English Dictionary

Euler line

noun

(geometry) 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.

The Euler line is a line that

意味（1）

(geometry) 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.

意味（2）

(graph theory) 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.