T H E E L E M E N T S |
Book VI Proposition 3 | |
For, with the same construction, since as BD is to DC, so is BA to AC and also, as BD is to DC, so is BA to AE: for AD has been drawn parallel to EC, one of the sides of the triangle BCE; [VI.2] therefore also, as BA is to AC, so is BA to AE. [V.11] Therefore AC is equal to AE, [V.9] so that The angle AEC is equal to the angle ACE. [I.5] |
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