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Article #4770Re: How do you draw a straight line?
From: Chris Gill
Date: Tue, 06 Oct 1992 09:32
Date: Tue, 06 Oct 1992 09:32
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In article <1992Oct6.030213.20215@galois.mit.edu> jbaez@riesz.mit.edu (John C. Baez) writes: >In article <1992Oct5.154211.21663@ecrc.de> micha@ecrc.de writes: >>In article 24242@access.usask.ca, choy@skorpio.usask.ca (I am a terminator.) writes: >>>How do you know that the line you draw is really straight? What >>>defines straightness? >> >>This is something I've been wondering about since a long time. Although we can >>make a circle as precise as we want, I think we cannot make a really >>precise straight line >> >> [...] >> IMHO there is no >>process to create a straight line directly. Or is it? > >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. > > [...] I'm sure this isn't what you were thinking of, but out in our garden, we often make straight lines based directly upon the geodesic principle. That is, we take a piece of string, and stretch it, so that it takes the shortest path between the two points. Not very high tech, but it seems to work well enough for the garden, and I would imagine the basic technique could be improved to give the sort of thing you were asking about. Chris. -- Chris Gill, Postgraduate Group Theorist Department of Mathematics, University of Nottingham, UK.
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Path: arc1-ca.pugleaf.net!sparky!uunet!olivea!spool.mu.edu!agate!doc.ic.ac.uk!uknet!keele!nott-cs!piaggio!cpg From: cpg@maths.nott.ac.uk (Chris Gill) Newsgroups: sci.physics,sci.math Subject: Re: How do you draw a straight line? Message-ID: <1992Oct6.093207.2712@maths.nott.ac.uk> Date: 6 Oct 92 09:32:07 GMT References: <1992Oct2.224220.24242@access.usask.ca> <1992Oct5.154211.21663@ecrc.de> <1992Oct6.030213.20215@galois.mit.edu> Reply-To: cpg@maths.nott.ac.uk (Chris Gill) Organization: Maths Dept., Nott'm Univ., UK. Lines: 34