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Orthojoin


The orthojoin of a point X=l:m:n is defined as the orthopole of the corresponding trilinear line lalpha+mbeta+ngamma. In other words, the orthojoin of Kimberling center X_i is equivalent to the orthopole of the line L_i.

It is also the orthopole of the trilinear polar of the isogonal conjugate of X.

The following table summarizes the orthojoins of various Kimberling centers.


See also

Orthopole

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References

Kimberling, C. "Glossary: Encyclopedia of Triangle Centers." http://faculty.evansville.edu/ck6/encyclopedia/glossary.html.

Referenced on Wolfram|Alpha

Orthojoin

Cite this as:

Weisstein, Eric W. "Orthojoin." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Orthojoin.html

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