ughaibu Posted June 9, 2007 Report Posted June 9, 2007 There are said to be only five quadrable lunes and that this was proved in 1994 by Tschebatorew and Dorodnow. However, a couple of posts here: Math Forum Discussions and Math Forum Discussions suggest that this proof is unsatisfactory. I cant find this proof online, and it sounds as if I wouldn't understand it in any case, does anyone know the proof and have an opinion about it? Further, this site: The Five Squarable Lunes gives what looks to me suspiciously like a fairly simple proof, however, I cant figure out the notation, never mind the logic. What am I missing? Quote
ughaibu Posted June 9, 2007 Author Report Posted June 9, 2007 A lune is the figure bounded by arcs of two intersecting circles with differing radii. Quote
ughaibu Posted June 10, 2007 Author Report Posted June 10, 2007 The article linked to in my second paragraph was giving me problems as my computer was converting somethings into Japanese characters of it's own choice. Having overcome this, the thing looks straight forward enough and doesn't seem to constitute a proof. Any views about the approach used in this article as the basis for a proof? Quote
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