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AC has been drawn parallel to EC, one of the sides of the triangle BCE,
therefore, proportionally,
as BD is to DC
so is BA to AE. [VI.2]
But
AE is equal to AC;
therefore,
as BD is to DC,
so is BA to AC.
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T H E E L E M E N T S |
Book VI Proposition 3 | |
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And, since AC has been drawn parallel to EC, one of the sides of the triangle BCE, therefore, proportionally, as BD is to DC so is BA to AE. [VI.2] But AE is equal to AC; therefore, as BD is to DC, so is BA to AC. |
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