- 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?