Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 51, No. 1, pp. 111-115 (2010)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 51, No. 1, pp. 111-115 (2010) |
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Spherical QuadranglesCatarina P. Avelino, A. M. d'Azevedo Breda and Altino F. SantosDepartment 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.ptAbstract: 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 Full text of the article:
Electronic version published on: 27 Jan 2010. This page was last modified: 28 Jan 2013.
© 2010 Heldermann Verlag
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