Non-Euclidean geometry; a critical and historical study of its development (1912)
Bonola, Roberto, 1874-1911, Carslaw, H. S. (Horatio Scott), 1870-1954 · LaSalle, Ill. : Open Court Publishing Co. · leaf 267
have now to consider in what way it will be properto define Parallel Ideal Lines. Let AàI be the Ideal Line through A, perpendicular tothe Ideal Line BC; in other words, the circle of the systempassing through A, A\ and orthogonal to the circle through£, B, C and C (cf Fig. 92). 2^2 Appendix V.… … Fig. 92. circle £C at the points [/, V, where it meets the fundamentalcircle, are Ideal Lines of the system. They separate thelines of the pencil of Ideal Lines through A, which cut theIdeal Line -BC, from those which do not cut that line. Allthe lines in the angle q), shaded in the figure, do not…
Geometry, Non-Euclidean
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