The nine-point circle | plane geometry | intermediate level

Episode 101.

The nine-point circle | plane geometry | intermediate level.

Branch of mathematics: plane geometry.
Difficulty level: intermediate.

Theorem. In any triangle, the feet of the altitudes, the midpoints of the sides, and the midpoints of the segments connecting the vertices with the orthocenter lie on a single circle (which is called the nine-point circle of that triangle).

Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry

tags:
mathematics,geometry,plane geometry,classical geometry,Euclidean geometry,triangle,line,circle,circumcircle,altitude,perpendicular,nine-point circle,midpoint,median,orthocenter

The same video on YouTube:
https://youtu.be/BpBL76qUwD8

The same video on Telegram:
https://t.me/mathematical_bunker/125