The Equation for an Ellipse is 
and the equation of a circle is 
. Now how to get from an ellipse is very simple, simply keep the ellipse in its x,y coordinate system and the circle will now be turned into a u,v coordinate system.
Something like this: 
and 
which gives a circle in the u,v coordinate system of radius 1 but whit an increased density. Finding the density is the tricky part but easy.
The new density of the u,v circle is “a”, 
. Now we do some simple integration, for our purpose a is now a constant
or 
where 
and 
And as we all know the area for an ellipse is 
, in this case a=2 and b=1, the area being 2
I should get a new program to sort this shit out
