Proposition: 4.01: Fitting Chord Into Circle
To insert a straight line equal to a given straight line into a circle, (the latter straight line) not being greater than the diameter of the circle.
* Let $ABC$ be the given circle, and $D$ the given straight line (which is) not greater than the diameter of the circle.
* So it is required to insert a straight line, equal to the straight line $D$, into the circle $ABC$.
It is possible to construct a chord of a circle with a length less or equal to the diameter.
Table of Contents
Proofs: 1 2 3 4 5
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