中文摘要：

现代微分几何学与古典微分几何学的重要区别在于前者关注内蕴的几何对象以及内蕴的几何性质。带来这一历史转折的是高斯绝妙定理,高斯所发现和证明的绝妙定理使得高斯关注曲面的内蕴性质,并进而导致内蕴几何学的建立。高斯建立绝妙定理的过程是高斯内蕴几何学起源的最重要线索。但目前关于绝妙定理建立过程的历史研究,最多给出高斯相关工作的年谱。在研究原始文献和相关研究文献基础上,梳理高斯关于绝妙定理相关工作之间的历史关联,还原高斯发现和证明绝妙定理的过程,提出并回答关于绝妙定理的几个历史问题。

英文摘要：

One important difference between modern differcntial geometry and classical differential geometry is that the former pay attention to intrinsic geometrical object and intrinsic geometrical property. Gauss＇ s Theorems Egregium plays the most important role in this historical turning point, in that it enlighten Gauss the value of intrinsic property and brought about the beginning of intrinsic geometry. However, the relations between the six original literature concerning Gauss＇ Theorems Egregium is hitherto insufficiently exploited. The purpose of this essay is to investigate these relations and recover the historical process of Theorems Egregium through interpreting primary and research literature and answering several concrete historical questions concerning Theorems Egregium.