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
A^A2A^, B^B2B^, C^C2C^ 82 PROJECTIVE GEOMETRY. have the same axis of perspective; and their centers of homologyare the points a, /5, ;-. Hence the centers of homology of thesetriangles lie on the axis of homology of the triangles A iBjCi, A2B2C2,A3B3C3, and conversely. 3. Theorem.—The three axes of… … triangles formed by the two systems of lines A^B^, A ^21 ^3-^3and ^iCi, ^2^25 ^^C^. These two triangles C3C1C2 andC3ClC2 are in perspective, the line YA^A2A3 being their axisof homology. Hence the lines joining their corresponding verticesare concurrent at S, which proves the theorem.^ ^ See Caseys…
Geometry, Projective · Geometry, Analytic
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