Smart, Edward Howard · London : Macmillian and Co. · leaf 95
osable. But the latter pencil is harmonic; .. so is theother. Cor. The poles of the rays of a harmonic pencil forma harmonic range. The theorem of this article is a particular case of a moregeneral one. (See Chap. XIV. § 1.) § 9. The fundamental Harmonic Property of Poleand Polar. Any straight line… … Then (§ 2) P and V are inverse points with respect to thecircle. Therefore any circle through them cuts the gi\en circleorthogonally. (Chap. V. § 3.) Consider the circle on PQ as diameter. Since it passes through V it cuts the circle KRK ortho-gonally. Let O be the middle point of PQ. 68 PROJECTIVE…
Geometry, Projective
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