Euler line

名词 n.
中文释义

英文释义

名词 n.
  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.
    — Since the line joining the circumcenter and orthocenter of a triangle is its Euler line, we see that this parabola is the envelope of the Euler lines of the triangles Aᵢ.
  2. An Eulerian path, a looped path through a graph that passes along every edge exactly once.
    — Theorem 2.1 A connected graph with even local degrees has an Euler line.

词形变化

Euler lines plural Euler's line alternative

词源

Named for Swiss mathematician Leonhard Euler.
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