Yes, this is the intersection of three spheres at known centers A,B,C and
known valid radii AD,BD,CD.
Yes, some of my calculations are redundant, but I included all
possibilities
in favor of a guaranteed solution. I solved the problem with a vengeance.
This answer isn't everything involved in the GPS solution, so I omitted
reference to GPS on my web site.
I made an Excel spreadsheet that automatically calculates the solutions.
Excel sup****ts Linear Algebra operations like MMULT, TRANSPOSE, and
MINVERSE. They are pretty handy! I took Linear Algebra at the University
of Akron in the 1980's and dropped out, but I kept my textbook.
I am supposing that the Least Squares calculation finds a solution even
for
invalid values of AD,BD,CD; instead finds the closest fit.
http://mypeoplepc.com/members/jon8338/math/
----- Original Message -----
From: "Laurence Reeves" <l@[EMAIL PROTECTED]
>
Newsgroups: alt.math,alt.math.recreational,sci.math
Sent: Monday, April 07, 2008 5:47 PM
Subject: Re: Trisection Solution
> hagman wrote:
>> On 7 Apr., 12:21, Laurence Reeves <l...@[EMAIL PROTECTED]
> wrote:
> <general snipage>
>>> I think that the conditions for a solution to exist are simply that
each
>>> of the three triangles formed above ABC must be possible individually.
>>
>> No, this is not enough.
> Acknowledged. My brain wasn't in gear. :)
>
> --
> Lau AS! d-(!) a++ c++++ p++ t+ f-- e++ h+ r--(+) n++(*) i++ P- m++
> ASC Decoder at <http://www32.brinkster.com/ascdecode/>
"Laurence Reeves" <l@[EMAIL PROTECTED]
> wrote in message
news:fcSdnXR6lMX2C2fanZ2dneKdnZydnZ2d@[EMAIL PROTECTED]
> hagman wrote:
>> On 7 Apr., 12:21, Laurence Reeves <l...@[EMAIL PROTECTED]
> wrote:
> <general snipage>
>>> I think that the conditions for a solution to exist are simply that
each
>>> of the three triangles formed above ABC must be possible individually.
>>
>> No, this is not enough.
> Acknowledged. My brain wasn't in gear. :)
>
> --
> Lau AS! d-(!) a++ c++++ p++ t+ f-- e++ h+ r--(+) n++(*) i++ P- m++
> ASC Decoder at <http://www32.brinkster.com/ascdecode/>
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