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Список литературы
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| 2. |
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| 3. |
И. Х. Сабитов, “Решение циклических многоугольников”, Математическое просвeщение. Третья серия, 2010, № 14, 149–154; I. Kh. Sabitov, “Solution of cyclic polygons”, Mathematical Education. The Third Series, 2010, no. 14, 149–154 (Russian) |
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J. L. Coolidge, The Elements of non-Euclidean Geometry, Clarendon Press, Oxford, 1909 |
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В. В. Прасолов, Геометрия Лобачевского, 3-е изд., МЦНМО, М., 2004; V. V. Prasolov, Lobachevsky Geometry, 3-th Edition, MCCME, Moskow., 2004 (Russian) |
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| 8. |
S. Bilinski, “Zur Begründung der elementaren Inhaltslehre in der hyperbolischen Ebene”, Math. Ann., 180 (1969), 256–268 |
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R. Walter, Polygons in hyperbolic geometry 1: Rigidity and inversion of the $n-$inequality, arXiv: 1008.3404v1 [math.MG] |
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R. Walter, Polygons in hyperbolic geometry 2: Maximality of area, arXiv: 1008.3821v1 [math.MG] |
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| 12. |
Ф. В. Петров, “Вписанные четырехугольники и трапеции в абсолютной геометрии”, Математическое просвещение. Третья серия, 2009, № 13, 149–154 ; F. V. Petrov, “Cyclic quadrilaterals and trapezoids in absolute geometry”, Mathematical Education. The Third Series, 2009, no. 13, 149–154 (Russian) |
| 13. |
W. Lienhard, “Cyclic polygons in non-Euclidean geometry”, Elem. math., 66:2 (2011), 74–82 |
| 14. |
W. J. M'Clelland, T. Preston, A Treatise on Spherical Trigonometry with application to Spherical Geometry and Numerous Examples, Part II, Macmillian and Сo., London, 1886 |
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J. E. Valentine, “An analogue of Ptolemy's theorem and its converse in hyperbolic geometry”, Pacific J. Math., 34 (1970), 817–825 |
| 16. |
Ren Guo and Nilgün Sönmez, “Cyclic polygons in classical geometry”, Comptes rendus de l' Academie bulgare des Sciences, 64:2 (2011), 185–194 ; arXiv: 1009.2970v1 [math.MG] |
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W. Dickinson and M. Salmassi, “The Right Right Triangle on the Sphere”, The College Mathematics Journal, 39:1 (2008), 24–33 |
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R. Connelly, “Comments on generalized Heron polynomials and Robbins’ conjectures”, Discrete Mathematics, 309:12 (2009), 4192–4196 |
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M. Fedorchuk and I. Pak, “Rigidity and polynomial invariants of convex polytopes”, Duke Math. J., 129:2 (2005), 371–404 |
| 21. |
A. F. Möbius, “Ueber die Gleichungen, mittelst welcher aus den Seiten eines in einen Kreis zu beschreibenden Vielecks der Halbmesser des Kreises und die Fläche des Vielecks gefunden werden”, Crelle’s Journal, 35 (1828), 5–34 |
| 22. |
D. P. Robbins, “Areas of polygons inscribed in a circle”, Discrete and Computational Geometry, 12 (1994), 223–236 |
| 23. |
В. В. Варфоломеев, “Вписанные многоугольники и многочлены Герона”, Матем. сб., 194:3 (2003), 3–24 ; English translation in: V. V. Varfolomeev, “Inscribed polygons and Heron polynomials”, Sb. Math., 194:3 (2003), 311–331 |
| 24. |
A. A. Gaifullin, Sabitov polynomials for polyhedra in four dimensions http://lanl.arxiv.org/abs/1108.6014v1 |
