References
Emil Artin, Geometric algebra (New York, 1957).
F. P. Backer, L’extension en géométrie cayleyenne et en géométrie anallagmatique de la configuration de Morley-Petersen, Acad. Roy. Belg. Bull. Cl. Sci (5),45 (1959) 396–401.
F. P. Backes, Quelques propriétés relatives à une certaine configuration de vingt droites. Acad. Roy. Belg. Bull. Cl. Sci. (5),45 (1960), 1–27.
H. F. Baker, Principles of geometry, vol. 2 (Cambridge 1930).
H. F. Baker, Principles of geometry, vol. 3 (Cambridge 1931).
Walter Benz, Über Möbiusebene, Jhber. D. M. V.63 (1960), 1–27.
Maxime Bôcher, The infinite regions of various geometries. Bull. Amer. Math. Soc.20 (1914) 185–200.
J. L. Coolidce, A treatise on the circle and the sphere (Oxford 1916).
J. L. Coolidge, The geometry of the complex domain (Oxford 1924).
H. S. M. Coxeter, Regular honeycombs in hyperbolic space, Proc. Internat. Congress of Mathematicians, Amsterdam, 1954, Vol. III, pp. 155–169.
H. S. M. Coxeter, The real projective plane (Cambridge 1961).
H. S. M. Coxeter, Non-Euclidean geometry (Toronto 1965).
H. S. M. Coxeter, Regular polytopes (New York 1963).
H. S. M. Coxeter, Unvergängliche Geometrie (Basel 1964), Translation of Introduction to Geometry (New York 1961).
H. S. M. Coxeter, Projective Geometry (New York 1964).
P. Dembowski, Inversive planes of even order, Bull. Amer. Math. Soc.69 (1963) 850–854.
Patrick Du Val, Homographies quaternions and rotations (Oxford 1964).
H. G. Forder, The calculus of extension (Cambridge 1941).
A. J. Hoffman, On the foundations of inversive geometry, Trans. Amer. Math. Soc.,71 (1951) 218–242.
B. Kerékjártó, Sur le caractère topologique du groupe homographe de la sphère, Acta Math.74 (1941) 311–341.
Felix Klein, Vorlesungen über nicht-Euklidische Geometrie (Berlin 1928).
Heinrich Liebmann, Nichteuklidische Geometrie (Leipzig 1905).
B. Petkantschin, Axiomatischer Aufbau der zweidimensionalen Möbiusschen Geometrie, Ann. Univ. Sofia. Fac. Sci. Livre1, Math. Phys. 36 (1940) 219–325.
Mario Pieri, Nuovi principii di geometria delle inversione, Giornale di Mat. (3),49 (1911), 49–96;50 (1912) 106–140.
Henri Poincaré, Wissenschaft und Hypothese (Leipzig 1906).
A. A. Robb, Geometry of time and space (Cambridge 1936).
Ludwig Schläfli, Über eine Funktion von drei Winkeln, Ges. Math. Abh.2 (Basel 1935).
Hans Schwerdtfeger, Geometry of complex numbers (Toronto 1962).
D. M. Y. Sommerville, The elements of non-Euclidean geometry (London 1914; New York 1958).
Oswald Veblen andJ. W. Young, Projective geometry, vol.2 (Boston 1918).
B. L. Van der Waerden undL. J. Smid, Eine Axiomatik der Kreisgeometrie und der Laguerregeometrie, Math. Ann.110 (1935) 753–776.
Hermann Weyl, Gruppentheorie und Quantenmechanik (Liepzig 1928).
A. N. Whitehead, The axioms of descriptive geometry (Cambridge 1914).
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ToEmanuel Sperner for his sixtieth birthday
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Coxeter, H.S.M. The inversive plane and hyperbolic space. Abh.Math.Semin.Univ.Hambg. 29, 217–242 (1966). https://doi.org/10.1007/BF03016050
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DOI: https://doi.org/10.1007/BF03016050