Hyperbola
A silly (but difficult) unit on the theory of rectangular circumhyperbolas and the Poncelet point. For fun, if you really like hardcore projective geometry.
Hyperbola is about hyperbolas, as you'd expect. In particular, rectangular circumhyperbolas are studied, as well as a little bit of isogonal conjugation. It is recommended you know several classical orthocenter and incenter configurations as well as having decent projective geo base (so maybe homography could be a prereq). Some useful results will be key in making otherwise scary looking problems much simpler.
Notable Problems
- Fontené's three theorems: three results about pedal circles, isogonal conjugates, and the nine-point circle.
- TSTST 2020/6: converse of anticenter configuration but not bad for a P6.