PlanetMath: Mollweide's equations

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Mollweide's equations

(Theorem)

$\includegraphics{dreieck.eps}$

In a triangle, having the sides

and

opposite to the angles $\alpha$ , $\beta$ and $\gamma$ respectively the following equations hold:

$\displaystyle (a+b)\sin \frac{\gamma}{2}=c\cos\left(\frac{\alpha -\beta}{2}\right)$

and

$\displaystyle (a-b)\cos\frac{\gamma}{2}=c\sin\left(\frac{\alpha -\beta}{2}\right).$

"Mollweide's equations" is owned by mathwizard.

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Cross-references: equations, angles, opposite, sides, triangle
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This is version 2 of Mollweide's equations, born on 2002-07-07, modified 2002-07-07.
Object id is 3160, canonical name is MollweidesEquations.
Accessed 3851 times total.

Classification:

51-00 (Geometry :: General reference works )

Pending Errata and Addenda

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