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Proposition: Prop. 10.004: Greatest Common Measure of Three Commensurable Magnitudes

(Proposition 4 from Book 10 of Euclid's “Elements”)

To find the greatest common measure of three given commensurable magnitudes.

• Let $A$, $B$, $C$ be the three given commensurable magnitudes.
• So it is required to find the greatest common measure of $A$, $B$, $C$.

Modern Formulation

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Table of Contents

Proofs: 1 Corollaries: 1

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References

Adapted from (subject to copyright, with kind permission)

1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"

Adapted from CC BY-SA 3.0 Sources:

1. Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016