Journals / International Electronic Journal of Geometry / 2017 / Cilt: 10 - Sayı: 2

Regular and Equiangular Polygons of a Hyperbolic Plane of Positive Curvature

Pages
20–31
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
🔖

Cite This Article

ROMAKİNA, L. N. (2022). Regular and Equiangular Polygons of a Hyperbolic Plane of Positive Curvature. International Electronic Journal of Geometry, Cilt: 10 - Sayı: 2, 20–31. https://ajindex.com/articles/539679

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (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