Smart, Edward Howard · London : Macmillian and Co. · leaf 85
he circles. Ex. 2. If each member of one set of circles cuts each member ofanother set orthogonally, the two sets are each coaxal, one having realand the other imaginary limiting points. Ex. 3. Prove that a common tangent to any two circles of thesystem subtends a right angle at either limiting… … Fig. 27. Let X be as before, TM perpendicular to CC, O the middlepoint of CC. 58 PROJECTIVE GEOMETRY Then TP2 - TP2 - CT2 - CP^ - (CT2 - CP2) = CT--CT2-(CP2-CP2)= CT2 - CT2 - (CX2 - CX2) (§ 14)-2CC.OM-2CC.OX= 2CC.XM= 2CC. TN. Cor. 1. If T be on a circle, centre C, coaxal with theother two,…
Geometry, Projective
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