论文标题
在字段上刻有矩形的矩形路径
Paths of rectangles inscribed in lines over fields
论文作者
论文摘要
我们通过以两种方式参数这些矩形来研究平面线中刻有线条的矩形，一种涉及斜率和另一个纵横比。这会产生两条路径，一条找到具有指定斜率的矩形和具有指定纵横比的其他矩形。我们描述了这些路径的几何形状及其对四行选择的依赖。我们的方法是代数，并且在任意领域上工作。
We study rectangles inscribed in lines in the plane by parametrizing these rectangles in two ways, one involving slope and the other aspect ratio. This produces two paths, one that finds rectangles with specified slope and the other rectangles with specified aspect ratio. We describe the geometry of these paths and its dependence on the choice of four lines. Our methods are algebraic and work over an arbitrary field.
