On the Equality of Cevians: Beyond the Steiner-Lehmus Theorem

被引：0

作者：

Myrianthis, Kostantinos ^{[1
]}

机构：

[1] 58 Zan Moreas St, Athens 15231, Greece

来源：

JOURNAL FOR GEOMETRY AND GRAPHICS | 2016年 / 20卷 / 02期

关键词：

cevians; A-equicevian points; equicevian points; Steiner-Lehmus Theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of the present work is to investigate the relations in a triangle in order to have two cevians equal, given the fact that they intersect in a point of a third cevian. Obviously the Steiner Lehmus theorem deals with the specific case of cevians being angle-bisectors. All possible combinations of external or internal cevians, plus the possibilities of equicevian points are examined.

引用

页码：185 / 207

页数：23

共 4 条

[1] More on the Steiner-Lehmus Theorem
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JOURNAL FOR GEOMETRY AND GRAPHICS, 2010, 14 (02): : 127 - 133
[2] A Stronger Form of the Steiner-Lehmus Theorem
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JOURNAL FOR GEOMETRY AND GRAPHICS, 2009, 13 (01): : 25 - 27
[3] Echos of the Steiner-Lehmus equal bisectors theorem
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[4] Negation-Free and Contradiction-Free Proof of the Steiner-Lehmus Theorem
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NOTRE DAME JOURNAL OF FORMAL LOGIC, 2018, 59 (01) : 75 - 90

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