Smart, Edward Howard · London : Macmillian and Co. · leaf 209
e in the given direction. Through Qdraw QQT parallel to PK to cut the tangent at P in T. TANGENT AND NORMAL PROPERTIES 181 Then TP2 = TQ.TQ, and Limit (T^^^ = Limit (TQ) = PK,when Q moves up to P. TP2Hence Lt — is the expression required, T being a near point on the tangent at P and TQ drawn in the… … Then, m Figs. 97a and h, PK the required chord of curvaturethrough P jp2 Q\j2 = Lt = Lt , where QV is parallel to TP. TQ PV ^ -p QV2 _ CD^ /upper sign—ellipse \ PV. VP ~ ~CP Vlower „ —hyperbola/where CD is the semi-diameter conjugate to CP. PV CP2 CD2 ^^„ r ^ .X \ ^CD-^ 182 PROJECTIVE GEOMETRY But…
Geometry, Projective
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