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The Problem:

Looking for the tangency points (where the lines would touch) between 2 ellipses (already rotated and translated). I have found generalized equations for standard ellipses but don't know how to adapt them. The ellipses may or may not overlap as well. I'm basically pulling the equation from a cad system and generating the tangent lines automatically.

Example of the information I have:

109.41x^2 + -278.93xy + 317.56y^2 + -33.04x + 48.67y = -1.57

1341.05x^2 + -868.64xy + 647.25y^2 + 6.06x + 12.59y = 0.89

2 Ellipses that I believe correspond to the equations above.

The coefficients on the equations above have been rounded to 2 decimal places.

My background is mainly in programming, so a simplistic explanation would be wonderful as I need to "convert" the math/logic to code.

Thank you!!

Chuck M
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0 Answers0