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 27
I-- <y )(^ Fig. 5. Geometrically, the different cases may be obtained as intersec-tions of a straight line with coaxial systems of circles. Figs. 4, 14 PROJECTIVE GEOMETRY. 5, and 6 represent hyperbolic, elliptic, and parabolic involutionsrespectively. In the first the points of a pair, XY, are… … Fig. 6. within the distance AB and the other without. Correspondingpoints move in the same direction.. We have seen that an in-volution on a straight line is determined by the transformation (5)(6) X =■ ax-\-h ex—a or -(t; cxx — a(x+ x) — h = o, which shows that an involution is determined by two…
Geometry, Projective · Geometry, Analytic
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