◀ ▲ ▶Branches / Geometry / Elements-euclid / Book-11-elementary-stereometry / Proposition: Prop. 11.14: Planes Perpendicular to same Straight Line are Parallel

Proposition: Prop. 11.14: Planes Perpendicular to same Straight Line are Parallel

(Proposition 14 from Book 11 of Euclid's “Elements”)

Planes to which the same straight line is at right angles will be parallel planes.

• For let some straight line $AB$ be at right angles to each of the planes $CD$ and $EF$.
• I say that the planes are parallel.

Modern Formulation

(not yet contributed)

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1

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