Smart, Edward Howard · London : Macmillian and Co. · leaf 204
t of QQ.Then CVT is a straight line and CV. CT = CP^, if CT cuts theconic at P. Now QV2 CD2 / = 7^52 (Chap. IX. § 3), CD being the semi- diameter conjugate to CP. Also, since TR is the polar of R, RQRQ is a harmonic range... QV2 = VR. VR = VK. VT, if CT cuts the circle TRR in K.Also PV . VP = CP2 -… … But CK. CT is the square of the tangent from C to thecircumcircle of TRR. .. this tangent is equal to the radius of the director circle,and the two circles cut orthogonally. .*. the circle TRR cuts the director circle orthogonally. § 11. Steiners Theorem. The orthocentre of the triangle formed by…
Geometry, Projective
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