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The Morley tricorn a solid figure constructed from the diagram for Morley's theorem

Published online by Cambridge University Press:  23 January 2015

A. J. Macfarlane
A. J. Macfarlane*
Affiliation:
Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, andSt John's College, Cambridge CB2 1TP, e-mail:aj.macfarlane@damtp.cam.ac.uk
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Extract

Morley's theorem states that the points of intersection of adjacent trisectors of the angles of any triangle are the vertices of an equilateral triangle, known as Morley's triangle. See Figure 1.

Concise proofs of the theorem are given in recent papers [1, 2]. A good picture of important previous work can be obtained by looking at [3, p. 1999], and examining references cited there.

Type
Articles
Information
The Mathematical Gazette , Volume 95 , Issue 532 , March 2011 , pp. 49 - 51
Copyright
Copyright © The Mathematical Association 2011

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References

1. Barbara, R., Two short proofs of Morley's theorem, Math. Gaz. 81 (November 1997) pp. 447–450.Google Scholar
2. Scott, J. A., Morley's theorem once again, Math. Gaz. 86 (March 2002) pp. 80–81.CrossRefGoogle Scholar
3. Weisstein, E. W., CRC Concise Encyclopedia of Mathematics, Chapman & Hall/CRC (1998).Google Scholar
4. Cundy, H. M. and Rollett, A. P., Mathematical Models (2nd edn.), Oxford University Press (1960).Google Scholar