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Generalising a problem of Sylvester

Published online by Cambridge University Press:  23 January 2015

Michael De Villiers
Michael De Villiers*
Affiliation:
School of Science, Mathematics & Technology Education, University of KwaZulu-Natal, South Africa, e-mail: profmd@mweb.co.za
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Extract

The Euler line of a triangle is mostly valued, not for any practical application, but purely as a beautiful, esoteric example of post-Greek geometry. Much to his surprise, however, the author recently came across the following result and theorem by Sylvester (1814-1897) in [1] that involves an interesting application of forces that relate to the Euler line (segment). This result is also mentioned in [2] without proof or reference to Sylvester.

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Type
Articles
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The Mathematical Gazette , Volume 96 , Issue 535 , March 2012, pp. 78 - 81
Copyright
Copyright © The Mathematical Association 2012

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References

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