The first goal of this article is to provide a statement of the conditions for geometric continuity of order k, referred in the bibliography as beta-constraints, in terms of Riordan matrices. The second one is to see this new formulation in action to solve a theoretical question about uniqueness of analytic solution for a general and classical problem in plane geometry: the F-chordal problem.

中文翻译：

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关于Riordan矩阵的平面曲线的几何连续性及其在F弦问题中的应用

本文的第一个目的是提供一个关于k阶几何连续性的条件的说明，该条件在参考书目中被称为Ri-约束矩阵，以Riordan矩阵表示。第二个是看到这种新的公式在起作用，以解决有关平面几何中一般和经典问题的解析解的唯一性的理论问题：F弦问题。