正交4球面8交点2共球心与欧拉线关系及L_n猜想——四维体积勾股定理的应用(公式八)

Relation and Lagrange-Point Conjecture of 2 Concentric of 8 Intersection Points Between Euler-Line and Orthogonal 4-Sphere—Application of Pythagorean Theorem of Four Dimensional Volume (Formula 8)

摘要: 证明正交4球，球面内凹、外凸各4点 有各自的共球心及半径，其各自球心坐标的3个分坐标代数值都相同，并得出2球心间距公式；且证明随相同维数的变化，2球心与欧拉线各点具有共点、共线、共面、共体的区别。图示欧拉线与2球心连线约交于H垂心点；根据4个肥皂泡相接，提出5个拉格朗日点的猜想。

Abstract: It is proved that the four points of orthogonal 4-sphere, concave and convex, have their own con-centric and radii, and the three coordinates of their respective concentric coordinates are all the same. and it is proved that with the change of the same dimension, the points of the 2 spherical center and the Euler-line have the difference of common point, collinear, coplanar and common body. The figure shows that the Euler-line meets the line of 2 spherical centers approximately at the H point. according to the connection of 4 soap bubbles, the conjecture of 5 Lagrange-points is proposed.