What mathematics produces a pencil of ellipses tangent in a quadrilateral?

Question:What mathematics produces a pencil of ellipses tangent in a quadrilateral?

Posted: Earl 970 Product: Maple 2020

November 22 2020

The worksheet below mimics some of the construction in the web site https://www.geogebra.org/m/d4k6SjFX.

This seems a crude and limiting way to display a pencil of ellipses tangent in a quadrilateral.

Please provide references (textbooks, articles, etc.) to the mathematics which produces this kind of display.

Sorry, I was not able to change the displays to inline.

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