T
H
E

E
L
E
M
E
N
T
S
Book II   Proposition 9
Again, since EG is equal to GF,
    the square on EG is also equal to the square on GF;
therefore
    the squares on EG, GF are double of the square on GF.

But
    the square on EF is equal to the squares EG, GF,
therefore
    the square on EF is double of the square on GF.
But
    GF is equal to CD; [I.34]
therefore
    the square on EF is double of the square on CD.
Previous Page    Return to Propositions    Next Page