 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...symmetrical prisms, and of symmetrically similar prisms. AREA OF THE SURFACE. 682. Theorem. — The area of the lateral surface of a prism is equal to the product^ of one of the lateral edges by the perimeter of a section, made by a plane perpendicular to those edges.... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...symmetrical prisms, and of symmetrically similar prisms. AREA OF THE 8URFACE. 683. Theorem — The area of the lateral surface of a prism is equal to the product of one of the lateral edge& by the perimeter of a section, made by a plane perpendicular to those edges.... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 pages
...of which 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
...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 - 1872 - 382 pages
...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... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...symmetrical prisms, and of symmetrically similar prisms. AREA OF THE SURFACE. 682. Theorem. — The area of the lateral surface of a prism is equal to the product of one of the lateral edges by the perimeter -of a section, made by a plane perpendicular to those edges.... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1873 - 362 pages
...Cylinder ? 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
...sections parallel to the bases. (?) 431. Proposition III.— Theorem. The lateral area of a cylinder is equal to the product of the perimeter of a right section by an element. -JT Let I denote the lateral area of the cylinder AG ; p, the perimeter of a right section... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...are the bases of the cylinder A С'. PROPOSITION XXIX. THEOREM. 619. 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. EL, Let AB С DE be the base, and A A' any element of... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...perimeter of its right section by p. Then s = p XA A', § 524 (ihe lateral area of a prism is equal to Ihr, product of the perimeter of a right section by a lateral edge). Now let the number of lateral faces of the inscribed prism be indefinitely increased, the new edges... | |
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The lateral area of a prism is equal to the product of the perimeter of a right section and a lateral edge. 
