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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. 20b. COLLIN RATION. 53 C. Affinity.^—By this term we designate a perspectivewhose center is at an infinite distance. All rays through C areparallel and intersect the axis of collineation 5 at a constantangle. To prove this, draw through every projecting… … Fig. 2Iff. PQ the triangles PQP are similar, i.e., ^^= const.; furthermore, for every plane the lines PQ and PQ include constant angleswith s. Hence, after revolving iz down into rJ, Fig. 21&, andconnecting again P with P, APQL^consi., ZPQL = const., remains parallel to some direction cutting 5…

Geometry, Projective · Geometry, Analytic

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