Humenberger, Hans
(2023)
Centroids of Quadrilaterals and a Peculiarity of Parallelograms.
At Right Angles.
pp. 90-98.
ISSN 2582-1873
Abstract
We analyze briefly different kinds of centroids of quadrilaterals and give geometrical and elementary proofs that in the world of quadrilaterals, only parallelograms have the property that their laminar centroid coincides with the vertex centroid. This paper is based on short papers (in German) by Arnold Kirsch (Kassel, Germany, 1922-2013) published between 1987 and 1995. We think these deserve to be better known – published proofs in mathematical journals in English language are usually rather complex (e.g., Kim 2016, 2020).
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