Collapsible CompassDate: 01/23/2002 at 12:12:48 From: Shane Hecox Subject: Collapsible compass My question is: How did the early Greek mathematicians reproduce lengths with a collapsible compass? I can't find any information on how they did this. All I find are statements saying that when the compass is picked up it acts as if it collapses. Date: 01/23/2002 at 12:26:55 From: Doctor Wilkinson Subject: Re: Collapsible compass This is an excellent question, Shane! This construction is Proposition 2 of Euclid's _Elements_ and is as beautiful today as it was 2500 years ago. You can look at it at: Book I, Proposition 2 (Euclid's Elements - David Joyce) http://aleph0.clarku.edu/~djoyce/java/elements/bookI/propI2.html - Doctor Wilkinson, The Math Forum http://mathforum.org/dr.math/ |
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