Centroids of Quadrilaterals and a Peculiarity of Parallelograms

Humenberger, Hans (2023) Centroids of Quadrilaterals and a Peculiarity of Parallelograms. At Right Angles. pp. 90-98. ISSN 2582-1873

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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).

Item Type:	Articles in APF Magazines
Authors:	Humenberger, Hans
Document Language:	Language English
Uncontrolled Keywords:	Geometry, centroids, parallelograms, laminar centroid, vertex centroid
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/5217
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