T
H
E

E
L
E
M
E
N
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S
Book VI   Proposition 23
Now since,
    as BC is to CG, so is the parallelogram AC to the parallelogram CH, [VI.1]
while
    as BC is to CG, so is K to L,
therefore also,
    as K is to L, so is ACto CH. [V.11]

Again, since,
    as DC is to CE, so is the parallelogram CH to the parallelogram CF, [VI.1]
while,
    as DC is to CE, so is L to M,
therefore also,
    as L is to M, so is the parallelogram AC to the parallelogram CF. [V.11]
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