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Article #67Re: curve
From: Remco de Korte
Date: Sat, 22 Aug 1998 00:00
Date: Sat, 22 Aug 1998 00:00
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nospams@sorry.com wrote: > > On Sat, 22 Aug 1998 10:01:26 +0200, Remco de Korte > <remcodek@xs4all.nl> wrote: > > >My problem is this: > > > >I have two points which can move more or less free on a plane. I want > a > >line (curve) connecting these points to have a constant length (that > >should restrict the movement). How can I find this line? I'd like to > >find some way to describe the curve, with some sine/cosine-functions > so > >that I can use it in a programme I'm writing. > > It would appear that you are looking for the following?: > > Let one point be in any arbitrary position, (h,k) coordinates. Then > the other point can be arbitrarily anywhere on the circle about (h,k) > which is described by (x-h)^2 + (y-k)^2 = r^2, where "r" is the length > of the rod. The "line" you seem to refer to is the radius of this > circle? ...or am I missing something? > > Since this is arbitrary, there is no real "curve" describing the > position. Any motion would depend upon the initial conditions. No, that's not what I mean. It's a bit hard for me to explain as English is not my native language and I am no mathematician so I don't know the exact words. Here's a second try and my idea of a way to find a solution: two points can move relative to eachother, as if they're connected with a tube. This tube won't stretch, but it may bend, while it's length is constant. I want to know a way to describe the curve of this tube. The way I see it is that if you know the length of the 'tube' (which you may assume) and the coordinates of the points (which are variable) you must find a circle throught the two points where the part of the circle between thos points is equal to the length of the tube. Problem is, I even forgot how to calculate the length of a circle-segment.... Regards, Remco de Korte
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 109d8a,4551c9df67d75bc2 X-Google-Attributes: gid109d8a,public X-Google-Thread: 1130d6,4551c9df67d75bc2 X-Google-Attributes: gid1130d6,public X-Google-Thread: 10d67e,4551c9df67d75bc2 X-Google-Attributes: gid10d67e,public X-Google-Thread: 1077c2,4551c9df67d75bc2 X-Google-Attributes: gid1077c2,public From: Remco de Korte <remcodek@xs4all.nl> Subject: Re: curve Date: 1998/08/22 Message-ID: <35DED085.BF8D697A@xs4all.nl> X-Deja-AN: 383642800 X-NNTP-Posting-Host: dc2-modem1316.dial.xs4all.nl [194.109.133.36] Content-Transfer-Encoding: 7bit References: <35DE7AD6.987CA217@xs4all.nl> <35de7bb4.1339749@news.datacom.ca> X-Priority: 3 (Normal) X-XS4ALL-Date: Sat, 22 Aug 1998 16:10:52 CEST Content-Type: text/plain; charset=us-ascii Organization: Soft Machine Mime-Version: 1.0 Newsgroups: alt.uu.math.misc,aus.mathematics,sci.math,alt.math.recreational