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Article #4810Re: How do you draw a straight line?
From: John C. Baez
Date: Tue, 06 Oct 1992 17:25
Date: Tue, 06 Oct 1992 17:25
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In article <1992Oct6.121036.15029@sei.cmu.edu> firth@sei.cmu.edu (Robert Firth) writes: >In article <1992Oct6.030213.20215@galois.mit.edu> jbaez@riesz.mit.edu (John C. Baez) writes: > >>The compass is nice because it works straight from the definition of a >>circle, while a ruler, as you note, is not so nice since it does not >>work from the definition of a straight line as the shortest path between >>two points. However, there is a machine that has been built which draws >>straight lines "by definition." Alas, I forget how it works. > >Gee, we did this in school - don't they do it any more? You draw a >straight line by taking a thread covered in chalk dust, and stretching >it between the two points. Then snap the taut thread against the >blackboard to get a chalk line. That "machine" does follow from the >Euclidean definition. Okay, everyone is pointing this out, which is good, but I had in mind an infinitely more complex apparatus that I saw in a book somewhere. The used to make all sorts of mechanical gizmos with wheels and such that allowed one to draw various mathematical curves, and I think someone designed one to draw a straight line. Admittedly silly, but fun. In short, my rules are: make it out of solid hunks of steel (no steel wires).
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Newsgroups: sci.physics,sci.math Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!snorkelwacker.mit.edu!galois!riesz!jbaez From: jbaez@riesz.mit.edu (John C. Baez) Subject: Re: How do you draw a straight line? Message-ID: <1992Oct6.172553.25626@galois.mit.edu> Sender: news@galois.mit.edu Nntp-Posting-Host: riesz Organization: MIT Department of Mathematics, Cambridge, MA References: <1992Oct5.154211.21663@ecrc.de> <1992Oct6.030213.20215@galois.mit.edu> <1992Oct6.121036.15029@sei.cmu.edu> Date: Tue, 6 Oct 92 17:25:53 GMT Lines: 22