Proposition: 1.09: Bisecting an Angle
(Proposition 9 from Book 1 of Euclid's “Elements”)
To cut a given rectilinear angle in half.
- Let $BAC$ be the given rectilinear angle.
- So it is required to cut it in half.
![fig09e](https://github.com/bookofproofs/bookofproofs.github.io/blob/main/_sources/_assets/images/euclid/Book01/fig09e.png?raw=true)
Modern Formulation
It is possible to bisect a given angle \(\angle{BAC}\).
Table of Contents
Proofs: 1
Mentioned in:
Corollaries: 1
Proofs: 2 3 4 5 6
Propositions: 7 8
Sections: 9
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References
Adapted from CC BY-SA 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"