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A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 210

An illustration from A first course in projective geometry, 1913, leaf 210
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… … Fig. 976. conic Hence the radius of curvature at any point P of a central_ sq. of semi-diameter parallel to the tangent at Pcentral perpendicular on this tangent § 16. The Chord of Curvature throug-h the Focus Sat any Point P of a Parabola is 4SP. Let TQQ be parallel to PP, the focal chord (Fig.…

Geometry, Projective

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