Geodesic
The Inversive Distance Between Two Circles
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1149-1152

Voir la notice de l'article provenant de la source Cambridge University Press

H. S. M. Coxeter (3) has recently studied the correspondence between two geometries the isomorphism of which was well known, but to which he was able to add some remarkable consequences. The two geometries are the inversive geometry of a plane E (the Euclidean plane completed with a single point at infinity or, what is the same thing, the plane of complex numbers to which ∞ is added) on the one hand, and the hyperbolic geometry of three-dimensional space S. 
Bottema, O. The Inversive Distance Between Two Circles. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1149-1152. doi: 10.4153/CJM-1967-104-2
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[1] 1. Casey, J., A sequel to the first six books of the elements of Euclid, 5th ed. (Dublin and London, 1888), pp. 101–105. Google Scholar

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[5] 5. Johnson, R. A., Advanced Euclidean geometry (New York, 1960). p. 99. Google Scholar

[6] 6.F. and Morley, F. V., Inversive geometry (London, 1933). Google Scholar

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