Geodesic
Parallel Lines
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 385-397

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

About a hundred years ago, the author of Through the Looking-Glass wrote another book called Euclid and his Modern Rivals. Were these rivals Lobachevsky and Bolyai, Riemann and Schlafli? No, they were merely the authors of dull school textbooks that would soon be forgotten. The sad truth is that, in 1873, hardly anyone in England knew of the breakthrough that had occurred on the Continent some fifty years before: only Cayley in Cambridge, Clifford in London, and a few students. Even if Cayley or Clifford had visited Oxford and given a lecture there, it is doubtful that he would have succeeded in convincing the conservative Dodgson that Euclid's postulates could be modified to yield two new worlds, surpassing in strangeness the worlds of the two Alice books and yet just as logically consistent as Euclid. 
Coxeter, H. S. M. Parallel Lines. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 385-397. doi: 10.4153/CMB-1978-069-9
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