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三角形的垂心、重心、外心三点共线 ,且垂心到重心的距离等于重心到外心距离的 2倍 ,这就是著名的欧拉定理 .前不久 ,人们又发现了一条类似的欧拉线 :三角形的界心、重心、内心三点共线 ,且界心到重心的距离等于重心到内心距离的 2倍 [1 ] .笔者在研究中又发现了一条新的类似欧
The triangle’s vertical center of gravity, center of gravity, and external center are colinear, and the distance from the center of gravity to the center of gravity is equal to twice the distance from the center of gravity to the center of the heart. This is the famous Euler’s theorem. Not long ago, people found a similar Euler line: The boundary of the triangle, the center of gravity, and the inner three points are collinear, and the distance from the center of the circle to the center of gravity is equal to twice the distance from the center of gravity to the center of the heart. [1] The author found a new similarity in the study.