6 Greenhill Gardens,
5/ 1 /66.
My dear Mr Talbot
Since the ellipse & hyperbola
are confocal we must have
suppose, i.e. the distance of the focus from the center the same in each.
Hence the equations of the curves are
Their interaction is the point P where
The other ellipse is found by writing a2 + h for a2; and the other hyperbola by writing A2 + K for A2.
Hence, denoting the intersections as in the figure,
which is the proposition.
P. G. Tait.
H. F. Talbot Esqre