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Euler lines

Euler lines is the plural of Euler line.

Meaning of Euler line

Noun

Euler line (plural Euler lines)

  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.1983, The American Mathematical Monthly, volume 40, page 199
  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.1961, Yale University, Graphs and Their Uses, page 25

Questions about Euler lines

What is Euler lines the plural of?
Euler lines is the plural of Euler line.

Words near Euler lines in the dictionary

  1. Euler diagram
  2. Euler diagrams
  3. Euler genus
  4. Euler graph
  5. Euler line
  6. Euler lines
  7. Euler method
  8. Euler spiral
  9. Euler's continued fraction formula
  10. Euler's criterion
  11. Euler's formula

Source and license

Adapted from Wiktionary: Euler lines (page history and authors); Euler line (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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