Proposition: 3.24: Similar Segments on Equal Bases are Equal
(Proposition 24 from Book 3 of Euclid's “Elements”)
Similar segments of circles on equal straight lines are equal to one another.
* For let $AEB$ and $CFD$ be similar segments of circles on the equal straight lines $AB$ and $CD$ (respectively).
* I say that segment $AEB$ is equal to segment $CFD$.
Similar segments are congruent if their bases are equal in length.
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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