Propositions from Book 1

Proposition: Constructing a Parallel Line from a Line and a Point

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(Proposition 31 from Book 1 of “Euklid’s Elements”)

Given a straight line \(AB\) and a point \(C\), which does not lie on the line, it is possible to constract the straight line \(CE\), which is parallel to \(AB\).

References

[628] Casey, John: “The First Six Books of the Elements of Euclid”, http://www.gutenberg.org/ebooks/21076, 2007
[626] Callahan, Daniel: “Euclid’s ‘Elements’ Redux”, http://starrhorse.com/euclid/, 2014

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