Proposition: 1.31: Constructing a Parallel Line from a Line and a Point
Euclid's Formulation
To draw a straight line parallel to a given straight line, through a given point.
Modern Formulation
Given a straight line \(BC\) and a point \(A\), which does not lie on the line, it is possible to construct the straight line \(EF\), which is parallel to \(BC\) and goes through the point $A.$
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
Sections: 27
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References
Adapted from CC BYSA 3.0 Sources:
 Callahan, Daniel: "Euclidâ€™s 'Elements' Redux" 2014
Adapted from (Public Domain)
 Casey, John: "The First Six Books of the Elements of Euclid"
Adapted from (subject to copyright, with kind permission)
 Fitzpatrick, Richard: Euclid's "Elements of Geometry"