From: Ash Morgan
Subject: Re: Triangulation Problem
To: rusin@math.niu.edu (Dave Rusin)
Date: Fri, 31 Mar 1995 12:06:07 -0800 (PST)
Dave--
Thanks for all your help on the problem. I followed your
construction and I think everything checks out how you typed it.
The purpose for finding the coordinates is for my robotics
research. A robot will be placed inside a triangle with IR beacons
at each vertex. The robot will have a servo motor mounted on top
and can sense when it's pointing at the IR beacons. From this we
can measure the inside angles which you called a and b. From that
information I need to calculate the coordinates of the robot so I
can use that information in mapping and navigation.
When I had first attempted the problem I came very close to your
solution. I knew that the angles should uniquely determine your
place in the triangle, so I decided to hold one angle constant and
see what path it would trace. However, I thought the path was more
parabolic than circular and the form I had the equation in which
described the curve was not recognizable as a circle. Anyway,
thanks again for your help.
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Ash
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