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Consider a spherical triangle with vertices $A, B$ and $C$, respectively. How to determine its area?

I know the formula:

$A = E R^2$,

where $R$ is radius of sphere, and $E$ is the excess angle of $(a + b + c - \pi)$, but how to determine the angles between $ABC, ACB$ and $BAC$?

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    How are A, B, C given? As vectors in three-space?2010-11-11

3 Answers 3