Definition:Spherical Excess of Spherical Triangle
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Definition
Let $\triangle ABC$ be a spherical triangle.
Let $E$ be the sum of the angles of $\triangle ABC$.
The spherical excess of $\triangle ABC$ is how much $E$ is greater than $\pi$ radians.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): spherical triangle
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): spherical triangle