An introductory account of certain modern ideas and methods in plane analytical geometry (1894)
Scott, Charlotte Angas, b. 1858 · London, New York : Macmillan and Co. · leaf 178
segments such as CC, which is entirelycontained by BB; GC and BB are also non-overlapping. 171. Ill the involution AA, BB, let the centre be 0; thiscorresponds to infinity, therefore {AAn()]=\AAli^], CROSS-RATIO, HOMOGRAPHY, AND INVOLUTION. 163 that is, BA AJ)BO AABA Ac Bzc therefore AO_ARBO~BA… … Pi(i. 38. these have one real intersection G, and they have thereforeanother real intersection G] let GG meet the base in 0.By the properties of circles, OA.OA=OG. OG - OB . OB,therefore 0 is the centre of the involution. If now 0 be not between A, A, it is outside the circlesGAA, GBB (Fig. 38,…
Geometry, Analytic -- Plane
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