The "myth" has always been in your brain not in the mathematics. In 6th grade it was obvious to me that constructing a regular hexagon with a compass was a triviality (and understood the trivial underlying mathematics) but had already observed that, if I really wanted a regular hexagon, not a cute construction were the final arc never hits the starting point, I should use a protractor. It's the proof that matters and, even more so, that the regular septagon can NOT be so constructed, not some Easter Bunny in your head. Why persist in embarrassing yourself?
At 04:16 PM 8/18/2013, Jonathan Crabtree wrote: >"Although they make use of the visible forms and reason about them, >they are not thinking of these, but of the ideals which they >resemble, not the figures which they draw..." > >So in conclusion, the myth is busted and my relationship with Euclid >is now merely Platonic. > >Jonathan Crabtree >Mathematics Researcher >Melbourne Australia >(Currently over at http://bit.ly/Vrrx9Q)