Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 69
is a rt. Z and .. Z BEC = Z CEA.BC BE BP CA ~ EA ~ PA and B, C, A, P is a harmonic range. X If the point P is within the circle, C is without the circle, and by § 52, the polar of C passes through p. .. by the above proof B, P, A, C is a harmonicrange. k Prove this theorem when the line PAB passes… … AC cuts BD at G, FG cuts AB at L. From the complete quadrilateral FDGCAB, A, L, B, Eand D, K, C, E are harmonic ranges, d (§49.) .*. L and K are points on the polar of E; (§ 55.)that is, GF is the polar of E. Similarly, GE is the polar of F. Hence FE is the polar of G; and the A EFG is…
Geometry · Geometry, Analytic
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
