T
H
E

E
L
E
M
E
N
T
S
Book IV   Proposition 12
Now, since
    the circumference BC is equal to CD,
    the angle BFC is also equal to the angle CFD. [III.27]
And
    the angle BFC is double of the angle KFC, and the angle DFC of the angle LFC;
therefore
    the angle KFC is also equal to the angle LFC.
But
    the angle FCK is also equal to the angle FCL;
therefore
    FKC, FLC are two triangles having two angles equal to two angles and one side equal to one side, namely FC which is common to them;
therefore they will also have the remaining sides equal to the remaining sides, and the remaining angle to the remaining angle. [I.26]
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