Geodesic
On trapezoid area on the Lobachevskii plane
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 256-260
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper we give a formula for the area of a hyperbolic trapezoid in terms of its side lengths.
Keywords: trapezoid, hyperbolic geometry, area. 
@article{SEMR_2012_9_a13,
     author = {D. Yu. Sokolova},
     title = {On trapezoid area on the {Lobachevskii} plane},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {256--260},
     year = {2012},
     volume = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2012_9_a13/}
}
TY  - JOUR
AU  - D. Yu. Sokolova
TI  - On trapezoid area on the Lobachevskii plane
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2012
SP  - 256
EP  - 260
VL  - 9
UR  - http://geodesic.mathdoc.fr/item/SEMR_2012_9_a13/
LA  - ru
ID  - SEMR_2012_9_a13
ER  - 
%0 Journal Article
%A D. Yu. Sokolova
%T On trapezoid area on the Lobachevskii plane
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2012
%P 256-260
%V 9
%U http://geodesic.mathdoc.fr/item/SEMR_2012_9_a13/
%G ru
%F SEMR_2012_9_a13
D. Yu. Sokolova. On trapezoid area on the Lobachevskii plane. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 256-260. http://geodesic.mathdoc.fr/item/SEMR_2012_9_a13/

[1] Bilinski S., “Zur Begründung der elementaren Inhaltslehre in der hyperbolischen Ebene”, Math. Ann., 180 (1969), 256–268 | DOI | MR | Zbl

[2] Mednykh A. D., “Brahmahupta formula for cyclic quadrilaterals in the hyperbolic plane”, Siberian Electronic Mathematical Reports, 9 (2012), 294–302

[3] Alekseevskii D. V., Vinberg E. B., Solodovnikov A. S., Geometriya prostranstv postoyannoi krivizny, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 29, VINITI, M., 1988

[4] Petrov F. V., “Vpisannye chetyrekhugolniki i trapetsii v absolyutnoi geometrii”, Matemeticheskoe prosveschenie. Tretya seriya, 2009, no. 13, 149–154

[5] Ponarin Ya. P., Elementarnaya geometriya, v. 1, Planimetriya, MTsNMO, M., 2004, 312 pp.

[6] Prasolov V. V., Geometriya Lobachevskogo., 3-e izd., MTsNMO, M., 2004, 88 pp.