Lines in various orientations shown colour-coded in the top
right quadrant of the original circle are deformed to the orientations and lengths
as shown in the bottom left quadrant of the ellipse. (The deformed lines should
be in the top left quadrant of the ellipse, but have been moved to the symmetrically
equivalent position for clarity). Note that some lines are shortened, some lines
are extended, all lines except the vertical and horizontal are rotated so as
to be less steep.