[Proj] A bit of help with French, por favor.
Gerald I. Evenden
geraldi.evenden at gmail.com
Fri Jun 20 22:38:46 EDT 2008
On Friday 20 June 2008 1:41 pm, OvV_HN wrote:
> This has been discussed earlier in the case of the French Laborde
> projections.
> (I have currently no access to my files or emails, so from memory...)
> If I remember correctly, the libproj stmerc projection was the same as one
> of the 3 French (IGN) Laborde projections.
Yes, I dug out that old allegation also but I am somewhat skeptical. At the
moment I cannot get stmerc to replicate the example numbers in NTG-73.
By using the proj_gauss function the double projection is like falling off a
log and the code makes it obvious that stmerc is using the spherical
transverse Mercator formulas. But the NTG-73 procedure is of the old school
and the formulas are intertwined and it is unclear the nature of the final
spherical formula.
Unlike the transverse Mercators we are used where h=k=1 along the CM, stmerc
has only one point at the projection origin where h=k=1.
I am also doubtful that Schreiber is the correct designation.
> I assume that these projections are double projections and work with an
> intermediate sphere.
> The sphère de courbure has an intermediate sphere with a radius equal to
> the radius of curvature at the touching point - or something like that. The
> sphère équatorial has a radius equal to the semi-major (equatorial) axis of
> the ellipsoid.
> The sphère bitangente touches the ellipsoid twice, I guess. Don't ask me
> where, but this could give a clue looking at the formulae.
> See:
> http://www.ign.fr/rubrique.asp?rbr_id=1700&lng_id=FR#68096
> and NT/G 73 for the French Laborde projection formulae.
> Hope this will help.
...
--
The whole religious complexion of the modern world is due
to the absence from Jerusalem of a lunatic asylum.
-- Havelock Ellis (1859-1939) British psychologist
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