ellips:
(x^2/a^2)^2 + (y^2/b^2)^2 = 1
an ellips doesnt have "a" diameter.
it does have a "long diameter" and a short one, which are 2a and 2b (on your drawing x and y)
i dont understand your 2nd question.
btw:
http://forums.procooling.com/vbb/att...=&postid=97151
this pic i found in the sticky