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Orthocenter locus
Author:
Zoltán Kovács
Try to find the locus of the orthocenter of a triangle if two vertices are fixed, and the third vertex is moving on a line.
Let us assume that the line is parallel to the opposite side. Try to change the opposite side to get as easy equation as possible.
What happens if we change the line to a non-parallel one? How does the equation change?
Can you set up a hypothesis for the maximal degree of the locus equation?
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