蒙日椭球与曲面曲率线构形的历史评述--以${\mathbb R}^3$为例
Historical Comments on Monge's Ellipsoid and the Configuration of Lines of Curvature on Surfaces Immersed in ${\mathbb R}^3$
摘要：
这是一篇关于历史上的里程碑的文章，它导致了对表面主要结构的研究，它们的结构稳定性和进一步的推广。这里指出，在工作的蒙日，1796年，发现元素的定性理论的微分方程，成立庞加莱于1881年。提出了两个开放的问题。
英文摘要：
This is an essay on the historical landmarks leading to the study of principal configurations on surfaces, their structural stability and further generalizations. Here it is pointed out that in the work of Monge, 1796, are found elements of the qualitative theory of differential equations, founded by Poincaré in 1881. Two open problems are proposed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
