|Book I Proposition 24|
Again, since DF is equal to DG,
the angle DGF is equal to the angle DFG; [I.5]
the angle DFG is greater than the angle EGF.
the angle EFG is much greater than the angle EGF.
And, since EFG is a triangle having the angle EFG greater than the angle EGF, and the greater angle is subtended by the greater side, [I.19]
the side EG is also greater than EF.
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