Ramachandran, A.
(2016)
Triangle centres and homogeneous coordinates, Part I  trilinear Coordinates.
At Right Angles, 5 (1).
pp. 4043.
ISSN 25821873
Abstract
During a course in Euclidean geometry at high school level,
a student encounters four classical triangle centres—the
circumcentre, the incentre, the orthocentre and the
centroid (introduced as the points of concurrence of the
perpendicular bisectors of the sides, the bisectors of the angles of the
triangle, the altitudes and the medians, respectively). We shall study
two alternative ways of describing and characterising these four
significant points. They are both known as homogeneous coordinate
systems, but we explain the significance of this term later. In part I of
the article, we consider the first of these: trilinear coordinates.
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