【摘要】 本文提出并解决了下列问题：设ｅ１，ｅ２，…，ｅＮ是预给了两两之间的度量的几何元素，包括点、超平面和超球。图形｛ｅ１，ｅ２…，ｅＮ｝能否在ｎ维欧氏空间实现？如能实现，如何给出它们在某一坐标系中的坐标及方程？更多还原

【Abstract】 By "an elementary configuration" we mean a set of a finite number of points,oriented hyperplanes and oriented hyperspheres. In this paper, a complete solution of the following problems is given. Does there exist in Euclidean space a certain elementary configuration with a prescribed metric for each pair of its elements? If so, how can one find the coordinate representations of the elements of such a configuration?更多还原