DISTANCES BETWEEN REMARKABLE POINTS AND INEQUALITIES IN A CONVEX QUADRILATERAL

被引：0

作者：

Tabov, Dr. Yordan ^{[1
]}

Stefanov, Stanislav ^{[2
]}

Kanchev, Krasimir ^{[3
]}

Haimov, Haim ^{[4
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Akad Georgi Bonchev St,Bl 8, Sofia 1113, Bulgaria

[2] Univ Architecture Civil Engn & Geodesy, 1 Hristo Smirnenski Blvd, Sofia 1164, Bulgaria

[3] Univ Transport Todor Kableshkov, 158 Geo Milev St, Sofia 1574, Bulgaria

[4] 16 Bratya Shkorpil St, Varna, Bulgaria

来源：

MATHEMATICS AND INFORMATICS | 2024年 / 67卷 / 03期

关键词：

quadrilateral; remarkable points; distances; inequalities; MIQUEL POINT;

D O I：

10.53656/math2024-3-2-int

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

In this article, using the formulas derived in (Nenkov 2019) and (Nenkov 2022) for the distances from some remarkable points in the quadrilateral to its vertices and to the midpoints of its sides and diagonals, formulas for the distances from these remarkable points to the intersection of the diagonals and to the intersections of the pairs of opposite sides were obtained. Formulas are also derived for the distances from another remarkable point to the vertices of the quadrilateral, as well as to the remarkable points discussed in (Nenkov 2019). Using the obtained formulas for these distances, a number of inequalities in the quadrilateral are proved.

引用

页码：253 / 274

页数：22

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