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According to http://www.cut-the-knot.org/triangle/TriangleFromBisectors.shtml it is impossible to construct a triangle from the lengths of its angle bisectors. Is there a more comprehensive account of this problem and its history other than the thesis referenced in the page? Are there any other problems which are similar to this one? (in the sense of showing that something involving angle bisectors is non-constructible)

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    I'd tag this as reference-request.2011-07-12

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