|Book IV Proposition 15|
I say that the hexagon ABCDEF is equilateral and equiangular.
the point G is the center of the circle ABCDEF,
GE is equal to GD.
the point D is the center of the circle GCH,
DE is equal to DG.
But GE is was proved equal to DG
GE is also equal to ED;
the triangle EGD is equilateral.
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