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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 66

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 66
he perspective becomes central symmetry,Fig. 206. COLLINE ATI ON. 53 C. Affinity.1—By this term we designate a perspectivewhose center is at an infinite distance. All rays through C areparallel and intersect the axis of collineation s at a constantangle. To prove this, draw through every projecting… … Fig. 21a. PQ the triangles PQP are similar, i.e., ^r= const; furthermore, for ever}7 plane the lines PQ and PQ include constant angles with 5. Hence, after revolving iz down into rc, Fig. 21&, and connecting again P with P, ZPQL = const., £PQL = const., PQ ~p?y = const.; hence ZQPL= const.,…

Geometry, Projective · Geometry, Analytic

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