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 94
rojection or perspective. Theyinclude evidently the laws of affinity as special cases (infinitepoint of concurrence, plane intersections of triangular prisms,orthographic and generally parallel projections). 2. Theorem.—The centers of homology of three homologoustriangles with the same axis of… … Fig. 31. seen that the lines AXBX, A2B2, A3B3 are concurrent at 7-. Hencethe intersections of their corresponding sides are collinear; butthese points, Vly V2, V3, are the centers of homology of the giventhree triangles, q.e.d. Corollary.—The three triangles AXA2A3, BXB2B3, CXC2CZ 82 PROJECTIVE…
Geometry, Projective · Geometry, Analytic
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