Proposition: 3.23: Segment on Given Base Unique
(Proposition 23 from Book 3 of Euclid's “Elements”)
Two similar and unequal segments of circles cannot be constructed on the same side of the same straight line.
The arc on a given base is unique.
Table of Contents
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