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 276
l Parallel to itthrough a point A. Let AM (Fig. 98) be the perpendicular to the given lineMU^ and A U the parallel. Let the figure be inverted from the point J/, the radius ofinversion being the tangent from M to the fundamental circle. Further Theorems in this Geometry. 261 Then we obtain a new… … amental circle, which is the inverse of the point M.Also the circle A U becomes the circle au^ touching theradius mu at ?/, and cutting via at an angle TT(/). Theseradii, mu, nib, are also Ideal Lines of the system. The Ideal Length of the Segment AM is taken as p. Then (AB \MB\ ^=^^^^ [ax lire) .…
Geometry, Non-Euclidean
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