FORMULAES FOR THE DISTANCES FROM THE BROCARDIANS AND THE MIQUEL POINT IN A QUADRILATERAL TO ITS VERTICES AND THE MIDPOINTS OF ITS SIDES AND DIAGONALS

被引：0

作者：

Nenkov, Veselin ^{[1
]}

Stefanov, Stanislav ^{[2
]}

Haimov, Haim ^{[3
]}

机构：

[1] Nikola Vaptsarov Naval Acad, 73 Vasil Drumev St, Varna, Bulgaria

[2] Tech Univ Sofia, Sofia 1000, Bulgaria

[3] 16 Bratya Shkorpil St, Varna 9000, Bulgaria

来源：

MATHEMATICS AND INFORMATICS | 2019年 / 62卷 / 03期

关键词：

quadrilateral; notable points; inequalities; centroid; Euler circle;

D O I：

暂无

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

Formulae are derived and presented for the distances to the vertices and the midpoints of the sides and diagonals of a quadrilateral from three of its notable points. They are used to prove some inequalities in the quadrilateral, connecting the lengths of its sides and diagonals. An interesting property of the centroid of a quadrilateral inscribed in a circle has been found too.

引用

页码：305 / 324

页数：20

共 4 条

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