James Burkett Hartle, Gravity: An Introduction to Einstein's General Relativity, 2nd edition
Chapter 2. Geometry as Physics 제2장. 물리학으로서의 기하학
문제(Problem) 4 및 해설(Solution)
Draw examples of a triangle on the surface of a sphere for which:
(a) The sum of interior angles is just slightly greater than π.
(b) The sum of angles is equal to 2π.
(c) What is the maximum the sum of angles of a triangle on a sphere can be according to (2.4)? Can you exhibit a triangle where the sum achieves this value?
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