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Year 2015, Volume 3, 2015 , 1 - 4 , 26.05.2016
https://izlik.org/JA42TM96GG

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
https://izlik.org/JA42TM96GG

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.

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
Authors

Baki Karliga This is me

M. Savas This is me

Publication Date May 26, 2016
IZ https://izlik.org/JA42TM96GG
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. https://izlik.org/JA42TM96GG
AMA 1.Karliga B, Savas M. n−dimensional Trigonometric Proportions for Rectangular Simplices. TJMCS. 2016;3(1):1-4. https://izlik.org/JA42TM96GG
Chicago Karliga, Baki, and M. Savas. 2016. “N−dimensional Trigonometric Proportions for Rectangular Simplices”. Turkish Journal of Mathematics and Computer Science 3 (1): 1-4. https://izlik.org/JA42TM96GG.
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 [1]B. Karliga and M. Savas, “n−dimensional Trigonometric Proportions for Rectangular Simplices”, TJMCS, vol. 3, no. 1, pp. 1–4, May 2016, [Online]. Available: https://izlik.org/JA42TM96GG
ISNAD Karliga, Baki - Savas, M. “N−dimensional Trigonometric Proportions for Rectangular Simplices”. Turkish Journal of Mathematics and Computer Science 3/1 (May 1, 2016): 1-4. https://izlik.org/JA42TM96GG.
JAMA 1.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, May 2016, pp. 1-4, https://izlik.org/JA42TM96GG.
Vancouver 1.Baki Karliga, M. Savas. n−dimensional Trigonometric Proportions for Rectangular Simplices. TJMCS [Internet]. 2016 May 1;3(1):1-4. Available from: https://izlik.org/JA42TM96GG