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Dec 15, 2010 at 9:17 history edited Bill Thurston CC BY-SA 2.5
Eliminated one example to correct error noted in comment.
Dec 15, 2010 at 9:05 comment added BS. I doubt that there is a spherical triangle with all angles $2\pi/7$ : they sum to less than $\pi$, right ?
Dec 14, 2010 at 17:43 history edited Bill Thurston CC BY-SA 2.5
Added transcendental example, clarified a bit.
Dec 14, 2010 at 14:32 history answered Bill Thurston CC BY-SA 2.5