a prism with the right section G (whose perimeter is p), lateral edge e, and lateral... | |
| Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...11. The lateral faces of a regular frustum are isosceles trapezoids. PROPOSITION II. THEOREM. 149. The lateral area of a prism is equal to the product of a lateral edj£e by the perimeter of a rijht section. Notation. Let K be a prism with the right section G (whose... | |
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