In geometry, the Euler line, named after Leonhard Euler (/ ˈɔɪlər / OY-lər), is a line determined from any triangle that is not equilateral.

In any triangle , the Euler line is a line which passes through the orthocenter , centroid , circumcenter , nine-point center and de Longchamps point . It is named after Leonhard Euler.

The Euler line of a triangle is a line going through several important triangle centers, including the orthocenter, circumcenter, centroid, and center of the nine point circle.

The line on which the orthocenter H, triangle centroid G, circumcenter O, de Longchamps point L, nine-point center N, and a number of other important triangle centers lie. The Euler line is perpendicular to …

In the 18th century, the Swiss mathematician Leonhard Euler noticed that three of the many centers of a triangle are always collinear, that is, they always lie on a straight line. This line has come to be …

The Euler Line is a line that passes through the orthocenter, centroid, and circumcenter of a triangle. This geometric construction links several significant points of a triangle.

I made this program using the Khan Academy CS platform which allow you to plot the Euler line and see how it changes as the triangle changes (for example, if you make an equilateral triangle).

These three “centers” of the triangle lie on one straight line, called the Euler line.

The most famous line in the subject of triangle geometry is the Euler line, named in honor of Leonhard Euler (pronounced Oiler), who penned more pages of original mathematics than any other human …

In any triangle, three remarkable points - circumcenter, centroid, and orthocenter - are collinear, that is, lie on the same line, Euler's line. Centroid is always located between the circumcenter and the …