With a convex quadrilateral there are four related triangles. The barycentres, orthocentres, incentres, and circumcentres of these triangles determine four new quadrilaterals. Interesting properties of these quadrilaterals have been derived when the original quadrilateral is cyclic. Four results are proved for the case when the original quadrilateral is not cyclic. The results are relatively easy to prove and can be used with students, together with Cabri software.

Quadrilaterals of triangle centres

MAMMANA, MARIA FLAVIA;
2008-01-01

Abstract

With a convex quadrilateral there are four related triangles. The barycentres, orthocentres, incentres, and circumcentres of these triangles determine four new quadrilaterals. Interesting properties of these quadrilaterals have been derived when the original quadrilateral is cyclic. Four results are proved for the case when the original quadrilateral is not cyclic. The results are relatively easy to prove and can be used with students, together with Cabri software.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/5771
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