Inequalities for Two Simplices
β Scribed by Leng Gangsong; Shen Zhu; Tang Lihua
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 69 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
We establish in this paper an inequality for two simplices, which combine altitudes and edge-lengths of one simplex with distances from an interior point to its facets of the other simplex, and give some applications thereof.
π SIMILAR VOLUMES
For an n-dimensional simplex in E", we establish a sine theorem and some inequalities for k-order vertex angles which are defined in this paper. To prove these results. we give a formula about the inverse matrix of the metric matrix of an n-parallelotope.
Some results for vertex angles of a simplex are given. A theorem of Cho [1] on dihedral angles of a simplex is generalized. ~
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