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On infinite polygons of the Lobachevsky plane


Two theorems about properties of infinite polygons on the Lobachevsky plane are proved.

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  1. 1.

    A. D. Alexandrov, “On Lobachevsky geometry,” Math. School, 2, 2–7 (1993).

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  2. 2.

    S. B. Kadomtsev, Lobachevsky Geometry and Physics [in Russian], Znanie, Moscow (1984).

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  3. 3.

    S. Gindinkin, “Magic world of H. Poincaré,” Kvant, 3, 9–17 (1976).

    Google Scholar 

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Translated from Fundamental’naya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 11, No. 1, Geometry, 2005.

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Kaidasov, Z. On infinite polygons of the Lobachevsky plane. J Math Sci 141, 1087–1090 (2007).

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  • Orthogonal Projection
  • Constant Distance
  • Line Move
  • Common Endpoint
  • Boundary Circle