Triangle centres : barycentric coordinates

Ramachandran, A. (2020) Triangle centres : barycentric coordinates. At Right Angles (6). pp. 52-56. ISSN 2582-1873

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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.

Item Type: Articles in APF Magazines
Authors: Ramachandran, A.
Document Language:
Uncontrolled Keywords: Coordinates, Barycentric, Centre of mass, Centroid, Ratio
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
Publisher URL:

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