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## Main Question or Discussion Point

Picture of the problem:

As seen by the diagram above, a2 < a1

But the spherical Pythagorean theorem states that cos c = (cos a)(cos b).

The triangle can either have a1,b,c or a2,b,c as its sides, which means the above equation contradicts itself. Am I missing something?

thanks.

As seen by the diagram above, a2 < a1

But the spherical Pythagorean theorem states that cos c = (cos a)(cos b).

The triangle can either have a1,b,c or a2,b,c as its sides, which means the above equation contradicts itself. Am I missing something?

thanks.