Definition: 4.4: Circumscribing Rectilinear Figures about Circles
(Definitions 4 from Book 4 of Euclid's “Elements”)
And a rectilinear figure is said to be circumscribed about a circle when each side of the circumscribed (figure) touches the circumference of the circle.
A rectilinear figure (\(n\)-sided figure, \(n \ge 3\)) is said to be circumscribed about a circle when each side of the figure is tangent to the circumference of the circle.
The pentagon is circumscribed about a circle:
Proofs: 3 4 5 6 7
Propositions: 8 9 10
Thank you to the contributors under CC BY-SA 4.0!
- Byrne, O.: "The First Six Books of the Elements of Euclid, in Which Coloured Diagrams and Symbols are used Instead of Letters", London William Pickering, 1847
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