A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 214
inder is the limit towardwhich the perimeters of the inscribed polygons forming the bases of the prismsconstantly approach, and the convex surface of the cylinder is the limit of thelateral surface of the inscribed prism. Therefore, the area of the convex sur-face of the cylinder is HO into the… … Fig. 298. PROPOSITION X. 4:82, Tlieoj^ein.—The volume of a rectangtdar parallelopipedis equal to the product of the three edges of one of its triedrals. 1^ Dem.—Let H-CBFE be a rectangular paral-lelopiped. 1st. Suppose the edges commen-surable, and let BC be 5 units in length, BA4, and BF 7. Now…
Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.