Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 68
ed in a circle, and a || to ACthrough the pole of AB with respect to the circle meetsBC at D. Show that AD = CD. 55. Any straight line which passes through afixed point is cut harmonically by the point, anycircle, and the polar of the point with respect tothe circle. P is the fixed point, O the… … Join BO, OA, BE, EA and produce BE to F.By § 51, OP . OE = OB2, and .. OP:OB = OB:OE;also the Z BOE is common to the A POB, BOE; .. these A are similar,and consequently Z OEB - z OBP = Z OAB... the points B, O, E, A are concyclic..*. the Z AEP = Z OBA = Z OEB = Z FEP, and EPbisects the exterior…
Geometry · Geometry, Analytic
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
