Hi, can someone please tell me the proof of the following statement:
For the ellipse
the distances from any point on the ellipse to the foci [which are at (ae,0) and (-ae,0)] always total up to 2a.
The sum of the two distance is, of course, . I would recommend that you do "top" and "bottom" separately. That is, first replace y by and then by . Of course, since y is squared thos will give the same thing.-