Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.3 alpha 4/15/85; site rtgvax.UUCP Path: utzoo!watmath!clyde!burl!ulysses!gamma!epsilon!zeta!sabre!petrus!bellcore!decvax!decwrl!amdcad!cae780!leadsv!rtgvax!smjw From: smjw@rtgvax.UUCP (steve winters) Newsgroups: net.puzzle Subject: A New Trigonometrical puzzle. Message-ID: <35@rtgvax.UUCP> Date: Tue, 4-Mar-86 20:16:33 EST Article-I.D.: rtgvax.35 Posted: Tue Mar 4 20:16:33 1986 Date-Received: Fri, 7-Mar-86 07:39:50 EST Organization: Systems Control, Palo Alto, CA Lines: 17 Here is a puzzle I was told about many years ago but have not seen since. I have not been able to solve it so am not sure it can be. Take any triangle and trisect its internal angles. The points at which the trisecting lines first intersect each other form another triangle. Prove that that triangle is alway equilateral. I would be very grateful to anyone who can simply prove (or disprove) the above statement. Steve Winters. (I seem to be having this tremendous difficulty with my lifestyle)