The MacBeath triangle
(a term coined here for the first time), is the triangle whose vertices are the contact
points of the MacBeath inconic with the reference
It is the polar triangle of the MacBeath
It has trilinear vertex matrix
It is perspective with the reference triangle, with perspector (corresponding to the
Brianchon point of the MacBeath
inconic) given by Kimberling center , which has equivalent triangle center functions
It has area
is the area of the reference triangle.
The circumcircle of the MacBeath triangle is the
See alsoMacBeath Inconic
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Cite this as:
Weisstein, Eric W. "MacBeath Triangle."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MacBeathTriangle.html