Morley’s trisector Theorem for isosceles tetrahedron

被引：0
|
作者：
Q. H. Tran
机构：
[1] Vietnam National University at Hanoi,High School for Gifted Students, Hanoi University of Science
来源：
Acta Mathematica Hungarica | 2021年 / 165卷
关键词：
Morley’s trisector theorem; isosceles tetrahedron; 51M04; 51M25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We extend Morley’s trisector theorem in the plane to an isosceles tetrahedron in three-dimensional space. We will show that the Morley tetrahedron of an isosceles tetrahedron is also isosceles tetrahedron. Furthermore, by the formula for distance in barycentric coordinate, we introduce and prove a general theorem on an isosceles tetrahedron.
引用
收藏
页码：308 / 315
页数：7
相关论文
共 50 条
  • [31] A Short and Easy Proof of Morley's Congruence Theorem
    Aebi, Christian
    AMERICAN MATHEMATICAL MONTHLY, 2020, 127 (03): : 273 - 273
  • [32] Steady Motions of a Symmetric Isosceles Tetrahedron in a Central Force Field
    Burov, A. A.
    Nikonova, E. A.
    MECHANICS OF SOLIDS, 2021, 56 (05) : 737 - 747
  • [33] Steady Motions of a Symmetric Isosceles Tetrahedron in a Central Force Field
    A. A. Burov
    E. A. Nikonova
    Mechanics of Solids, 2021, 56 : 737 - 747
  • [34] The Petersen-Morley theorem
    Lyons, RJ
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1934, 30 : 192 - 196
  • [35] Morley's theorem revisited: Origami construction and automated proof
    Ida, Tetsuo
    Kasem, Asem
    Ghourabi, Fadoua
    Takahashi, Hidekazu
    JOURNAL OF SYMBOLIC COMPUTATION, 2011, 46 (05) : 571 - 583
  • [36] A DIRECT PROOF OF MORLEY THEOREM
    CUNDY, HM
    MATHEMATICAL GAZETTE, 1984, 68 (444): : 112 - 119
  • [37] Rotation of Isosceles Tetrahedron in Central Newtonian Force Field: Staude Cone
    Burov, A. A.
    Nikonova, E. A.
    MOSCOW UNIVERSITY MECHANICS BULLETIN, 2021, 76 (05) : 123 - 129
  • [38] British flag theorem for isosceles trapezia
    Tran, Quang Hung
    MATHEMATICAL GAZETTE, 2021, 105 (564): : 523 - 529
  • [39] Rotation of Isosceles Tetrahedron in Central Newtonian Force Field: Staude Cone
    A. A. Burov
    E. A. Nikonova
    Moscow University Mechanics Bulletin, 2021, 76 : 123 - 129
  • [40] On Stationary Motions of an Isosceles Tetrahedron with a Fixed Point in the Central Field of Forces
    E. A. Nikonova
    Mechanics of Solids, 2022, 57 : 1620 - 1632
12345