Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 65
60. Through D draw any st. line cutting the circle atA and B. At A, B draw tangents to the circle inter-secting at P. P is a point on the polar of D.Join CD and from P draw PE J_ CD.Join CP cutting AB at F. Join CB.V Zs DEP, DFP are rt. Zs,.*. D, E, F, P are concyclic..*. CE . CD = CF . CP. -… … 52 SYNTHETIC GEOMETRY J>2. If a point P lies on the polar of a point Qwith respect to a circle, then Q lies on the polar of P. P is any point on PM the polar of Q. To show that Q lieson the polar of P. Join CP and drawQN X CP. V Zs at M and N are rt. Zs. .*. Q, N,concyclic. .-. CP . CN = CM . CQ…
Geometry · Geometry, Analytic
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