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Book IV   Proposition 13
Similarly it can be proved that
    the angles BAE, AED have also been bisected by the straight lines FA, FE respectively.

Therefore
    the angles at the vertices of the pentagon are bisected by the lines joining them to F.

Now
    let FG, FH, FK, FL, FM be drawn from the point F perpendicular to the straight lines AB, BC, CD, DE, EA.
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