Euler line

短语

词形变化

Euler lines 复数 Euler lines

别名

Euler's line

释义与例句

n.
  1. 1.

    A line that, for a given triangle, passes through several important points, including the circumcentre, orthocentre and centroid; an analogous line for certain other 2- and 3-dimensional geometric figures.

    数学

    2011, Derek Allan Holton, A Second Step to Mathematical Olympiad Problems, World Scientific Publishing, Mathematical Olympiad Series, Volume 7, page 57, Show that the perpendicular bisector of LM in Figure 2.5 meets the Euler line halfway between the orthocentre and the circumcentre of ΔABC.

  2. 2.

    An Eulerian path, a looped path through a graph that passes along every edge exactly once.

    数学

词源

Named for Swiss mathematician Leonhard Euler.

来源:wiktionary