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Spherical Excess

The difference between the sum of the angles $A$, $B$, and $C$ of a Spherical Triangle and $\pi$ radians (180°),

\begin{displaymath}
E=A+B+C-\pi.
\end{displaymath}

See also Angular Defect, Descartes Total Angular Defect, Girard's Spherical Excess Formula, L'Huilier's Theorem, Spherical Triangle




© 1996-9 Eric W. Weisstein
1999-05-26