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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 51

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 51
two tangents to the circle, so that thepencils (O-ABCD...) and (O-ABCD . . .) are projective.From this follows that the ranges formed by the points of inter- 38 PROJECTIVE GEOMETRY. section of all tangents with two fixed tangents are equal. Con-versely, the product of these particular ranges is a… … Fig. 13. ducing a curve of the second class are obtained. It will be seenlater on that all curves of the second class are identical with allconies or curves of the second order. § 13. Polar Involution of the Circle. Through a given point A, Fig. 14, draw any ray intersectinga given circle in two…

Geometry, Projective · Geometry, Analytic

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