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CTK Exchange
Gerenuk
Member since Oct-13-09
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Oct-13-09, 03:35 PM (EST) |
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"Intersection of ellipses"
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Just recently I found an answer to a question how to derive when two ellipses given in cartesian coordinates intersect. See <https://www.physicsforums.com/showthread.php?t=344485> post #7 I was actually surprised about the form of the solution. My thought was: Is there a geometric transformation of two displaced ellipses that makes the form of the final solution obvious? I was trying to find a coordinate transformation that transforms two displaced ellipses into two circles. |
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alexb
Charter Member
2447 posts |
Oct-14-09, 07:14 AM (EST) |
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2. "RE: Intersection of ellipses"
In response to message #0
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>My thought was: Is there a geometric transformation of two
>displaced ellipses that makes the form of the final solution
>obvious?
I do not know about that. However, if you look at the case of two circles with radii a, b and distance c between their centers then your derivation would actually lead to|a ± b| = c which makes it very plausible to say the least. |
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