The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Math Topics » geometry.pre-college

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Six Circles Theorem
Replies: 4   Last Post: Dec 31, 1995 8:22 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Michael Keyton

Posts: 138
Registered: 12/3/04
Re: six circles
Posted: Dec 28, 1995 4:32 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

It can be found in Evelyn, Money-Coutts, and Tyrrell: The Seven Circles
Theorem and Other New Theorems (London, 1974)
Without proof it is mentioned in David Wells, Penquin Dictionary of
Curious and Interesting Geometry

On Thu, 28 Dec 1995, Mike de Villiers wrote:

> Recently I came across the following interesting result in a Dutch math
> journal. Does anyone have or know of a synthetic or transformation
> geometry proof for this "six circles" theorem?
> Triangle PQR is given. Circle A is drawn tangent to sides PQ and QR.
> Circle B is tangent to Circle A and to the two sides QR and RP, Circle C
> is tangent to Circle B and to sides RP and PQ, etc. Then the sixth circle
> F is tangent to Circle A.
> Michael de Villiers
> Univ Durban-Westville
> South Africa

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.