论文标题

中央四边形的形状

The Shape of Central Quadrilaterals

论文作者

Rabinowitz, Stanley, Suppa, Ercole

论文摘要

四边形的对角线形成四个组件三角形(以两种方式)。对于各种形状的四边形,我们检查了位于这四个组件三角形中的1000个三角形中心。使用计算机,我们确定四个中心何时形成特殊的四边形,例如菱形或环状四边形。典型的结果是以下内容。等距四边形的对角线将四边形分为四个非重叠三角形。然后,这四个三角形的Nagel点形成了正统的四边形。

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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