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A certain cubic connected with the triangle

Published online by Cambridge University Press:  20 January 2009

Steggall
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In examining some of the lines that occur in connection with the recent geometry of the triangle, the cubic whose equation in trilinear co-ordinates is

incidentally appeared, and it seems worth noting the very large number of special points it passes through. These are the vertices, the mid-points of the sides, the inscribed and escribed centres, the circumcentre, the orthocentre, the centroid and the symmedian points, or fourteen in all.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 7 , February 1888 , pp. 66 - 67
Copyright
Copyright © Edinburgh Mathematical Society 1888