论文标题
关于几何本质的概念
Notions about the nature of Geometry
论文作者
论文摘要
在本文中，我们从历史和哲学的角度讨论了欧几里得几何五个假设的含义的变化，我们简短地引用了D. Hilberts形式主义。在整个年龄段的问题中，我们通过研究分割和各种几何形状的统一的几何形状进行了研究，该几何形状是由F. kleins Erlangen程序引入的。我们简单地提出了九个Cayley-Klein几何形状中的三个，然后以一些教学观点结论。
In this paper we discuss, from a historical and philosophical point of view, a variation of the meaning of the five postulates in Euclidean Geometry and we make a short reference to D. Hilberts formalism. We examine, throughout the ages, the question what is Geometry by studying the segmentation and the unification of various geometries, been introduced by F. Kleins Erlangen Program. We concisely present three out of nine Cayley-Klein geometries and then we conclude with some didactic perspectives.
