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 95
es AXA2A3, BXB2B3, CXC2CZ 82 PROJECTIVE GEOMETRY. have the same axis of perspective; and their centers oj homologyare the points a, /?, y. Hence the centers of homology of thesetriangles lie on the axis of homology of the triangles A ^^C^ A2B2C2,A3B3C3, and conversely. 3. Theorem.—The three axes of… … Fig. 32. triangles formed by the two systems of lines AJ3ly A2B2, A3B3and AjCu A2C2, A3C3. These two triangles C3C^C2 andCCC are in perspective, the line VA1A2A3 being their axisof homology. Hence the lines joining their corresponding verticesare concurrent at S, which proves the theorem.1 1 See…
Geometry, Projective · Geometry, Analytic
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