Short math question

[JellyWorld]

How do you prove that the orthocenter and the circumcenter of any triangle are isogonal conjugates?

 

[$kelet0r]

right you just used a whole load of words i dont understand and i'm studying maths in uni
right circumcentre = centre of the cicle encompassing the triangle
orthocentre = ?
conjugate = ?

ok here's my half assed idea

d = circumcentre
repeat the process for the orthocentre
do some wacky proving

 

[JellyWorld]

Orthocenter = intersection point of altitudes of triangle.

Point X is said to be the isogonal conjugate of point Y if Y is the intersection of the lines AX,BX,CX reflected across the angle bisecter of the respective vertices.

But nvm I figured out how to do it myself.