Monday, December 7, 2009

Fox 202

This kinda supports Red Fox' claim that every rational fraction is reachable
with simple unique configurations like the above one.
So one down {infinite minus one} to go!


  1. The two inclined tangents to the circle and the vertical tangent together make an isosceles triangle, the base of which is assumed to be 2a. Hence diameter of the circle = √3a. If Φ be the base angle of this isosceles triangle then tan(Φ/2)=(√3a)/2a=√3/2 and tan(Φ)= 2(√3/2)/(1- 3/4)= 4√3 or tan(Ω/2)= 1/(4√3). This gives us (sec(Ω/2))^2 =1+1/(16*3)=49/48 or cos(Ω/2)=√(48/49). So cos(Ω)= 2(48/49)-1= 47/49, Option A