Let C be a point on an ellipse or hyperbola,CB the perpendicular from that point

Let C be a point on an ellipse or hyperbola,CB the perpendicular from that point to the diameter. LetGandHbe the intersections of the diameter with the curve, and chooseAon the diameter or the diameter extended so thatAH:AG=BH:BG. ThenACwill be tangent to the curve at C
prove with the original method of Apollonius!!!!!!!!!
should be handwritten!