Hemisphere or on a hyperbolic plane

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Prove that every simple polygon on the plane or on a hemisphere or on a hyperbolic plane can be dissected into triangles without adding extra vertices. Which is similar as to show that every simple polygon can be divided into triangles, using only interior diagonals. (See the zig-zag example in the book. However, do a general case not just this example.)

Reference no: EM131826208

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