English

Appearance of similar triangles by certain operations on triangles

General Mathematics 2023-11-14 v1

Abstract

In this paper, a theorem about similar triangles is proved. It shows that two small and four large triangles similar to the original triangle can appear if we choose well among several intersections of the perpendicular bisectors of the sides with perpendicular lines of sides passing through the vertices of the triangle.

Keywords

Cite

@article{arxiv.2311.06317,
  title  = {Appearance of similar triangles by certain operations on triangles},
  author = {Hiroki Naka and Takahiko Fujita and Naohiro Yoshida},
  journal= {arXiv preprint arXiv:2311.06317},
  year   = {2023}
}