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May 22nd, 2011, 12:09 PM   #1
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Known locus?

Hi,

Given two segments [AB] and [CD], I would like to know what is the locus of all points O, such that the angles AB and CD are equal.

I explored the question with Geogebra and the results looked quite complicated.

Does anybody know if these loci are known, and if so, under what name I could find more information about them?

Thanks in advance!
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