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From: tan@ihlpg.UUCP (Bill Tanenbaum)
Newsgroups: net.puzzle
Subject: Re: A New Trigonometrical puzzle.(Partial Spoiler)
Message-ID: <1691@ihlpg.UUCP>
Date: Sat, 8-Mar-86 02:00:55 EST
Article-I.D.: ihlpg.1691
Posted: Sat Mar  8 02:00:55 1986
Date-Received: Sun, 9-Mar-86 00:13:13 EST
References: <35@rtgvax.UUCP>
Organization: AT&T Bell Laboratories
Lines: 19

> 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 have seen the above as a (Euclidean) geometry theorem, not a
trig problem.  As such, it is called Morley's Theorem, and there
is a geometric proof.  Unfortunately, I don't know the details.
The proof is not simple.
-- 
Bill Tanenbaum - AT&T Bell Labs - Naperville IL  ihnp4!ihlpg!tan