Ramachandran, A.
(2020)
Triangle centres : barycentric coordinates.
At Right Angles (6).
pp. 52-56.
ISSN 2582-1873
Abstract
In an earlier article we had presented a way to
characterize well known triangle centres – by their
‘trilinear coordinates.’ (Ref. 1) In this article we take up
another system of characterising triangle centres, where each
triangle centre is considered as the location of the centre of
mass of a system of three point masses placed at the vertices
of the triangle. The ratio of the masses then forms the
‘barycentric coordinates’ of the point in question. This
approach was suggested by the German mathematician
August Ferdinand Mobius in 1827.
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