Conic Solution of Euler's Triangle Determination Problem

被引：0

作者：

Yiu, Paul ^{[1
]}

机构：

[1] Florida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USA

来源：

JOURNAL FOR GEOMETRY AND GRAPHICS | 2008年 / 12卷 / 01期

关键词：

circumcenter; orthocenter; incenter; Feuerbach point; rectangular hyperbola;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Euler's problem of determination of a triangle from its circumcenter, orthocenter, and incenter as a problem of geometric construction. While it cannot be solved using ruler and compass, we construct the vertices by intersecting a circle with a rectangular hyperbola, both easily constructed from the given triangle centers.

引用

页码：75 / 80

页数：6

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