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平面几何部分一、几何学的基础知识和基本理论1.《几何学中的研究对象》作者:张素诚。《数学通报》1958年第9期第4—5页。内容提要:作者指出几何学者对抽象空间的研究,最早注意到的是欧氏空间,研究该空间中的距离、重合、运动等性质,并由仿射群、射影群、拓扑群等相应地产生了仿射几何、射影几何和拓扑几何,等等。此外,作者还对非欧几何、微分几何等作了简略说明。2.《关于欧几里得的几何学》作者:梅荣照。《数学通报》1962年第1期等36—38页。
Part of a plane geometry, basic knowledge of geometry and basic theory 1. “geometry of the object of study” Author: Zhangsu Cheng. Mathematics Bulletin, 9th 1958, pp. 4–5. Abstract: The author points out that the study of abstract space by geometry scholars was the earliest attention to the Euclidean space. It studies the properties of distance, overlap, and movement in the space and is generated by affine groups, projective groups, and topological groups. Affine geometry, projective geometry and topological geometry, and so on. In addition, the author also gives a brief description of non-Euclidean geometry and differential geometry. 2. “About Euclidean geometry” Author: Mei Wing Chiu. “Mathematical Bulletin,” 1962, 1st pp. 36-38.