◀ ▲ ▶Branches / Geometry / Elements-euclid / Book--7-elementary-number-theory / Definition: 7.06: Even Number

Definition: 7.06: Even Number

An even number is one (which can be) divided in half.

Notes

• Euclid's definition of even numbers is not exact since it allows e.g. incommensurable numbers being divided into halves to be even numbers, which is obviously not correct.

Modern Formulation

see even number.

Mentioned in:

Chapters: 1
Definitions: 2 3 4
Motivations: 5
Problems: 6 7 8 9
Proofs: 10 11 12 13 14 15 16 17 18
Propositions: 19 20 21 22 23 24
Sections: 25
Solutions: 26 27

Thank you to the contributors under CC BY-SA 4.0!

Github:

non-Github:

@Fitzpatrick

References

Adapted from (subject to copyright, with kind permission)

1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"

Adapted from CC BY-SA 3.0 Sources:

1. Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016