H
E
E
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as BA is to AC,
so is GD to DF. [VI.4]
But, by hypothesis,
as BA is to AC,
so also is ED to DF;
therefore also,
as ED is to DF,
so is GD to DF. [V.11]
Therefore
ED is equal to DG. [V.9]
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T H E E L E M E N T S |
Book VI Proposition 6 | |
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Therefore, proportionally, as BA is to AC, so is GD to DF. [VI.4] But, by hypothesis, as BA is to AC, so also is ED to DF; therefore also, as ED is to DF, so is GD to DF. [V.11] Therefore ED is equal to DG. [V.9] |
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