No CrossRef data available.
Article contents
On touching circles
Published online by Cambridge University Press: 17 October 2018
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.
The circles C1, … , Cn form a chain of length n, or an n-chain, if Ci touches Ci + 1, for i = 1, … , n − 1, and the chain is closed if also Cn touches C1. If Ci touches Ci + 1 at Qi, for i = 1, … , n (subscripts being interpreted modulo n), then Q1, … , Qn (assumed distinct) are the contact points of the chain. A cyclic chain is a chain for which all the circles touch another circle S, the base circle of the chain, and if Ci touches S at Pi, then P1, … , Pn are the base points of the chain.
Information
- Type
- Articles
- Information
- Copyright
- Copyright © Mathematical Association 2018
References
1. Evelyn, C. J. A., Money-Coutts, G. B. and Tyrrell, J. A., The seven circles theorem and other new theorems, Stacey International (1974).Google Scholar
2. Silvester, J. R., The seven circles theorem revisited, Math. Gaz. 102, (July 2018) pp. 280–301.Google Scholar
You have Access