n−dimensional Trigonometric Proportions for Rectangular Simplices

Volume: 3 Number: 1 May 26, 2016
  • Baki Karliga
  • M. Savas
EN

n−dimensional Trigonometric Proportions for Rectangular Simplices

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

References

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

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Baki Karliga This is me

M. Savas This is me

Publication Date

May 26, 2016

Submission Date

May 26, 2016

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 1

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