Solving the Three Ancient Problems using the Graef Curves by Edward V. Graef
Approx. 5,310 words.
Published on September 25, 2011 by
Three Ancient Problems (trisecting the angle, squaring the circle, duplicating the cube) have challenged mathematicians for 2000 years. It's impossible to solve them using compass and straightedge alone, so mathematicians were challenged to create a curve or curve family to solve all three. No one accomplished this feat--until Graef. His curves were verified/published in top math publications.