几何学中的升维类比与发现

Ascending Dimension Analogy,Discovery in Geometry

数学的发现与数学的论证是数学的两大重要内容,如果没有数学的发现则论证就成了无源之水,无本之木;如果没有论证,命题的真假就不得而知,则发现就失去了意义。阐述了几何学中的升维类比与发现,一是命题的发现,二是论证的思想方法的发现。

Math discovery and its reasoning are two key parts of math.there will be no reasoning without mathematical discovery,which in turn will make it impossible to tell which proposition is true or false.This paper describes the geometry of the ascending dimension analogy and discovery——proposition and a demonstration of the thought and method of discovery.