JT
Posts:
1,267
Registered:
4/7/12


Re: Can a fraction have none noneending and nonerepeating decimal representation?
Posted:
Jul 31, 2013 8:45 PM


Den torsdagen den 1:e augusti 2013 kl. 02:39:01 UTC+2 skrev jonas.t...@gmail.com: > Den torsdagen den 1:e augusti 2013 kl. 02:32:55 UTC+2 skrev Zeit Geist: > > > > I must ask you, you do realise that for any polygon the perimeter do have a closed rational form relative the radius? > > > > > > > > > > > > So, if r is the radius and s is the side, then there is a rational, q, > > > > > > such that r = s * q, for any ngon (polygon)? > > > > > > > > > > > > For example if n = 6, then q = 1. > > > > > > > > > > > > Now, if n = 7 then that is surely false, for sin(360/7) is surely irrational. > > > > > > > > > > > > ZG > > > > Well you know i did intend for any multiple of 3 (6/2), but it is true for any prime multiple. You just find the common primeproduct of x*3 and you can work out the starting fractional relation to the radius from there. > > > > Don't you agree?
What i try to say is that there is a perimeter to radius ratio for any polygon regardless number of vertices. It can be found using pythagoras, and it is always a rational number.

