Is there a way to directly construct triangle centers like Orthocenters, Circumcenters, etc.
Use the command TriangleCenter( <Point>, <Point>, <Point>, <Number> )
The parameters Point stands for the vertices of the triangle, number is the Kimberling number of the center.
The command works till X(3000), but I assume the higher ones are merely for inventary than for common use. See e.g. https://ggbm.at/vUQTDYM4
i cann't open/dowload the file
I tried to put the link to my book on triangle centers copying the link provided when using the share icon, where the result looks like a file you can't download...When I copy the adress of it in the browsers adress bar it's https://www.geogebra.org/m/vUQTDYM4
That's the first URL in mathmagics reply, while both URL's lead to the encyclopedia of triangle centers which is of course the bible of the issue.
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