Definition: Def. 11.08: Parallel Planes

(Definition 8 from Book 11 of Euclid's “Elements”)

Parallel planes are those (planes) which do not meet (one another).

Modern Formulation

Parallel planes are those which (extended infinitely) have no points in common.

Definitions: 1
Proofs: 2 3 4 5 6 7
Propositions: 8 9 10 11


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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