Proposition: 3.34: Construction of Segment on Given Circle Admitting Given Angle
(Proposition 34 from Book 3 of Euclid's “Elements”)
To cut off a segment, accepting an angle equal to a given rectilinear angle, from a given circle.
Modern Formulation
It is possible to construct segment of a circle, such that its inscribed angle ($\angle{CAB}$) is equal to a given rectilinear angle ($\angle D$) and its vertex ($A$) is located on this segment.
Table of Contents
Proofs: 1
Mentioned in:
Sections: 1
Thank you to the contributors under CC BYSA 4.0!
 Github:

 nonGithub:
 @Fitzpatrick
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