外接球

应用距离几何理论和解析方法研究了n维欧氏空间En中n维单形的外接球半径与内切球半径之间的不等式关系，以及单形体积与棱长之间的不等式关系。

The theory of distance geometry and the analytic method is used to study the inequality for circumradius and inradius and for the volume and edge-lengths of an n-dimensional simplex in the n-dimensional Euclidean space E ~ n.

本文用新方法讨论解决了n维椭圆空间S~n中若干几何问题。给出了关于n维球面单形的余弦定理、高的公式、内切及外接球半径r，R以及内心I与外心Q间的距离公式。

In this paper , we discuss some geometric problems in n dimensional elliptic space Sn to give the theory of cosine , the formula of highness , inradius , circumradius and distance between inscribed spherical centre and circumscribed spherical centre about n dimensional spherical simplex .

本文建立了n维单形Wn与其内接单形W'n的外接球半径和内切球半径的一个几何不等式，它包含了n维Euler不等式。

A geometric inequality for the circumradius and inradius of an n-dimensional simplex Ω n and it 's inscribed simplex Ω 'n is established . It contains the n-dimensional Euler inequality .

给出了n维欧氏空间En中的两个关于单形外接球半径和内径的几何不等式，同时进一步改进了文〔1〕和〔2〕中的n维欧拉不等式。

In two inequalities concerning the circumradius and inradius of an n dimensional simplex in the n dimensional Euclidean space E n were obtained , Thus , the n dimensional Euler inequality and the inequality in , were improved .

分析了正多面体结构的特点，通过研究正多面体外接球与特征基本体&棱锥的参数关系，应用特征复制原理，介绍了在Solidworks环境下进行正多面体三维建模的方法。

The structure of the regular polyhedron was analyzed . By investigating the parameter relationship between the regular polyhedron and the basic feature pyramid and applying the principles of feature copy , the 3D modeling method of the regular polyhedron in solidworks system was presented .

罗氏空间中四面体的外接球曲面及旁切球曲面

Circumscribed Hypersphere and Escribed Hypersphere of a Tetrahedron in Lobachevsky 's Space

涉及两个单形外接球半径的不等式

Some Inequalities Involving the Circumradiuses of Two Simplexes

n维单形外接球半径两个几何不等式

Two Geometric Inequalities for the Circumradius of Simplexes

最小外接球的精确评定

An Exact Evaluation of Minimal Circumscribed Sphere

利用医学体数据场的规则性，本文将外接球面法和进行分段的光线投射预处理方法相结合，提出了一种基于光线投射的体切割预处理方法。

Combining the methods of external sphere and pretreatment of rays , aim at regular medical volume data , and a fast volume clipping method based on ray-casting is given .

在直接接触检索算法的基础上引入域分解、外接球判断、可视化检测以及后修圆方法，提出一种新的三维凸多面体接触检索算法。

Based on direct contact detection method , field-decomposition , circumscribed-sphere detection , visibility and post-round are induced to develop a new contact detection algorithm for 3D convex polyhedron : Herein , the fundamental principle of the contact detection algorithm is described ;

我们队的左外野手鱼跃接球。

This left fielder of our team made a diving catch .