Is it possible to divide a circumference 360 shares using only ruler and compass? That is, the former (ancients) did so (like this) ? To my knowledge it is possible through exact processes divide it into 2,4,8 …. 3,6,12,24 … or 5,10,20,40..then, how? if it's impossible, trisect (divide in 3) an angle in equal parts using only ruler and compass, for what I know 360 has 3 as a divisor..so is it possible ?
[Math] Geometry ( dividing a circumference in 360 equal parts)
geometry
Best Answer
If you allow neusis see https://en.m.wikipedia.org/wiki/Angle_trisection you can trisect angles. Drawing a regular pentagon by ruler and compass is no problem, and likewise you can bisect angles.