From: israel@math.ubc.ca (Robert Israel)
Newsgroups: sci.math
Subject: Re: quinque-section of an angle
Date: 21 Jan 1997 08:29:38 GMT

In article <5c0nmh$906@freenet-news.carleton.ca>,
Angel Garcia <bp887@FreeNet.Carleton.CA> wrote:

>Angel Garcia (bp887@FreeNet.Carleton.CA) writes:
 
>>     Given an arbitrary angle to find its exact 5th. part.
 
>> Any constructions for it ?

>I am looking for something like the dozens of ingenuous TRISECTIONS
>invented along millennia: cisoid, Archimedes, etc..

The quadratix, invented by Hippias ca. 425 BC, can be used to multisect
angles, i.e. divide by n for any n > 1.  See Eves, An Introduction to the 
History of Mathematics (6th edition), exercise 4.10.

Robert Israel                            israel@math.ubc.ca
Department of Mathematics             (604) 822-3629
University of British Columbia            fax 822-6074
Vancouver, BC, Canada V6T 1Y4