quasi
Posts:
12,023
Registered:
7/15/05


Re: rational ngon inscribed in a unit circle
Posted:
Dec 12, 2013 6:59 AM


A possible fix for conjecture (4):
Conjecture (4) [revision 2]:
If a rational quadrilateral with pairwise distinct edge lengths is inscribed in a unit circle, then either
d = 2
or
a^2 + b^2 = 4 and c^2 + d^2 = 4
for some permutation a,b,c,d of the edge lengths.
Remarks:
The latest revision was done quickly, so may not be right just yet, but at least it survived a light data test.
quasi

