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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 200

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 200
ransformation. Nothing will be lost in the general result if we assume thatthe points A^, A2, A3 form an equi- A^lateral triangle and that ^4 be itscenter, since by a collineation thisorthogonal quadrangle may be trans-formed into any other quadrangle.Let A^ coincide with the origin, andg .AI with… … Fig. 77. 1=0, l88 PROJECTIVE GEOMETRY. SO that the equation of the degenerate conic is (1) \^•^^-^^rj^+2^rj-^y^■^+■f) = 0. Similarly the equation of the degenerate conic represented by^1^13 and ^42^2 is (2) \/2)-^^-^-r}^-2^y-^2>-^-f} = o. The equations of the polars of the point P (x, y) with…

Geometry, Projective · Geometry, Analytic

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