Orthocenters of Simplices on Spheres
نویسنده
چکیده
We consider orthocenters of simplices of the unit sphere of the ndimensional Euclidean space. For n = 3, orthocenters always exist for all simplices, but for n ≧ 4, they do not necessarily exist. Moreover, unlike the case of the Euclidean space, it is possible that there exist infinite numbers of orthocenters. In this paper, we give characterizations of the existence and the uniqueness of orthocenters.
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تاریخ انتشار 2017