Is there a way to find out the centre coordinates of an ellipse given the corner points of a trapezoid inscribed within it? The height and the lengths of AB and CD are known. Here is a diagram:
In this, given the points A,B,C and D, is there a way to gain any information about the ellipse outside this trapezoid? I realise that its major and minor axes could vary, but can't the centre be found out?