Tuesday, March 18, 2008

Trisecting an Angle

Achilles can catch a turtle.

He can also trisect an angle -- all it takes is infinite iterations.

As iterations -> infinity, then angle -> trisection.

A nice application of the theory of limits and a solution to one of Euclid's three unsolvable problems.

I figured out the essence of it in eighth grade. Having just read, again, that it isn't possible, I thought I'd say something.

Otherwise, I did enjoy Why Beauty Is Truth: A History of Symmetry.

Why Beauty Is Truth: A History of Symmetry

1 comment:

T.Douglas Robbins Esq. said...

A lot of that made my face melt in glory-awe, but that sounds like an amazing book. Once I read the 100+ books I have but only begin (thanks ADHD...), I will have to give it a shot.