The nine-point circle draws connections between several interesting points in geometry.
Encyclopedia of triangle centers: https://faculty.evansville.edu/ck6/encyclopedia/ETC.html
Alternate proofs: https://ninepointcircle.weebly.com/proofs.html
Sections
0:00 Intro
1:39 Centroid
3:38 Circumcenter
5:56 Orthocenter
8:07 Nine-Point Circle
9:03 Lemmas
10:16 Proof
13:20 Euler Line