Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States (1856)
Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York : A.S. Barnes · leaf 215
rough Z, the middle point of AD, drcyw IKLparallel to ^li?, also h\ Dd, parallel to CO. Then, since Al,ID, are equal, Ai, id, are also equal (b. iv., p. 15, c. 2):hence, Kl is equal to \{OA-\-CD). But since the circum-ferences of circles are to each other as their radii (b. v.,P. 13), circ.… … Scholium 1. If from the mid-dle point I and the two extrem-ities A and D^ of a line AD^lying Avliolly on one side of theIhie 06 the perpendiculars DO^IK, and A 0, be drawn, and thenthe line AD be revolved aroundOC, we shall have surf described by AI)=ADxl{circ. OA+circ. CD);that is, =ABxcirc. KL*…
Geometry · Trigonometry
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