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Lemma: Lem. 13.02: Converse of Area of Square on Greater Segment of Straight Line cut in Extreme and Mean Ratio
(Lemma to Proposition 2 from Book 13 of Euclid's “Elements”)
And it can be shown that double $AC$ (i.e., $DC$) is greater than $BC$, as follows.
Modern Formulation
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Table of Contents
Proofs: 1
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References
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
