Proposition: Prop. 11.24: Opposite Planes of Solid contained by Parallel Planes are Equal Parallelograms

(Proposition 24 from Book 11 of Euclid's “Elements”)

If a solid (figure) is contained by (six) parallel planes then its opposite planes are both equal and parallelogrammic.

Modern Formulation

(not yet contributed)

Proofs: 1

Proofs: 1 2 3 4 5 6

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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",, 2016