Geodesic
On The Pseudo-Euclidean Geometry Due to G. Hessenberg
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1218-1232

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

G. Hessenberg (2) showed that euclidean plane geometry can be realized on the surface of the sphere without assuming the parallel axiom. This geometry will be called the pseudo-euclidean geometry due to G. Hessenberg. In the present paper we give a slightly different treatment, which is perhaps simpler than that of Hessenberg and which has a greater transparency. 
Szász, Paul. On The Pseudo-Euclidean Geometry Due to G. Hessenberg. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1218-1232. doi: 10.4153/CJM-1967-111-5
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