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
f Ellipse, Hyperbola, Parabola, and their Foci. I. In Fig. 40, just as in Fig. 19, § 15, let .y be the axis, q andr the counter-axes, and C the center of collineation. Assume anycircle K with C as a center and determine the pole O of r with THEORY OF CONICS. 105 respect to K. Draw also the polar… … Fig. 40. to infinity. Hence, designating the projected figure by primes,(0ooZFO = (0ooX/F/) = -i; i.e., 0X = -0Y, OOY/- -0Y^\ O is the center of the transformed circle, and the polarinvolution at O becomes the involution of diameters. Now thepolar involution at O is elhptic, parabolic, or…
Geometry, Projective · Geometry, Analytic
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-397-275.webp)
