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a third proportional O to AB, CD
and
a third proportional P to EF, GH. [VI.11]
Then, since,
as AB is to CD, so is EF to GH,
and
as CD is to O, so is GH to P.
therefore, ex aequali,
as AB is to O, so is EF to P. [V.22]
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T H E E L E M E N T S |
Book VI Proposition 22 | |
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For let there be taken a third proportional O to AB, CD and a third proportional P to EF, GH. [VI.11] Then, since, as AB is to CD, so is EF to GH, and as CD is to O, so is GH to P. therefore, ex aequali, as AB is to O, so is EF to P. [V.22] |
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