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Book VI   Proposition 15
But,
    as CAB is to BAD,
    so is CA to AD, [VI.1]
and,
    as EAD is to BAD,
    so is EA to AB. [VI.1]
Therefore also,
    as CA is to AD,
    so is EA to AB. [V.11]

Therefore
    in the triangles ABC, ADE the sides about the equal angles are reciprocally proportional.

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