Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 51, No. 1, pp. 111-115 (2010)

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Spherical Quadrangles

Catarina P. Avelino, A. M. d'Azevedo Breda and Altino F. Santos

Department of Mathematics, UTAD, 5001 - 801 Vila Real, Portugal, e-mail: cavelino@utad.pt; Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal, e-mail: ambreda@ua.pt; Department of Mathematics, UTAD, 5001 - 801 Vila Real, Portugal, e-mail: afolgado@utad.pt

Abstract: We introduce the notion of quasi-well-centered spherical quadrangle, or QWCSQ for short, describing a geometrical method to construct any QWCSQ. It is shown that any spherical quadrangle is congruent to a QWCSQ. We classify such quadrangles taking in account the relative position of the spherical moons containing their sides. This allows us to conclude that the class of all QWCSQ is a differentiable manifold of dimension five.

Keywords: spherical geometry, applications of spherical trigonometry

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Electronic version published on: 27 Jan 2010. This page was last modified: 9 Feb 2010.

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