In absolute geometry, the Saccheri-Legendre theorem states that the sum of the angles in a triangle is at most 180 degrees. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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1. Wikipedia: Saccheri-Legendre theorem
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The existence of at least one triangle with angle sum of 180 degrees in absolute geometry implies Euclid's parallel postulate.
Saccheri-Legendre theorem (Wikipedia)
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