got another problem

consider again the figure above

this time

b' is known (V

_{2})

a-a' is know (V

_{1})

The trick is that a is not know, nor is a'! We only know the distance between them.

Find a and b

I'm not sure there is a single solution. I guess there will be a formula of b against a.

From the equation x

^{2}/a

^{2} + y

^{2}/b

^{2} = 1

I have (a-V

_{1})

^{2}/a

^{2} + V

_{2}^{2}/b

^{2}=1

if k = (a-V

_{1})

^{2}/a

^{2}b = V

_{2} / sqrt( 1-k )

So here I have formula of b against a but when I draw it on screen it doesn't work.

The idea is knowing M point and its opposite N, draw an elliptic Arc through those 2 points and point a. but center of ellipse is not know.