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Is there a general equation expressing the area of a spherical quadrilateral using two polar angles, $\theta_1$ and $\theta_2$, an azimuth, $\phi$, and a radius, $r$?

I know this can be done by integration, but it seems like there should be an algebraic statement I could build in Excel.

http://wikisend.com/download/576780/Spherical quadrilateral.pdf

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You could post the diagrams to a file sharing site with links and someone could add them here. Regards –  Amzoti Jan 4 '13 at 18:20
Good idea. wikisend.com/download/576780/Spherical quadrilateral.pdf –  cmccabe Jan 4 '13 at 18:29

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