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?
The proposed ellipse is not fully determined. You need to specify some additional information, such as a fifth point or the length of the minor axis, to define a unique ellipse.