证明正交4球6平面及四维垂直的四维空间算法——四维体积勾股定理的应用(公式七)Proving Four-Dimensional Space Algorithms of Orthogonal Four-Sphere Six-Plane and Four-Dimensional Verticality—Application of Pythagorean Theorem of Four Dimensional Volume (Formula 7
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理论数学 Vol.10 No.1, January 9 2020, PDF, HTML, XML DOI:10.12677/PM.2020.101005 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
证明垂心四面体的内切球、4面和6棱旁切球半径坐标的算法——四维体积勾股定理的应用(公式五)Algorithm for Proving the Radius Coordinates of the Inscribed Sphere and 4-Surfaces and 6-Edge Line Escribed Spheres of the Orthocentric Tetrahedron—Application of Pythagorean Theorem of Four Dimensional Volume (Formula 5 (预印本)
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汉斯预印本 Vol.4 No.1, September 5 2019, PDF, , DOI:10.12677/HANSPrePrints.2019.41029 被引量
证明垂心四面体的内切球、4面和6棱旁切球半径坐标的算法——四维体积勾股定理的应用(公式五)Algorithm for Proving the Radius Coordinates of the Inscribed Sphere and 4-Surfaces and 6-Edge Line Escribed Spheres of the Orthocentric Tetrahedron—Application of Pythagorean Theorem of Four-Dimensional Volume (Formula 5
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理论数学 Vol.9 No.10, December 12 2019, PDF, HTML, XML DOI:10.12677/PM.2019.910141 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
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
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 (预印本)
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汉斯预印本 Vol.4 No.1, September 17 2019, PDF, , DOI:10.12677/HANSPrePrints.2019.41031 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
论勾股四态、以及正交球心间同构的场方程On Pythagorean Four-State and Isomorphism Field Equations between Orthogonal Spherical Centers
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理论数学 Vol.9 No.7, August 30 2019, PDF, HTML, XML DOI:10.12677/PM.2019.97100 被引量