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
nsists 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. ISO PROJECTIVE GEOMETRY. be a conic with… … Fig. 60.to it and of which the given ellipse is a section. NowVA,-VA = VB,+B,A,-VB-BA=B,A,-BA=A^F-AF=FF^;i.e., VA1— VA = FF^ = constant. V moves, therefore, on an hyperbola having A^ A^ as foci andF, Fi as vertices. THEORY OF CONICS. 151 If, in place of an ellipse, an hyperbola is chosen for K, V…
Geometry, Projective · Geometry, Analytic
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