The geometry of ancient Greece, formalized by Euclid into the famous axiomatic system that we were first introduced to in grade school, began more than two-thousand
years ago with a compass and straightedge. Using these tools and Euclid's first three axioms, the Greeks sought to develop constructions for various geometric objects.
Three of the constructions which eluded them --- (1) squaring a circle, (2) trisecting an angle, and (3) doubling a cube --- were proven to be impossible several hundred
years later, and only through the use of modern algebra. This talk will focus on these proofs of impossibility.
Coffee, Tea, and Cookies!