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Article #714Re: Triangulation Problem
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Date: Sun, 28 Jan 1996 00:00
Date: Sun, 28 Jan 1996 00:00
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1677 bytes
techie@io.org (david hoare) wrote: >I am looking for the trigonometric / algebreic formulae one would use >to triangulate an unknown position, knowing 3 fixed points and the >respective distances to the unknown point. (make sence?) >Oh - in 3 dimensional space. >And actually, the reverse operations would be handy too...ie: given a >known central point, AND 3 other fixed points, how to find the lengths >of the lines required to meet at that first point, in 3D. Well, since distances are always positive, you won't just get one answer... Because the point could exist on either side of the plane, right? Sounds like a basic locus question to me though. (x-x1)^2+(y-y1)^2+(z-z1)^2=(x-x2)^2+(y-y2)^2+(z-z2)^2=(x-x3)^2+(y-y3)^2+(z-z3)^2 and solve... - Executioner/[Independent] ------====### legal notice ###====-------------------------------------------- Microsoft(tm) Network is prohibited from redistributing this work in any form, either in whole or in part. License to distribute this posting is available to Microsoft(tm) for (US)$100.00. Posting without prior permission constitutes an agreement to these terms. Site license is available for (US)$10,000,000,000.00 PGP Signature: 67 35 1F 85 34 3D ED CC FD 87 01 22 A5 47 31 EA Key available on request.
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f7972,8d2d69518e49bbf X-Google-Attributes: gidf7972,public From: 0@0.0 Subject: Re: Triangulation Problem Date: 1996/01/28 Message-ID: <4egi3o$cq4@cliff.island.net> X-Deja-AN: 136868175 references: <4dgoj8$gli@ionews.io.org> organization: Island Internet Inc. - (604) 753-2383 newsgroups: can.schoolnet.math.sr