Projective geometry for use in colleges and schools (1911)
Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 114
d to Q so that OY.OQ^A;^ (where k isthe radius of the base-circle). Then Q describes the reciprocal of the given conicwith respect to the circle whose centre is O andradius /.:. But Y lies on the Auxiliary Circle. Hence Q describes the Inverse of the AuxiliaryCircle with respect to the Centre of… … Fig. 42. Let O be the centre of U. By Chap. III. Art. 13 the reciprocal of S withregard to U is a conic S. The reciprocal of the point I lying on S is the lineOl touching S. 94 PROJECTIVE GEOMETRY Similarly, OJ touches S. Hence S is a conic having O as focus, by Chap. II. Art. 16. Second Proof. We…
Geometry, Projective
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