Mollweide's equations
MollweidesEquations
2002-07-07 09:16:30
2002-07-07 09:48:08
Theorem
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In a triangle, having the sides $a$, $b$ and $c$ opposite to the angles $\alpha$, $\beta$ and $\gamma$ respectively the following equations hold:
$$(a+b)\sin \frac{\gamma}{2}=c\cos\left(\frac{\alpha -\beta}{2}\right)$$
and
$$(a-b)\cos\frac{\gamma}{2}=c\sin\left(\frac{\alpha -\beta}{2}\right).$$