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Proposition: Prop. 11.16: Common Sections of Parallel Planes with other Plane are Parallel

Euclid's Formulation

If two parallel planes are cut by some plane then their common sections are parallel.

• For let the two parallel planes $AB$ and $CD$ have been cut by the plane $EFGH$.
• And let $EF$ and $GH$ be their common sections.
• I say that $EF$ is parallel to $GH$.

Modern Formulation

(not yet contributed)

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2

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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