Proposition: 3.14: Equal Chords in Circle
(Proposition 14 from Book 3 of Euclid's “Elements”)
In a circle, equal straight lines are equally far from the center, and (straight lines) which are equally far from the center are equal to one another.
Modern Formulation
Two chords in a circle are equal in length if and only if they are equally far from the center of the circle.
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1
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References
Adapted from (subject to copyright, with kind permission)
 Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BYSA 3.0 Sources:
 Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016
Footnotes