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Σάββατο 3 Αυγούστου 2024

The Euler Line (Geogebra)

The diagram below contains a triangle ΔABC with circumcentre O, centroid G and orthocentre H. Euler's theorem says that O,G and H are collinear. 
You can see this in the diagram below, the Euler line through the points O,G and H is coloured in black, and its extension is coloured in orange.
By moving the vertices A, B and C you can see how the Euler line depends on these points.
See here.