TY - JOUR
T1 - Cosines and cayley, triangles and tetrahedra
AU - Hampton, Marshall E
PY - 2014/12
Y1 - 2014/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84954447790&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84954447790&partnerID=8YFLogxK
U2 - 10.4169/amer.nialh.monthly.121.10.937
DO - 10.4169/amer.nialh.monthly.121.10.937
M3 - Article
AN - SCOPUS:84954447790
SN - 0002-9890
VL - 121
SP - 937
EP - 941
JO - American Mathematical Monthly
JF - American Mathematical Monthly
IS - 10
ER -