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Some characterisations of concurrency points in a triangle
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Date
2025-02-17
Authors
De, Prithwijit
MacHale, Des
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Publisher
Cambridge University Press
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Abstract
In geometry, we sometimes prove that a certain configuration Q has property P. If it turns out that Q is the only configuration that has property P, then we say that P is a characterisation of Q. For example, the centre of a circle is a point in the plane which is equidistant from every point on the circumference of the circle. In fact, the centre is the only point in the plane which is equidistant from every point on the circumference of a given circle. Thus we say that the centre of a circle is characterised by this property.
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Keywords
Concurrency points , Triangle , Geometry
Citation
De, P. and MacHale, D. (2025) 'Some characterisations of concurrency points in a triangle', The Mathematical Gazette, 109(574), pp.52-58. https://doi.org/10.1017/mag.2025.9
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© 2025, The Authors. Published by Cambridge University Press on behalf of The Mathematical Association.