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 261
the centre of any circleof the system, and let Abe the inverse of anypoint A with regard tothis circle. Then thecircleOAA is orthogonalto the circle of inversion.In other words, such inversion changes any point A into apoint A on the Ideal Line perpendicular to the circle of in-version. Also the… … Fig. 89. Ideal Reflection. 247 with regard to any circle of the system let it take up theposition AS (Fig. 8 7). We have seen that the Ideal Lengthof the segment is unaltered: and it is clear that the twosegments, when produced, meet on the circle of inversion,and make equal angles with it. Also…
Geometry, Non-Euclidean
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