Regular and Equiangular Polygons of a Hyperbolic Plane of Positive Curvature

Kaynakça (16)

1. Asmus, Im., Duality between hyperbolic and de Sitter geometry. J. Geom. 96 (2009), no. 1-2, 11-40
2. Böhm, J. and Hof, H. C. I., Flächeninhalt verallgemeinerter hyperbolischer Dreiecke. Geom. Dedicata 42 (1992), no. 2, 223-233
3. Cho, Y.-H., Trigonometry in extended hyperbolic space and extended de Sitter space. Bull. Korean Math. Soc. 46 (2009), no. 6, 1099-1133
4. Coxeter, H. S. M., A Geometrical Background for De Sitter’s World. Amer. Math. Mon. 50 (1943), no. 4, 217-228
5. Klein, F., Vorlesungen Über Nicht-Euclidische Geometrie. Verlag Von Julius Springer, Berlin, 1928
6. Klychkova, V. N., Trirectangle of the hyperbolic plane of positive curvature. Coll. of articles of the Int. sci. and pract. conf. "Modern view on the future of science", Tomsk, May 25, 2016. Aeterna. (2016), 14-17. (In Russian
7. Milnor, J. W., Hyperbolic geometry: The first 150 years. Amer. Math. Soc. (N.S.). 6 (1982), no. 1, 9-24
8. Romakina, L. N., Geometry of the hyperbolic plane of positive curvature. P. 1: Trigonometry. Publishing House of the Saratov University, Saratov, 2013. (In Russian
9. Romakina, L. N., Geometry of the hyperbolic plane of positive curvature. P. 2: Transformations and Simple Partitions. Publishing House of the Saratov University, Saratov, 2013. (In Russian
10. Romakina, L. N., The area of a generalized polygon without parabolic edges of a hyperbolic plane of positive curvature. Asian J. Math. Comp. Research. 10 (2016), no. 4, 293-310
11. Romakina, L. N., On the area of a trihedral on a hyperbolic plane of positive curvature. Mat. Tr. 17 (2014), no. 2, 184-206. (In Russian). Translated in Sib. Adv. Math. 25 (2015), no. 2, 138-153
12. Romakina, L. N., The areas of the regular polygons, inscribed in a hypercycle of a hyperbolic plane of positive curvature. Int. Sci. J. «Innovative science». 6 (2016), 20-22. (In Russian
13. Romakina, L. N., Analogs of a formula of Lobachevsky for angle of parallelism on the hyperbolic plane of positive curvature. Sib. Elektron. Mat. Izv. 10 (2013), 393-407. (In Russian
14. Romakina, L. N., Oval lines of a hyperbolic plane of positive curvature. Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform. 12 (2012), no. 3, 37-44. (In Russian
15. Romakina, L. N., Cycles of the hyperbolic plane of positive curvature. Zap. Nauchn. Sem. POMI. 415 (2013), 137-162. (In Russian). Translated in J. Math. Sci. 212 (2016), no. 5, 605-621
16. Romakina, L. N., The theorem of the area of a rectangular trihedral of the