T
H
E

E
L
E
M
E
N
T
S
Book IV   Proposition 15
I say that the hexagon ABCDEF is equilateral and equiangular.

For, since
    the point G is the center of the circle ABCDEF,
    GE is equal to GD.
Again, since
    the point D is the center of the circle GCH,
    DE is equal to DG.

    But GE is was proved equal to DG
therefore
    GE is also equal to ED;
therefore
    the triangle EGD is equilateral.
Previous Page    Return to Propositions    Next Page