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New points that belong to the nine-point circle

Published online by Cambridge University Press:  06 June 2019

David Fraivert
David Fraivert*
Affiliation:
Department of Mathematics, Shaanan College, P.O. Box 906, Haifa 26109, Israel e-mail: davidfraivert@gmail.com
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Extract

In the present paper, we show that the point of intersection of the bimedians of a cyclic quadrilateral belongs to the nine-point circle (Euler’s circle) of the triangle with one vertex at the point of intersection of the quadrilateral’s diagonals and the other vertices at the points of intersection of the extensions of its pairs of opposite sides.

Type
Articles
Information
The Mathematical Gazette , Volume 103 , Issue 557 , July 2019 , pp. 222 - 232
Copyright
© Mathematical Association 2019 

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