Sine theorem

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. Yu.A. Gor'kov (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Sine_theorem&oldid=12252

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098