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 154
ellipse, sothat the ellipse through these points may be sketched free-handor by mans of a curved ruler. In this figure the ellipse appearsmanifestly as the product of two projective pencils with A andE as vertices. In fact, (AMCH) = (KNCJ), since these points are projected by one and the same… … Fig. 54. to the Pascal line LI corresponds the point E on the ellipse. Now (AMCI) = (KNC 00), and as AC=CI, these ratios become 1 AM KN2CM~CN But there is also (AMCI) = (OFxC<x) hence KN OF, cn~cf; 142 PROJECTIVE GEOMETRY. From this it follows that the rays AN and EM of the pencilsthrough A and…
Geometry, Projective · Geometry, Analytic
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