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as FD is to GB,
so is FE to GH, and ED to HB.
But it was also proved that,
as FD is to GB,
so is FC to GA, and CD to AB;
therefore also,
as FC is to AG,
so is CD to AB,
and
FE to GH,
and further
ED to HB.
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T H E E L E M E N T S |
Book VI Proposition 18 | |
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Therefore, proportionally, as FD is to GB, so is FE to GH, and ED to HB. But it was also proved that, as FD is to GB, so is FC to GA, and CD to AB; therefore also, as FC is to AG, so is CD to AB, and FE to GH, and further ED to HB. |
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