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Definition: 6.03: Height of a Figure

(Definition 3 from Book 6 of Euclid's “Elements”)

The height of any figure is the (straight line) drawn from the vertex perpendicular to the base.

Modern Formulation

The height of a figure is the longest segment which can be drawn perpendicularly to the base.

Mentioned in:

Corollaries: 1
Proofs: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
Propositions: 27 28 29 30 31 32 33 34 35 36 37 38 39 40

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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