 | 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'. To BE PROVED. Lateral... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1881 - 368 pages
...Cvlinder ? The Altitude ? 423. By Geometry, there may be established the following 1. The CONVEX SUBFACE of a prism is equal to the product of the perimeter of the base by the altitude. .2. Tiie CONVEX SURFACE of a cylinder is equal to the product of the circumference... | |
 | George Albert Wentworth - Geometry - 1884 - 422 pages
...perimeter of its right section byjo. Then s = p XA A', § 524 (tlie lateral area of a prism is eqnal to the 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... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...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 prism is equal to the product... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...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 edge of the prism AD'. To prove lateral area of... | |
 | William Chauvenet - 1893 - 340 pages
...squares of the three edges which meet at a common vertex. 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 B. Maglathlin - 1894 - 370 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... | |
 | John Macnie - Geometry - 1895 - 386 pages
...similar, (Hyp.) ami T: T'= ' R) : = H2:Il'-= R2:S'2. 674. SCHOLIUM. The lateral. area of any cylinder is equal to the product of the perimeter of a right section of the cylinder by an element of its surface. This may be proved by a method similar to that employed... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...prism is the sum of the areas of its lateral faces. PROPOSITION IV. THEOREM ' 649. The lateral area of a prism is equal to the product of the perimeter of a right section and a lateral edge. GIVEN — the prism AC, of which HGLIK is a right section. To PROVE— its lateral... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...section of a cylinder parallel to the base is equal to the base. 646. 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. 647. Cor. 1. The lateral area of a cylinder of revolution... | |
| |
The lateral area of a prism is equal to the product of the perimeter of a right section and a lateral edge. 
