正交4球面8交点2共球心与欧拉线关系及Ln猜想——四维体积勾股定理的应用(公式八)Relation and Lagrange-Point Conjecture of 2 Spherical Centers of 8 Intersection Points between Euler-Line and Orthogonal 4 Spheres—Application of Pythagorean Theorem of Four-Dimensional Volume (Formula 8)
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理论数学 Vol.10 No.4, April 28 2020, PDF, HTML, XML DOI:10.12677/PM.2020.104048 被引量
垂心四面体的勾股4态15个外接球半径、外心坐标及距离的算法——四维体积勾股定理的应用(公式九)Calculation of radius, Circumcenter Coordinates and Distance of 15 Circumscribed Spheres of Pythagorean 4-State in a Orthocentric Tetrahedron—Application of Pythagorean Theorem of Four Dimensional Volume (Formula 9) (预印本)
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汉斯预印本 Vol.5 No.1, September 22 2020, PDF, , DOI:10.12677/HANSPrePrints.2020.51028 被引量
垂心四面体的勾股4态15个外接球半径、外心坐标及距离的算法——四维体积勾股定理的应用(公式九)Calculation of Radius, Circumcenter Coordinates and Distance of 15 Circumscribed Spheres of Pythagorean 4-State in an Orthocentric Tetrahedron—Application of Pythagorean Theorem of Four-Dimensional Volume (Formula 9)
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理论数学 Vol.10 No.11, November 27 2020, PDF, HTML, XML DOI:10.12677/PM.2020.1011133 被引量
证明正交四球间15个垂心球及距离公式的算法——四维体积勾股定理的应用(公式三)The Proof of 15 Projective Spheres Between Orthogonal Four Spheres and Algorithm of Distance Formula—Application of Pythagorean Theorem of Four Dimensional Volume (Formula 3) (预印本)
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汉斯预印本 Vol.4 No.1, August 8 2019, PDF, , DOI:10.12677/HANSPrePrints.2019.41026 被引量
证明正交四球间15个垂心球及距离公式的算法——四维体积勾股定理的应用(公式(三))The Proof of 15 Projective Spheres between Orthogonal Four Spheres and Algorithm of Distance Formula—Application of Pythagorean Theorem of Four Dimensional Volume (Formula (3))
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理论数学 Vol.9 No.8, October 24 2019, PDF, HTML, XML DOI:10.12677/PM.2019.98120 被引量
证明正交四球间15个重心球及距离公式的算法——四维体积勾股定理的应用(公式二)The Proof of 15 Barycentric Spheres between Orthogonal Four Spheres and Algorithm of Distance Formula—Application of Pythagorean Theorem of Four Dimensional Volume (Formula 2)
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理论数学 Vol.9 No.8, October 15 2019, PDF, HTML, XML DOI:10.12677/PM.2019.98115 被引量
证明以正交4球半径为4元数欧拉线的算法——四维体积勾股定理的应用(公式四)Prove the Algorithm of Euler Line with Orthogonal Radius of 4 Spheres as 4 Variables—Application of Pythagorean Theorem of Four Dimensional Volume (Formula 4) (预印本)
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汉斯预印本 Vol.4 No.1, August 23 2019, PDF, , DOI:10.12677/HANSPrePrints.2019.41028 被引量
证明以正交4球半径为4元数欧拉线的算法——四维体积勾股定理的应用(公式四)The Proof of the Algorithm of Euler Line with Orthogonal Radius of 4 Spheres as 4 Variables—Application of Pythagorean Theorem of Four Dimensional Volume (Formula 4)
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理论数学 Vol.9 No.9, November 20 2019, PDF, HTML, XML DOI:10.12677/PM.2019.99130 被引量
证明正交四球间15个重心球及距离公式的算法——四维体积勾股定理的应用(公式二)The Proof of 15 Barycentric Spheres Between Orthogonal Four Spheres and Algorithm of Distance Formula—Application of Pythagorean Theorem of Four Dimensional Volume (Formula 2) (预印本)
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汉斯预印本 Vol.4 No.1, August 2 2019, PDF, , DOI:10.12677/HANSPrePrints.2019.41025 被引量
垂心四面体4态的正弦余弦定律及其换元算法——四维体积勾股定理的应用(公式六)The Law of Sines and Cosines of the Orthocentric Tetrahedron with 4-State and Its Substitution Algorithm—Application of Pythagorean Theorem of Four Dimensional Volume (Formula 6)
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理论数学 Vol.9 No.10, December 23 2019, PDF, HTML, XML DOI:10.12677/PM.2019.910144 被引量