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Advanced geometry for high schools : synthetic and analytical (1919)

McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 64

An illustration from Advanced geometry for high schools : synthetic and analytical, 1919, leaf 64
50. If through a fixed point a line be drawn to cuta given circle and at the points of intersection tangentsbe drawn, the locus of the intersection of the tangentsis called the polar of the fixed point; and the fixedpoint is called the pole of the locus. POLES AND POLARS 51 51. If c is the centre… … Fig. 49. Fig. 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…

Geometry · Geometry, Analytic

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