Corollary: Cor. 10.003: Greatest Common Measure of Commensurable Magnitudes
(related to Proposition: Prop. 10.003: Greatest Common Measure of Commensurable Magnitudes)
(Corollary to Proposition 3 from Book 10 of Euclid's “Elements”)
So (it is) clear, from this, that if a magnitude measures two magnitudes then it will also measure their greatest common measure.
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Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"