Proposition: 6.30: Construction of the Inverse Golden Section
(Proposition 30 from Book 6 of Euclid's “Elements”)
To cut a given finite straight line in extreme and mean ratio.
* Let $AB$ be the given finite straight line.
* So it is required to cut the straight line $AB$ in extreme and mean ratio.
It is possible to cut a given segment at a point being its inverse golden ratio.
Table of Contents
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016