How can I draw a a straight line that touches two ellipses? There are, like for two circles, 4 different solutions. I am not interested in the analytical solution, but in the geometrical drawing, although no matter if conics appear. Thanks.
2026-03-29 06:02:23.1774764143
To draw a straight line tangent to two given ellipses.
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You can load the file here into GeoGebra and look in the Construction Protocol to see how the tangents are calculated (in terms of the coefficients of the equation of the conics) https://help.geogebra.org/topic/tangent-to-ellipse
In short:
Dynamic Example (drag the points) https://www.geogebra.org/m/Yr9Jfinu
Credit: https://www.geogebra.org/u/mathmagic