Geometric World

A look at some of the mysteries of geometry

Monday, April 28, 2025

Triangles (6) ... The Euler Line

In any triangle, the  circumcentre, centroid, and orthocentre always lie on a straight line, called the Euler line. The line is named after Leonard Euler (1707 - 1783) and he showed that those points are collinear in 1765 

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Thursday, April 17, 2025

Triangles (5) ... Excircles (or Escribed circles) + Bevan Circle, Gergonne Point and Nagel point

 

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