Ways are really not that difficult to understand visually. Basically, all the paths are the line connecting the two points on the Cartesian plane that defines the iphone screen.
When you move the ToPoint, it sets the current waypoint to the specified point.
When you add LineToPoint, it draws a straight line from the current point to the specified point.
When you add CurveToPoint, it draws a curved line from the current point to the specified point based on the defined tangent and control points.
And so on. I would recommend reading the apple documentation on CGPaths to better understand what each function does.
http://developer.apple.com/library/mac/#documentation/graphicsimaging/Reference/CGPath/Reference/reference.html
As far as your question is about starting with 12 instead of 3, just read the documentation for the CGPathAddArc function.
What you need to do is change the current code:
CGPathAddArc(thePath, NULL, 100.f, 100.f, 100.f, 0.f, (360* M_PI)/180, NO);
to:
CGPathAddArc(thePath, NULL, 100.f, 100.f, 100.f, -M_PI_2, M_PI_2*3, NO);
All this makes the launch angle change to -90 degrees (all angles are measured in radians from the horizontal) and the final angle is up to 270 degrees.
Hope this helps. Greetings
Brenton.