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An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)

Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 118

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 118
Y,, respectively. Now (OMXY) = (OM1X1Y1) = -i. Inthe central projection r and consequently M and Mx are projected … Fig. 40. to infinity. Hence, designating the projected figure by primes,(0,ooX,F,) = (0,ooX/F/) = -i; i.e., OX^-OY, 0X/ = -0YI\ O is the center of the transformed circle, and the polarinvolution at O becomes the involution of diameters. Now thepolar involution at O is elliptic, parabolic, or…

Geometry, Projective · Geometry, Analytic

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