T
H
E

E
L
E
M
E
N
T
S
Book III   Proposition 25
For
    let AC be bisected at D,
    let DB be drawn from the point D at right angles to AC,
and
    let AB be joined;
the angle ABD is then greater than, equal to or less than the angle BAD.

First let it be greater;
and on the straight line BA, and at the point A on it,
    let the angle BAE be constructed equal to the angle ABD;
    let BD be drawn through to E,
and
    let EC be joined.
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