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Proposition: Prop. 11.08: Line Parallel to Perpendicular Line to Plane is Perpendicular to Same Plane

Euclid's Formulation

If two straight lines are parallel, and one of them is at right angles to some plane, then the remaining (one) will also be at right angles to the same plane.

• Let $AB$ and $CD$ be two parallel straight lines, and let one of them, $AB$, be at right angles to a reference plane.
• I say that the remaining (one), $CD$, will also be at right angles to the same plane.

Modern Formulation

(not yet contributed)

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2 3 4 5

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