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Abstract. In this paper we prove the existence of central con gurations of the n + 2{body problem where n equal masses are located at the vertices of a regular n{gon and the remaining 2 masses, which are not necessarily equal, are located on the straight line orthogonal to the plane containing the n{gon passing through its center. Here this kind of central con gurations is called bi{pyramidal central con gurations. In particular, we prove that if the masses mn+1 and mn+2 and their positions satisfy convenient relations, then the con guration is central. We give explicitly those relations.

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Digitalización Vitoria-Gasteiz Archivos y Bibliotecas Julio 1994 18-57

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Mode of access: Internet.

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Bibliographical footnotes.

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"A Magyar királyi Igazságügyminisztériumtól és a patronázs egyesületektöl nyert adatok alapján."