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
Fig. 5. Geometrically, the different cases may be obtained as intersec-tions of a straight line with coaxialsystems 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 always onthe… … 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) ax+b ex—a or (6) exx — a(x+x) — b = o, which shows that an involution is determined by two pairs,…
Geometry, Projective · Geometry, Analytic
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