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A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 131

An illustration from A first course in projective geometry, 1913, leaf 131
espect to aconic form a harmonic pencil. Project § 8, Chap. VI., using the fact that harmonic rangesand pencils project into harmonic ranges and pencils. VIII. Since pole and polar properties are thus transferableto the conic and properties of incidence and tangency areunchanged, we can transfer… … Fig. 51. Through P draw any two chords PQQ, PRR cutting theconic in Q, Q, R, R (Fig. 51). 104 PROJECTIVE GEOMETRY The intersections of QR, QR and of QR, QR give the othertwo diagonal points S, T of the quadrilateral QQRR, and thejoin of these is the required polar. If P is an external point, we…

Geometry, Projective

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