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arXiv · 2205.00870

The Shape of Central Quadrilaterals

Stanley Rabinowitz·Ercole Suppa
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Abstract

The diagonals of a quadrilateral form four component triangles (in two ways). For each of various shaped quadrilaterals, we examine 1000 triangle centers located in these four component triangles. Using a computer, we determine when the four centers form a special quadrilateral, such as a rhombus or a cyclic quadrilateral. A typical result is the following. The diagonals of an equidiagonal quadrilateral divide the quadrilateral into four nonoverlapping triangles. Then the Nagel points of these four triangles form an orthodiagonal quadrilateral.

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Stanley Rabinowitz, Ercole Suppa. 2022-04-29. The Shape of Central Quadrilaterals. https://arxiv.org/abs/2205.00870

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