I know in an convex quads,there are a family of inscribed ellipses.

What I want to know is when the semi-axis 'a' and four vertices are given, how to determine the rotation angle. There may be three solution at most.
Thanks in advance for your help.
I know in an convex quads,there are a family of inscribed ellipses.

What I want to know is when the semi-axis 'a' and four vertices are given, how to determine the rotation angle. There may be three solution at most.
Thanks in advance for your help.
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