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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 163
sists in theassumption that if one figure is obtained from another figure by a continuousvariation, then projective properties derived from the first figure also hold for thesecond figure. The principle, however, is rigorous only when proved analytically. IS© PROJECTIVE GEOMETRY. be a conic with… … Fig. 60.to it and of which the given ellipse is a section. NowVAl-VA = VB1+BlA1-VB-BA=BiA1-BA=A1F-AF = FFl;i.e., VA t- VA = FF1 = constant. V moves, therefore, on an hyperbola having A, Ax as foci andFy Fx as vertices. THEORY OF CONICS. 151 If, in place of an ellipse, an hyperbola is chosen for K,…Geometry, Projective · Geometry, Analytic
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