Smart, Edward Howard · London : Macmillian and Co. · leaf 91
to CN. The polar of the centre. If CO is very small, CN must be POLES AND POLARS 63 very great, since the product of CO and CN is constant. Thepolar of O is then very distant. Ultimately if O coincideswith C, the polar of O becomes the line at infinity in the planeof the circle. Hence the polar of… … Fig. 29. Let CA cut the polar of A in M.Then, since AMBN is cyclic, CM . CA = CB. CN.But CM . CA = square of radius; .*. CB. CN = square of radius;.. AN is the polar of B. §4. Salmons Theorem. The distances of two points from the centre of a circle areproportional to the distances of each from the…
Geometry, Projective
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