爱因斯坦论射影几何中的对合
Einstein on Involutions in Projective Geometry
摘要：
我们讨论爱因斯坦的知识射影几何。我们发现，爱因斯坦的草稿笔记本从1912年左右的几何草图的两页可以直接与类似的草图手稿页从他的普林斯顿岁月。通过这种对应关系，我们表明，草图都涉及到一个共同的主题，讨论对合在一个射影几何设置特别强调的无限点。我们提供了一个猜想，这些几何考虑的可能目的。
英文摘要：
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.
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