ABOUT A TRAPEZE OF THE TYPE Hee(I) ON A HYPERBOLIC PLANE OF POSITIVE CURVATURE
LYUDMILA ROMAKINA *
Department of Geometry, Saratov State University, 83 Astrakhanskaya Street, 410012 Saratov, Russia.
*Author to whom correspondence should be addressed.
Abstract
The geometry of the hyperbolic plane Ĥ of positive curvature can be realized on the ideal region of the Lobachevskii plane. The plane Ĥ is the projective model of the de Sitter plane. On the plane Ĥ there are 12 types of hyperbolic trapezes. We will prove metric formulae for a trapeze of the type Hee(I) with two elleptic edges.
Keywords: Hyperbolic plane Ĥ of positive curvature,, the projective model of the de Sitter plane, hyperbolic trapeze