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Quadrilaterals of triangle centres

Published online by Cambridge University Press:  01 August 2016

Maria Flavia Mammana  and
Biagio Micale
Maria Flavia Mammana
Affiliation:
Department of Mathematics and Computer Science, University of Catania, Italy
Biagio Micale
Affiliation:
Department of Mathematics and Computer Science, University of Catania, Italy
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Extract

Let Q be a convex quadrilateral ABCD. We denote by TA, TB, Tc, TD, the four triangles BCD, CDA, DAB, ABC, respectively

The barycentres (or centroids), orthocentres, incentres and circumcentres of such triangles determine other quadrilaterals in their turn that we call the quadrilateral of the barycentres, of the orthocentres, of the incentres and of the circumcentres, respectively. We denote these quadrilaterals by Qb, Q0, Qi, Qc, respectively.

Type
Articles
Information
The Mathematical Gazette , Volume 92 , Issue 525 , November 2008 , pp. 466 - 475
Copyright
Copyright © The Mathematical Association 2008

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References

Further reading

Coxeter, H. S. M. and Greitzer, S. L. Geometry revisited, Washington, DC: Amer. Math. Assoc. (1967).Google Scholar
Wells, D. The Penguin dictionary of curious and interesting geometry, Penguin Books (1991).Google Scholar

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