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罗氏空间中四面体的外接球曲面及旁切球曲面
引用本文:刘宝康.罗氏空间中四面体的外接球曲面及旁切球曲面[J].首都师范大学学报(自然科学版),1997,18(3):15-19.
作者姓名:刘宝康
作者单位:首都师范大学数学系
摘    要:罗氏空间中每一四面体有唯一的外接球曲面及旁切球曲面。本文还讨论了此外接球曲面与四面体各面上的三角形的外接圆曲线的关系.

关 键 词:接球  外接圆  四面体  三角形  唯一  空间  曲面  圆曲线

Circumscribed Hypersphere and Escribed Hypersphere of a Tetrahedron in Lobachevsky's Space
Liu Baokang.Circumscribed Hypersphere and Escribed Hypersphere of a Tetrahedron in Lobachevsky''''s Space[J].Journal of Capital Normal University(Natural Science Edition),1997,18(3):15-19.
Authors:Liu Baokang
Abstract:Every tetrahedron in Lobachevsky's space has a unique circumscribed hypersphereand escribed hypersphere. The paper also discusses the relation between the circumscribed hypersphere and circumscribed hypercircles of the triangles on the faces of the tetrahedron.
Keywords:Lobachevsky's space  tetrahedron  circumscribed hypersphere  escribed hypersphere  circumscribed hypercircle  
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