# Mollweide’s equations

[10pt]

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

 $(a-b)\cos\frac{\gamma}{2}=c\sin\left(\frac{\alpha-\beta}{2}\right).$
Title Mollweide’s equations MollweidesEquations 2013-03-22 12:50:08 2013-03-22 12:50:08 mathwizard (128) mathwizard (128) 5 mathwizard (128) Theorem msc 51-00