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BC has been drawn parallel to DE, one of the sides of the triangle ADE,
proportionally,
as AB is to BD,
so is AC to CE. [VI.2]
But
BD is equal to AC;
therefore
as AB is to AC, so is AC to CE.
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T H E E L E M E N T S |
Book VI Proposition 11 | |
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Since, then, BC has been drawn parallel to DE, one of the sides of the triangle ADE, proportionally, as AB is to BD, so is AC to CE. [VI.2] But BD is equal to AC; therefore as AB is to AC, so is AC to CE. |
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