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Year 2015, Volume 3, 2015, 1 - 4, 26.05.2016

Baki Karliga M. Savas

Abstract

References

  • Cho E., The generalized cross product and volumes of a simplex, Appl. Math. Lett., 4(6), 51-53, (1991).
  • Cho E., Dihedral angles of n−simplices, Appl. Math. Lett., 5(4), 55-57, (1992).
  • Grunbaum B., Convex polytopes, John Wiley and Sons Ltd., New York, (1967).
  • Karliga B., Hedronometric Proportions on Rectangular Tetrahedra, Preprint, (2015).
  • Leng G.S. and Zhang Y., Vertex angles for simplices, Appl. Math. Lett. 12(1), 1-5, (1999).
  • Quadret J.P., Lasserre J.B., and Hiriart-Urruty J.B., Pythagoras’ theorem for areas, Amer. Math. Monthly, 108(6), 549-552, (2001).
  • Veljan D., The sine theorem and inequalities for volumes simplices and determinants, Linear Algebra and Its Applications, 219, 79-91, (1995).
  • Veljan D. The 2500 years old pythagorean theorem, Mathematics Magazine, 73(4), 259-272, (2000).

n−dimensional Trigonometric Proportions for Rectangular Simplices

Year 2015, Volume 3, 2015, 1 - 4, 26.05.2016

Baki Karliga M. Savas

Abstract

The main aim of this paper is to obtain n−dimensional versions of trigonometric proportions for right triangle in terms of hypotenuse and perpendicular volume faces of a rectangular simplices.

Keywords

Tetrahedron proportion dihedral angle vertex angle

References

  • Cho E., The generalized cross product and volumes of a simplex, Appl. Math. Lett., 4(6), 51-53, (1991).
  • Cho E., Dihedral angles of n−simplices, Appl. Math. Lett., 5(4), 55-57, (1992).
  • Grunbaum B., Convex polytopes, John Wiley and Sons Ltd., New York, (1967).
  • Karliga B., Hedronometric Proportions on Rectangular Tetrahedra, Preprint, (2015).
  • Leng G.S. and Zhang Y., Vertex angles for simplices, Appl. Math. Lett. 12(1), 1-5, (1999).
  • Quadret J.P., Lasserre J.B., and Hiriart-Urruty J.B., Pythagoras’ theorem for areas, Amer. Math. Monthly, 108(6), 549-552, (2001).
  • Veljan D., The sine theorem and inequalities for volumes simplices and determinants, Linear Algebra and Its Applications, 219, 79-91, (1995).
  • Veljan D. The 2500 years old pythagorean theorem, Mathematics Magazine, 73(4), 259-272, (2000).
There are 8 citations in total.

Details

Other ID JA22SV66GP
Journal Section Articles
Authors

Baki Karliga This is me

M. Savas This is me

Publication Date May 26, 2016
Published in Issue Year 2015 Volume 3, 2015

Cite

APA Karliga, B., & Savas, M. (2016). n−dimensional Trigonometric Proportions for Rectangular Simplices. Turkish Journal of Mathematics and Computer Science, 3(1), 1-4.
AMA Karliga B, Savas M. n−dimensional Trigonometric Proportions for Rectangular Simplices. TJMCS. May 2016;3(1):1-4.
Chicago Karliga, Baki, and M. Savas. “n−dimensional Trigonometric Proportions for Rectangular Simplices”. Turkish Journal of Mathematics and Computer Science 3, no. 1 (May 2016): 1-4.
EndNote Karliga B, Savas M (May 1, 2016) n−dimensional Trigonometric Proportions for Rectangular Simplices. Turkish Journal of Mathematics and Computer Science 3 1 1–4.
IEEE B. Karliga and M. Savas, “n−dimensional Trigonometric Proportions for Rectangular Simplices”, TJMCS, vol. 3, no. 1, pp. 1–4, 2016.
ISNAD Karliga, Baki - Savas, M. “n−dimensional Trigonometric Proportions for Rectangular Simplices”. Turkish Journal of Mathematics and Computer Science 3/1 (May 2016), 1-4.
JAMA Karliga B, Savas M. n−dimensional Trigonometric Proportions for Rectangular Simplices. TJMCS. 2016;3:1–4.
MLA Karliga, Baki and M. Savas. “n−dimensional Trigonometric Proportions for Rectangular Simplices”. Turkish Journal of Mathematics and Computer Science, vol. 3, no. 1, 2016, pp. 1-4.
Vancouver Karliga B, Savas M. n−dimensional Trigonometric Proportions for Rectangular Simplices. TJMCS. 2016;3(1):1-4.