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 266
l to a fixed circle. Let the fundamental circle be of radius k and centre O. Let A, A be any two inverse points, A being insidethe circle. Every such pair of points {A, A), is an IdealPoint {A) of the Ideal Geometry with which we shall 71010 deal. Circles orthogonal to a fixed Circle. 251 If two… … Fig. 91. Hence any two different Ideal Points determine an IdealLine. In the case of the system of circles passing through afixed point O, this point O was excluded from the domainof the Ideal Points. In this system of circles all orthogonalto the fundamental circle, the coincident pairs of points…
Geometry, Non-Euclidean
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