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.
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页码:75 / 80
页数:6
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