Proposition: Prop. 11.13: Straight Line Perpendicular to Plane from Point is Unique

(Proposition 13 from Book 11 of Euclid's “Elements”)

Two (different) straight lines cannot be set up at the same point at right angles to the same plane, on the same side.

fig13e

Modern Formulation

(not yet contributed)

Proofs: 1

Proofs: 1


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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