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 159
A and i?,and prolong AB to E. Then,since AB bisects the chordCD at right angles (b. iil, p. 11);it also bisects the arcs atthe points F and E (b. hi., p.6). Draw CE and DE whichwill be equal to each other(b. III., P. 4); also CF and DF. Bisect the arcs CE^ ED^and also the arcs CF^ FD^ anddraw… … * The arc considered in this demonstration is the one wliich is less thiiusemicircle. BOOK Y. 155 EC plus ED is greater tlian CF plus ED (b. [., p. 8):hence, the half, CE is greater than the half, CE. If now,with (7 as a centre, and CE as a radius, we describe anarc EIT^ the chord CE being greater…
Geometry · Trigonometry
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