Originally Posted by
wheelreason
Nope, no need. Try this, use your own crank and pedals. Scribe the circle of your actual cranks. Now figure out what your actual pedal angle is at say every 10 to 20 degrees when you pedal (the more data points the better) now place dots where your pedal tops end up at those positions (you can connect those dots as smoothly as possible if you'd like, but not really required). Now find any point inside the scribed circle of your crank that is equidistant from all those points.
That's correct, but that's not the problem under debate. You commented on a statement that was not directed at you, but at the person that has repeatedly posted a diagram that shows pedals that are directly above the pedal spindle at all times. In that case, the pedal tops travel in a circle. I'm sure you'll agree with that.