Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 178
the surface of the Konedescribed l)y the arc BCD; hence the sur-face of the zone is equal to EH x circ, OA. Scholium 2. When the zone has but onebase, as the zone described by the arc ABCD, its surface willstill be equal to the altitude AE multiplied by Uie circumferenceof a great circle. SchoUum… … PROPOSITION XI. LEMMA. If a triangle and a rectangley havivg the same hase and the samealtitude^turn together about the common base^ the solid describedtry the triangle will be a third of the cylinder described by therectangle. Let ACB be the triangle, and BE the rectangle. On the axis, let fall…
Trigonometry · Geometry
Internet Archive · Wellesley College Library · Public Domain Mark 1.0. Free to use for anything.
