For some reason I was just thinking about squaring the circle
. This is a technique used to find the value of Pi.
If you inscribe a polygon inside a circle and keep increasing the number of sides of the polygon, eventually, at infinity, you will have the circumference of the polygon be equal to the circle's circumference. The exterior angles of the polygon from one side to an adjoining side will approach zero. The interior angles of adjacent sides will approach 180 degrees. The length of the polygon's sides will also approach a length of zero.
Notice I said "approach". Because of the fact we are dealing with a circle, the inscribed polygon may never have two adjacent sides whose interior angle is actually equal to 180 degrees or it would be a straight line and not follow the curve of the bounding circle. A similar concept applies to the length of the sides. The sides can never actually equal a length of zero units.
I am not sure why I thought of this. Perhaps it was a funny comic
I don't care if you think I am a geek for having random musings like this. I am cool with my geekyness. I even enjoy it. :-P
But don't push me... I *will* break out the horn-rimmed glasses with white tape on the nose bridge and pocket protector just to spite you. Yeah... I do, in fact, have a holster for my calculator. Whatchugonnadoboutit?!