A Proof of Morley's Theorem (from the Devil's book)

by Shalosh B. Ekhad

In a Temple Seminar (Spring 1995), Don Newman gave a beautiful proof of Morley's trisection theorem that is probably in God's book. However, Satan's worshipers might enjoy the present proof.

.tex version

.dvi version (for previewing)

.ps version

.pdf version

Note Added Sept. 9, 1997: Gian-Carlo Rota (``Indiscrete Thoughts'', p. 123) uses Morley's theorem as an example of a theorem whose statement is surprising, but neither its statement, nor any of its known proofs, are beautiful. I disagree. The statement is beautiful, and both Ekhad's and Newman's proofs are gorgeous (in different senses).

Note Added Feb. 17, 1998: Kathy Jensen, a student of W. Edwin Clark at University of Southern Florida, found a typo in a previous version. We thank her. See Clark's message.

Back to: