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Book VI   Proposition 1
Next,
    since the parallelogram EC is double of the triangle ABC, [I.41]
and
    the parallelogram FC is double of the triangle ACE,
while parts have the same ratio as the same multiples of them [V.15], therefore
    as the triangle ABC is to the triangle ACD,
    so is the parallelogram EC to the parallelogram FC.
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