Dreamer101 - Hey, I remember you gave me that link, last October, in this thread:

Pathing a circle in 4 Anchors

You're to thank for the point that turned my perpective toward depending on the Pen Tool; thanks again!

FlameOfWrath - Basically what I learned is that if you want the 3rd anchor to behave like the 2nd, then you'd have needed to Alt-Click the 2nd anchor, before have drawn the 3rd.  This rule then continues, i.e. you'd then need to Alt.-Click the 3rd anchor if  you'd like a fourth anchor, to behave like the 2nd and 3rd.