论文标题
爱因斯坦关于投射几何形状
Einstein on Involutions in Projective Geometry
论文作者
论文摘要
我们讨论爱因斯坦对投射几何形状的了解。我们表明,1912年左右的爱因斯坦的《刮擦笔记本》的两页与几何素描可以直接与他普林斯顿时代的手稿页面中的类似草图直接相关联。通过这种对应关系,我们表明草图都与一个共同的主题有关,即在投射几何设置中对互动的讨论,特别强调了无限点。我们对这些几何考虑的可能目的提供了猜想。
We discuss Einstein's knowledge of projective geometry. We show that two pages of Einstein's Scratch Notebook from around 1912 with geometrical sketches can directly be associated with similar sketches in manuscript pages dating from his Princeton years. By this correspondence, we show that the sketches are all related to a common theme, the discussion of involution in a projective geometry setting with particular emphasis on the infinite point. We offer a conjecture as to the probable purpose of these geometric considerations.