Selected propositions in geometrical constructions and applications of algebra to geometry. Being a key to the appendix of Davies' Legendre (1875)
Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York, Chicago [etc.] A.S. Barnes & company · leaf 38
SB. PROPOSITIONS FROM LEGENDRE. 31 Draw PS, cutting AC and AB in Q and R; also draw AP andAS. The angles ASR and RAS are equal be-cause they are measured by halves of theequal arcs AP and SB; hence, AR = RS.In like manner it may be shown that AQ —PQ. In the triangle AQR, the angle ARQis measured by… … Prop. XLIV.—Find a point within a triangle, such that the anglesformed by drawing lines from it to the three vertices of the triangle,shall be equal. Solution.—Let ABD be the given triangle. On AB constructan arc that will contain an angle equal tofour-thirds of a right angle; on BD con-struct…
Geometry
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
