Denise,

The Chamberlin Trimetric Projection is an old thematic type of projection cooked
up by the Chief Cartographer of the National Geographic Society back in the late
19th century.  It looks really nice, but is a contrivance that attempts to
display a map with features that are equally distanced from three separate
points.  Such a contrivance is impossible, but Chamberlin's attempt is a pretty
good compromise.  The Society still uses it, and it still looks really nice. 
That is a characteristic of most National Geographic Society Maps; not only are
they accurate and useful, but they are actually framed and put up for display in
people's homes - not just in offices.

One problematic feature of this projection is that after it is drafted,
color-separated and printed, the copyrighted map that is not supposed to be
copied or put into digital form of any kind is downright difficult to digitize. 
That is, it's easy to digitize in terms of digitizer (x,y) coordinates, but the
inverse computation to Latitude and Longitude is a "zinger."  

In the late John P. Snyder's work, "Map Projections - A Working Manual," U.S.
Geological Survey Bulletin 1395, he lists it in two places in the index.  The
first time he covers it is in the section on pseudo conics, and specifically the
ellipsoidal Bonne, the second time he mentions it in another context of
contrived projections that give a hint.  The old AT&T projection is, according
to Mr. Snyder, an ellipsoidal projection that is roughly equivalent to the
Chamberlin Trimetric.  Although obscure, the math for that can be scrounged from
old Bell Labs reports occasionally found in various libraries.  

The old cartographic trick of "paneling" for changing projections with a razor
blade and paste could be used with a rubber-sheet transformation, but that is
using brute force rather than mathematical elegance.

Another thing you could do is go to the horse's mouth.  Ask the National
Geographic Society and see what they have to say.  I imagine they are going to
ask you why you want to know the mathematical details of one of THEIR
projections ...

Specifically with respect to MapInfo, I have no idea how to help you.  My claim
to fame is definitely NOT specific software commands or procedures.

Good luck,

-- 
Clifford J. Mugnier ([EMAIL PROTECTED])
The Topographic Engineering Laboratory
Department of Civil and Environmental Engineering
UNIVERSITY OF NEW ORLEANS
New Orleans, Louisiana  70148

Voice and Facsimile: (504) 280-7095
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Denise wrote:
> 
> Hi
> 
> I have seem numerous posts of yours on Mapinfo-L and
> am hoping you can help me with information on this
> projection. I have MapInfo, but it does not seem to
> support this projection.  Do you know how I would
> go about finding more information on this projection
> and then how I would use such info in MapInfo?
> 
> Denise
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