T
H
E

E
L
E
M
E
N
T
S
Book IV   Proposition 7
Now, since
    the angle AEB is right,
and
    the angle EBG is also right,
therefore
    GH is parallel to AC. [I.28]
For the same reason
    AC is also parallel to FK,
so that
    GH is also parallel to FK. [I.30]

Similarly we can prove that
    each of the straight lines GF, HK is parallel to BED.
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