The contribution of Bolyai, Gauss, and Lobachevskii to the discovery of non-Euclidean geometry (on the~200th anniversary of the birth of J\'anos Bolyai)
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2002), pp. 3-7.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{IVM_2002_11_a0,
     author = {V. V. Vishnevskii},
     title = {The contribution of {Bolyai,} {Gauss,} and {Lobachevskii} to the discovery of {non-Euclidean} geometry (on the~200th anniversary of the birth of {J\'anos} {Bolyai)}},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--7},
     publisher = {mathdoc},
     number = {11},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2002_11_a0/}
}
TY  - JOUR
AU  - V. V. Vishnevskii
TI  - The contribution of Bolyai, Gauss, and Lobachevskii to the discovery of non-Euclidean geometry (on the~200th anniversary of the birth of J\'anos Bolyai)
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2002
SP  - 3
EP  - 7
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2002_11_a0/
LA  - ru
ID  - IVM_2002_11_a0
ER  - 
%0 Journal Article
%A V. V. Vishnevskii
%T The contribution of Bolyai, Gauss, and Lobachevskii to the discovery of non-Euclidean geometry (on the~200th anniversary of the birth of J\'anos Bolyai)
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2002
%P 3-7
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2002_11_a0/
%G ru
%F IVM_2002_11_a0
V. V. Vishnevskii. The contribution of Bolyai, Gauss, and Lobachevskii to the discovery of non-Euclidean geometry (on the~200th anniversary of the birth of J\'anos Bolyai). Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2002), pp. 3-7. http://geodesic.mathdoc.fr/item/IVM_2002_11_a0/

[1] Ob osnovaniyakh geometrii, GITTL, M., 1956, 526 pp.

[2] Bolyai W., Tentamen Juventutem studiosam in elementa Matheseos purae elementaris ac sublimioris, methodo intuitiva, evidentiaque huie propria introducendi; cum appendice triplici, Maros-Vásárhelyini, 1832

[3] Norden A. P., “Gauss i Lobachevskii”, Ist.-matem. issled., 9 (1956), 145–168 | Zbl

[4] Lobachevskii N. I., “O nachalakh geometrii”, Kazanskii vestnik, Ch. 25, kn. II–III, 1829–1830, 178–187; кн. IV; Ч. 27, кн. XI–XII; Ч. 28, кн. III–IV; Ч. 29, кн. VII–VIII

[5] Lobachevskii N. I., “Voobrazhaemaya geometriya”, kn. 1, Uchen. zap. Kazansk. un-ta, 1835, 3–33; “Géométrie imaginaire”, Journal der reine und angew. Math., 17:4, 295–320

[6] Lobachevskii N. I., “Primenenie voobrazhaemoi geometrii k nekotorym integralam”, Uchen. zap. Kazansk. un-ta, 1, 1836, 3–166

[7] Lobachevskii N. I., “Novye nachala geometrii s polnoi teoriei parallelnykh pryamykh”, Uchen. zap. Kazansk. un-ta, III, 1835, 3–48; II, 1836, 3–98; III, 1836, 3–50; 1, 1837, 3–97; 1, 1838, 3–124; III, 3–65

[8] Lobatschewsky N., Geometrische Untersuchungen zur Theorie der Parallellinien, Fincke, Berlin, 1840

[9] Lobachevskii N. I., “Pangeometriya”, kn. 1, Uchen. zap. Kazansk. un-ta, 1855, 1–56

[10] Ryzhik I. M., Gradshtein I. S., Tablitsy integralov, summ, ryadov i proizvedenii, GITTL, M.–L., 1951, 464 pp. | MR

[11] Kagan V. F., Lobachevskii, Izd-vo AN SSSR, M.–L., 1948, 506 pp.

[12] Novye materialy k biografii N. I. Lobachevskogo, Nauchnoe nasledstvo, 12, Nauka, L., 1988, 384 pp. | MR

[13] Vishnevskii V. V., “200-letie N. I. Lobachevskogo, ego itogi i uroki”, Tr. geometrich. semin., 23, Izd-vo Kazansk. un-ta, 1997, 23–32 | MR

[14] Gudkov D. A., N. I. Lobachevskii. Zagadki biografii, Izd-vo Nizhegorodsk. un-ta, 1992, 241 pp. | MR | Zbl

[15] Karimullin A. G., Laptev B. L., Chto chital N. I. Lobachevskii, Izd-vo Kazansk. un-ta, 1979, 127 pp. | Zbl