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Book VI   Proposition 19
Let
    ABC, DEF be similar triangles having the angle at B equal to the angle at E,
and such that
    as AB is to BC,
    so is DE to EF,
so that
    BC corresponds to EF. [V. Def.11]

I say that
    the triangle ABC has to the triangle DEF
a ratio
    duplicate of that which BC has to EF.
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