Well, my dad helped me figure out some sort of semi logical geusstimating approach, so that'll do for now.
I need a proof though, the following one:
http://warpstorm.com/community/index.php?topic=8073.0(WS allows attachments, so the imager is there.)
You have a circle, and a point P outside that circle. There is a line from P intersecting the circle at two points, A and B. There is also a line from P touching the circle, at point C.
I need a proof that PA*PB=Constant, and that PC^2=Constant. I can see why PA*PB=PC^2, but not why PA*PB=Constant.
The answerbooklet gives me the following:
Triangle PAC is the same shape as PCB, so PA/PC=PC/PB and PA*PB=PC^2.
I get it, but I just don't see why PA*PB is constant.