# 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:

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

and

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

Title | Mollweide’s equations |
---|---|

Canonical name | MollweidesEquations |

Date of creation | 2013-03-22 12:50:08 |

Last modified on | 2013-03-22 12:50:08 |

Owner | mathwizard (128) |

Last modified by | mathwizard (128) |

Numerical id | 5 |

Author | mathwizard (128) |

Entry type | Theorem |

Classification | msc 51-00 |