The generalized sine theorem and inequalities for simplices

✍ Scribed by Gangsong Leng; Yao Zhang

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 463 KB
• Volume: 278
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(97)10096-9

✦ Synopsis

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.