Morley's triangles of a triangle in the isotropic plane

被引：0
|
作者：
Kolar-Super, Ruzica [1 ]
Volenec, Vladimir [2 ]
机构：
[1] JJ Strossmayer Univ Osijek, Fac Educ, Dept Nat Sci, Cara Hadrijana 10, Osijek 31000, Croatia
[2] Univ Zagreb, Dept Math, Bijenicka Cesta 30, Zagreb 10000, Croatia
来源：
JOURNAL OF GEOMETRY | 2024年 / 115卷 / 02期
关键词：
Morley's triangle; Isotropic plane; Angle trisector; Standard triangle;
D O I：
10.1007/s00022-024-00721-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we define and study Morley's triangles of a triangle in the isotropic plane. We derive the equations of angle trisectors of angles of the standard triangle in the isotropic plane, and utilizing them we get the coordinates of vertices of Morley's triangles of the standard triangle. We investigate relationships between Morley's triangles and the initial triangle, as well as connections with some other triangle elements in the isotropic plane. Finally, we consider some dual concepts of the introduced concepts.
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页数：9
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