A triangle with legs a and b, and hypotenuse (a(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}+b^{2})^{1/2}, maps directly onto an Euclidean plane, of curvature zero. What is the average curvature of a manifold conformed to a triangle of legs 1/a and 1/b, and hypotenuse (a^{2}+b^{2})^{-1/2}?

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# Non-Euclidean triangle

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