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Book VI   Proposition 6
Therefore the angle DFG is equal to the angle DFE, and the angle DGF to the angle DEF.

But
    the angle DFG is equal to the angle ACB;
therefore
    the angle ACB is equal to the angle DFE.
And, by hypothesis,
    the angle BAC is also equal to the angle EDF;
therefore
    the remaining angle at B is also equal to the ramaining angle at E; [I.32]
therefore
    the triangle ABC is equiangular with the triangle DEF.

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