"Pure mathematics is, in its way, the poetry of logical ideas." Albert Einstein
Some circle geometry: Power of a Point
![[asy] draw(circle((0,0),3)); dot((-2.82,1)); label("A",(-3.05,1.25)); dot((1,2.828)); label("B",(1.25,3.05)); draw((-2.82,1)---(1,2.828)); dot((2.3,-1.926)); label("C",(2.55,-2.346)); dot((-2.12,2.123)); label("D",(-2.37,2.507)); draw((2.3,-1.926)---(-2.12,2.123)); dot((-1.556,1.602)); label("P",(-1.656,1.202)); [/asy]](https://latex.artofproblemsolving.com/4/3/e/43ea0defa651cb6ea1bff713078ff1db02e4bbd2.png)
