Re: MI what is Bonne projection?

2000-01-14 Thread William De Genst

Bonne's projection is a pseudoconical equal-area projection. The 
meridians are represented by concurrent curves, the parallels by 
concentric arcs of circles. The centre of the projection is defined as 
the intersection of a straight central meridian with a central parallel 
of length r0 = R*tan(90-lat0), where lat0 is the latitude of the central 
parallel. The parallels are correctly spaced along the central meridian 
and represented in correct length (which gives the projection the 
equal-area property). Transformation formulae:

x = r*sin(T)
y = R*cot(lat0) - r*cos(T)

where

T = R*longit*cos(latit) / r

r = R[cot(lat0) - (latit - lat0)]

lat0 is the latitude of the central parallel.
R is the radius of the generating globe.

(setting the equator as central parallel yields sanson's sinusoidal 
projection).

For more information see for example:
Canters, F. and H. Decleir, 1989, The world in perspective: a directory 
of world map projections, John WileySons, Chichester.



___
William De Genst
Centre for Cartography and GIS
Department of Geography
Brussels Free University V.U.B.
Pleinlaan 2
B-1050 Brussels
BELGIUM
Tel: ++ 32-2-629.35.56
Fax: ++ 32-2-629.33.78
http://www.vub.ac.be/DGGF
___

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RE: MI what is Bonne projection?

2000-01-14 Thread Clifford J. Mugnier

Rajeev,

I noticed the other answers you have received on the list 
so far, and they are correct to a point.  Within the 
apparent context of your question about a projection found 
in an atlas, you have your answer.

However, in 19th century Europe and early to middle 20th 
century Middle East (and most French colonies), the Bonne 
Projection means something quite different.  When working 
with Geodetic Grid systems it is an ellipsoidal 
implementation that is NOT the same as using the spherical 
equations.  Geographers will occasionally use ellipsoidal 
Authalic latitude in thematic applications with the 
spherical equations.  (See the late Prof. Karl Rinner in 
"Zeitschritt der Vermessungswessen," back in 1932 - I 
forgot which issue.)

The February, 2000 issue of "Photogrammetric Engineering 
and Remote Sensing" will feature my column on Grids and 
Datums for the Republic of Madagascar.  In that, I discuss 
the Bonne projection as used in Madagascar and why General 
Jean Laborde hated it for geodetic work.  You can find 
other countries in past issues of my column at:

http://www.asprs.org/resources.html

If MI supports it, I would expect it to be the thematic 
spherical implementation and NOT the special ellipsoidal 
power series once used for geodetic National Grid systems.

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 Facsimilie: (504) 280-7095

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 Facsimilie: (504) 280-7095
  
-
On Sunday, 16 January, 2000 10:29 AM, Dr Rajeev saraf 
[SMTP:[EMAIL PROTECTED]] wrote:
 Hi:
 has any body heard of bonne projection. i came across it
 in  an atlas. does mi support it. if so, which option in
 projection file would do it.
 --
 rajeev saraf
   File: ATT00032.html  
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RE: MI what is Bonne projection?

2000-01-14 Thread Wade Cothran (EUS)

BONNE Projection is in the family of Conic Projections.  It is classified as
a pseudoconic, equal area projection.  Its central meridian is a straight
line, all other meridians are complex curves. Scale is true at the CM and
along each parallel.  For details, history, usage, formulae, etc., refer to
USGS Professional Paper 1395, 'Map Projections - A Working Manual' by John
P. Snyder.  
 
[EMAIL PROTECTED] mailto:[EMAIL PROTECTED] 

-Original Message-
From: Dr Rajeev saraf [mailto:[EMAIL PROTECTED]]
Sent: Sunday, January 16, 2000 11:29 AM
To: [EMAIL PROTECTED]
Subject: MI what is Bonne projection?


Hi:
has any body heard of bonne projection. i came across it in  an atlas. does
mi support it. if so, which option in projection file would do it.
--
rajeev saraf


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MI what is Bonne projection?

2000-01-13 Thread Dr Rajeev saraf




Hi:
has any body heard of bonne projection. i came 
across it in an atlas. does mi support it. if so, which option in 
projection file would do it.
--
rajeev saraf