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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 183

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 183
Fig. 72. the first case there are two places on the conic at which the originaland the final ray make a given angle. In the second case there areno such places on the circle, or else an infinite number. In this )<f>=90 … Fig. 73. case the angle <f> depends only upon the angles between succeedingreflecting lines whose orders in this succession are odd.3. Applications.—Let n = 2, then <£ = 7r—2^. To make <£=—, we must choose 2 450. This case is illus- THEORY OF CONICS. 171 trated in Fig. 72 and is…

Geometry, Projective · Geometry, Analytic

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