关于Monge定理几个推广的注记
A note on some generalizations of Monge's theorem
摘要：
我们推广Monge定理的$n+1$两两相似集（特别是凸体）在$E^n$在三个磁盘在$E^2$。我们还提出了一个版本的$n+1$独立点的$E^n$。它还包括反向声明。此外，我们还给出了双曲空间的$n$维球面和双曲面模型的Monge定理的一个类似结果.
英文摘要：
We generalize Monge's theorem for $n+1$ pairwise homothetic sets (in particular convex bodies) in $E^n$ in place of three disks in $E^2$. We also present a version for $n+1$ independent points of $E^n$. It also includes the reverse statement. Moreover, we give an analogon of Monge's theorem for the $n$-dimensional sphere and hyperboloid model of the hyperbolic space.
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