Hyperspheres Associated with an n-Simplex

Hyperspheres Associated with an n-Simplex
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与 n-单纯形相关的超球面

DOI:
10.1080/00029890.1967.11999971
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发表时间:
1967
影响因子:
0.5
通讯作者:
Hyman Gabai
Hyman Gabai
中科院分区:
数学4区
文献类型:
--
作者:
H. E. Vaughan;Hyman Gabai

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1.导论.假设Ao和AI是有向直线上的两点。对于这条直线上的任意点P,设V、V0和VI分别为从A 0到AI、从P到AI和从A 0到P的有向距离。则Vo + VI = V。众所周知,如果ao、ai和p分别是A 0、AI和P相对于任何原点0的位置向量,则
1. Introduction. Suppose that Ao and AI are two points of an oriented line. For any point P of this line, let V, V0, and VI be the directed distances from A 0 to AI, from P to AI, and from A 0 toP, respectively. Then Vo+ VI= V. It is well known that if ao, ai, and p are the position vectors of A 0, AI, and P, respectively, with respect to any origin 0, then