T
H
E

E
L
E
M
E
N
T
S
Book II   Proposition 4
Therefore
    the four areas HF, CK, AG, GE are equal to the squares on AC, CB and twice the rectangle contained by AC, CB.
But
    HF, CK, AG, GE are the whole ADEB, which is the square on AB.

Therefore
    the square on AB
is equal to
    the squares on AC, CB
and
    twice the rectangle contained by AC, CB.

Being what it was required to prove.
Previous Page    Return to Propositions