Proposition: 3.06: Touching Circles have Different Centers
(Proposition 6 from Book 3 of Euclid's “Elements”)
If two circles touch one another then they will not have the same center.
* For let the two circles $ABC$ and $CDE$ touch one another at point $C$.
* I say that they will not have the same center.
If two circles touch one another, then they have different centers.
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