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Article #714

Re: Triangulation Problem

#714
From: 0
Date: Sun, 28 Jan 1996 00:00
27 lines
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]
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From: 0@0.0
Subject: Re: Triangulation Problem
Date: 1996/01/28
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