Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SEMR_2016_13_a50, author = {A. V. Kostin and N. N. Kostina}, title = {An interpretation of {Casey{\textquoteright}s} theorem and of its hyperbolic analogue}, journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a}, pages = {242--251}, publisher = {mathdoc}, volume = {13}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a50/} }
TY - JOUR AU - A. V. Kostin AU - N. N. Kostina TI - An interpretation of Casey’s theorem and of its hyperbolic analogue JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2016 SP - 242 EP - 251 VL - 13 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2016_13_a50/ LA - ru ID - SEMR_2016_13_a50 ER -
A. V. Kostin; N. N. Kostina. An interpretation of Casey’s theorem and of its hyperbolic analogue. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 242-251. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a50/
[1] T. Kubota, “On the extended Ptolemy's theorem in hyperbolic geometry”, Science reports of the Tohoku University. Ser. 1: Physics, Chemistry, astronomy, 2 (1912), 131–156
[2] P. A. Shirokov, “Etudes on the Lobachevskii geometry”, Izvestia Fiziko-matematicheskogo obschestva pri KGU, seria 2, 24:1 (1924), 26–32
[3] P. A. Shirokov, Selected papers on the Lobachevskii geometry, Izdatelstvo Kazanskogo Universiteta, Kazan, 1966
[4] J. Casey, A seqyel to the first six books of the Elements of Euclid, containing an easy introduction to modern geometry, with numerous examples, 5th. ed., Hodges, Figgis and Co., Dublin, 1888
[5] N. V. Abrosimov, L. A. Mikaiylova, “Casey's theorem in hyperbolic geometry”, Siberian Electronic Mathematical Reports, 12 (2015), 354–360
[6] I. M. Yaglom, “Somplex numbers and their application to the geometry”, Matematicheskoe prosveschenie, 6 (1961), 60–106
[7] I. M. Yaglom, Geometric transformations, v. II, M., 1956
[8] A. M. Mikenberg, The Laguerre geometry and its analogue, Dissertacii kand. f.-m. nauk, Kazan, 1994
[9] Z. A. Skopets, I. M. Yaglom, Laguerre transformations of the Lobachevskii plane and Möbius transformations of a dual variable. Problems of the differential and non-Euclidean geometries, Izdatelstvo MGPI, M., 1965
[10] B. A. Rosenfeld, Non-Euclidean spaces, Nauka, M., 1969