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 147
nt B of thearc TN (B. ITT., p. 15). In the same manner it may beshown that 01 passes through (7; and similarly for theother vertices. But since Gil is parallel to AB, and III to BC, thangle GUI = ABC (b. l, p. 2-1); in like manner, IIIK=BCDand so for the other angles: hence, the angles of the… … But AB=BC,therefore GE=1ILFor a like reason,UI= IK^ ko,.; hence,the sides of the circum-scribed polj^gon are allequal; hence, this poly-gon is regular and simi-lar to the inscribedpolygon. Cor. 1. Eeciprocal-ly: if the circumscribed polygon GHIK &c., be given, andthe inscribed one ABC &;c.,…
Geometry · Trigonometry
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