Sum of Angles of Triangle in Elliptic Geometry
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Theorem
Let $T$ be a triangle embedded in an elliptic geometry.
Let $S$ denote the sum of the internal angles of $T$.
Then $S$ is greater than $180 \degrees$.
Proof
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Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): non-Euclidean geometry
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): non-Euclidean geometry