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Posted by Kaimbridge on March 14, 2008, 1:21 pm


Transverse means perpendicular or "crosswise"...but to what?
For an ellipse, the minor axis, "b", is considered the conjugate axis
and the major axis, "a", is the transverse axis.
Does that mean conjugate is what transverse is transverse to----i.e.,
the base perspective?
Would the same apply to graticules?
In particular, would the geographic coordinates be considered
coordinates of the conjugate graticule (as opposed to the transverse
coordinates, which compose the transverse graticule)?

~Kaimbridge~

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Posted by Roy A. Fletcher on March 14, 2008, 5:14 pm


Kaimbridge (Kaimbridge@gmail.com) wrote:
with editing...
: Transverse means perpendicular or "crosswise"...but to what?
: For an ellipse, the minor axis, "b", is considered the conjugate axis
: and the major axis, "a", is the transverse axis.
: Does that mean conjugate is what transverse is transverse to----i.e.,
: the base perspective?
: Would the same apply to graticules?
: In particular, would the geographic coordinates be considered
: coordinates of the conjugate graticule (as opposed to the transverse
: coordinates, which compose the transverse graticule)?

and when you've resolved that incongruity :
a point in an equation where there is only a single solution
is a point of non-singularity.
a point where there is either no solution or infinitely many
solutions is? a point of singularity, of course.

Regards.                RAF

Posted by Kaimbridge on March 21, 2008, 11:17 am


On Mar 14, 10:14 pm, uy...@vtn1.victoria.tc.ca (Roy A. Fletcher)
wrote:
> Kaimbridge (Kaimbri...@gmail.com) wrote:
> with editing...
> : Transverse means perpendicular or "crosswise"...but to what?
> : For an ellipse, the minor axis, "b", is considered the conjugate axis
> : and the major axis, "a", is the transverse axis.
> : Does that mean conjugate is what transverse is transverse to----i.e.,
> : the base perspective?
> : Would the same apply to graticules?
> : In particular, would the geographic coordinates be considered
> : coordinates of the conjugate graticule (as opposed to the transverse
> : coordinates, which compose the transverse graticule)?
> and when you've resolved that incongruity :
> a point in an equation where there is only a single solution
> is a point of non-singularity.
> a point where there is either no solution or infinitely many
> solutions is? a point of singularity, of course.
> Regards. RAF

So the answer to my question is...?

~Kaimbridge~

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Wikipedia--Contributor Home Page:

http://en.wikipedia.org/wiki/User:Kaimbridge

***** Void Where Permitted; Limit 0 Per Customer. *****

Posted by Roy A. Fletcher on March 22, 2008, 3:55 pm


Kaimbridge (Kaimbridge@gmail.com) wrote:
with editing...
: So the answer to my question is...?

Post this question to sci.engr.surveying.
Cliff Mugnier occasionally posts there.
He writes a column on projections for PE&RS
and teaches surveying engineering at Loiusiana
State U.
I graduated in SE many years ago, but they changed
my program to geomatics engineering so now I don't
know nuthin'.

I have routines to examine the indicatrix of Tissot
(a fancy name for small circles). They're all written
in APL but need coords from both the geographical
and projection. They do eigenanalysis to extract
the values and vectors, but this is a strictly
local numerical analysis. It will not answer a general
question such as you pose about the graticule.

Regards.                RAF