A little known trick which solves every single geometry problem in existence. It is used through drawing the isogonal conjugate of a median in a triangle after observing a median, and usually allows the use of Desargues' involution theorem to instantly finish the problem.
"How do you solve this problem?"
"See median, draw symmedian"
Given a triangle, construct its circumcircle and the tangents on each corner. Connect the intersections of the tangents to the opposite triangle vertice to form a symmedian.
The three symmedians coincide at the Symmedian Point, which is a reflection of the Incenter about the relevant median(s)
Fogey/fogy /fougi/ sl. (early 18C+, orig. Scot) old-fashioned, stuck-in-the mud.
Person with old fashioned ideas which he is unwilling to change: Come to the disco and stop being such an old fogey!
You think me an old fogeyand an old tory, his thoughtful voice said. I saw three generations since O’Connel’s time. I remember the famine. Do you know that the orange lodges agitated for repeal of the union twenty years before O’Connel did or before the prelates of your communion denounced him as a demagogue? You fenians forget some things. (James Joyce, Ulysses. PenguinBooks,1992. p. 38)