quasi
Posts:
12,018
Registered:
7/15/05


Re: rational ngon inscribed in a unit circle
Posted:
Dec 13, 2013 12:16 AM


Space998 wrote: > >trilateral is trivial, just using trilateral inequality >on rational lengths;
All of my conjectures focused on the case where n > 3.
However the case n = 3, while fairly elementary, is not as trivial as you seem to think.
It seems you're ignoring the specification that the rational triangle is required to have circumradius 1.
>aside from pythagorean trigona, there are "pre and >postpythagorean ones, with sixty & hundredtwenty angle
There are _no_ rational triangles with circumradius 1 having an angle of 60 or 120 degrees.
quasi

