Proposition: Prop. 11.03: Common Section of Two Planes is Straight Line

Euclid's Formulation

If two planes cut one another then their common section is a straight line.

fig03e

Modern Formulation

(not yet contributed)

Proofs: 1

Proofs: 1 2 3


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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

Footnotes


  1. The proofs of the first three propositions in this book are not at all rigorous. Hence, these three propositions should properly be regarded as additional axioms (translator's note)