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Book I   Proposition 9
    Let some arbitrary point D have been taken on AB,
and
    AE equal to AD have been taken from AC , [I.3]
and
    let DE have been joined,
and upon DE
    let the equilateral triangle DEF have been constructed,
and let
    let AF have been joined.

I say that
    the angle BAC has been bisected by the straight line AF.
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