Proposition: Prop. 10.003: Greatest Common Measure of Commensurable Magnitudes
(Proposition 3 from Book 10 of Euclid's “Elements”)
To find the greatest common measure of two given commensurable magnitudes.
* Let $AB$ and $CD$ be the two given magnitudes, of which (let) $AB$ (be) the lesser.
* So, it is required to find the greatest common measure of $AB$ and $CD$.
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Table of Contents
Proofs: 1 Corollaries: 1
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Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016