Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 51, No. 1, pp. 111-115 (2010)
Catarina P. Avelino, A. M. d'Azevedo Breda and Altino F. SantosDepartment of Mathematics, UTAD, 5001 - 801 Vila Real, Portugal, e-mail: email@example.com; Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal, e-mail: firstname.lastname@example.org; Department of Mathematics, UTAD, 5001 - 801 Vila Real, Portugal, e-mail: email@example.com
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: 28 Jan 2013.