Sine theorem
From Encyclopedia of Mathematics
For any triangle in the Euclidean plane with sides 
and opposite angles 
, respectively, the equalities
 |
hold, where 
is the radius of the circumscribed circle.
Comments
In spherical geometry the sine theorem reads
 |
and in Lobachevskii geometry:
 |
References
| [a1] | H.S.M. Coxeter, S.L. Greitzer, "Geometry revisited" , Math. Assoc. Amer. (1975) |
How to Cite This Entry:
Sine theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sine_theorem&oldid=12252
Sine theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sine_theorem&oldid=12252
This article was adapted from an original article by Yu.A. Gor'kov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article