Proposition: 1.10: Bisecting a Segment
(Proposition 10 from Book 1 of Euclid's “Elements”)
To cut a given finite straight line in half.
* Let $AB$ be the given finite straight line.
* So it is required to cut the finite straight line $AB$ in half.
Modern Formulation
It is possible to bisect an arbitrary segment; that is, it is possible to locate the midpoint of a segment.
Table of Contents
Proofs: 1
Mentioned in:
Corollaries: 1
Problems: 2
Proofs: 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Propositions: 18 19 20
Sections: 21
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References
Adapted from CC BYSA 3.0 Sources:
 Callahan, Daniel: "Euclid’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"