Position of Centroid on Euler Line/Historical Note
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Historical Note on Position of Centroid on Euler Line
It was Leonhard Paul Euler who published the result that the circumcenter, centroid and orthocenter of a triangle all lie on the same straight line.
He also determined the ratio of the distances between these points.
Hence this line is now known as the triangle's Euler line.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $3$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3$