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Cevian axes and related curves

Published online by Cambridge University Press:  01 August 2016

M. D. Fox  and
J. R. Goggins
M. D. Fox
Affiliation:
2 Leam Road, Leamington Spa, Warwickshire CV31 3PA e-mail: [email protected]
J. R. Goggins
Affiliation:
10 Bowling Green Road, Whiteinch, Glasgow G14 9NU
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Extract

When exploring some triangle geometry, we stumbled upon a set of Cevian axes: lines having certain properties in common with the Euler line. These axes yielded interesting results that we had not seen before. However, we have since learnt that many of them were discovered in the 19th Century. We were also unaware that John Rigby had covered much of this ground in unpublished work in the 1990s (private communication). We are therefore reluctant to claim any of our results as new, even though we hope that some may be.

Type
Articles
Information
The Mathematical Gazette , Volume 91 , Issue 520 , March 2007 , pp. 2 - 26
Copyright
Copyright © The Mathematical Association 2007

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References

References and notes

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