Cosines and cayley, triangles and tetrahedra

Research output: Contribution to journalArticlepeer-review


This article surveys some of the more aesthetically appealing and useful formulas relating distances, areas, and angles in triangles and tetrahedra. For example, a somewhat neglected trigonometric identity involving only the cosines of a triangle is an instance of the famous Cayley cubic surface. While most of these formulas are well known, some novel identities also make an appearance.

Original languageEnglish (US)
Pages (from-to)937-941
Number of pages5
JournalAmerican Mathematical Monthly
Issue number10
StatePublished - Dec 2014


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