Year 2015,
Volume 3, 2015, 1 - 5, 26.05.2016
Abstract
References
- Cho E., Pythagoren Theorems on Rectangular Tetrahedron, Appl. Math. Lett., 4:6, 37-38, (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).
- Henderson D.W., Taimina D., Experiencing Geometry in Euclidean, Spherical and Hyperbolic Spacees, Pearson, (2000).
- 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 2500 Years Old Pythagorean Theorem, Mathematics Magazine, 73(4), 259-272, (2000).
- Veljan D., The Sine Theorem and Inequalities for Volume Simplices, Linear Algeb.and Its Applications,70-91, (1995).
- Yakut A.T., Savas M., Kader S., On The Schlafli Differential Formula Based on Edge Lengths of Tetrahedron in H3 and S3, Geometriae Dedicata, 1, 99-115, (2009).
- Wirth K., Dreiding A.S., Relations between Edge Lengths, Dihedral Angles and Solid Angles in Tetrahedra, J. Math. Chem., 52, 1624-1638, (2014).
Year 2015,
Volume 3, 2015, 1 - 5, 26.05.2016
Abstract
The main aim of this paper is to obtain hedronometric proportions, which are three dimensional versions of trigonometric proportions for right triangle, as well as for dihedral and vertex angles of rectangular tetrahedron in terms of hypotenuse and perpendicular face area
References
- Cho E., Pythagoren Theorems on Rectangular Tetrahedron, Appl. Math. Lett., 4:6, 37-38, (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).
- Henderson D.W., Taimina D., Experiencing Geometry in Euclidean, Spherical and Hyperbolic Spacees, Pearson, (2000).
- 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 2500 Years Old Pythagorean Theorem, Mathematics Magazine, 73(4), 259-272, (2000).
- Veljan D., The Sine Theorem and Inequalities for Volume Simplices, Linear Algeb.and Its Applications,70-91, (1995).
- Yakut A.T., Savas M., Kader S., On The Schlafli Differential Formula Based on Edge Lengths of Tetrahedron in H3 and S3, Geometriae Dedicata, 1, 99-115, (2009).
- Wirth K., Dreiding A.S., Relations between Edge Lengths, Dihedral Angles and Solid Angles in Tetrahedra, J. Math. Chem., 52, 1624-1638, (2014).
There are 10 citations in total.
Details
| Other ID | JA22ST56YZ |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | May 26, 2016 |
| Published in Issue | Year 2015 Volume 3, 2015 |