Hi Andrea,

Thank you very much for your reply, using scaleMethod definitely gets us closer 
to the what we need, but there is still a small difference.
What we found to work, is using  this approach:
                <ogc:Div>
                  <ogc:PropertyName>error</ogc:PropertyName>                  
<ogc:Function name="cos">
                    <ogc:Function name="toRadians">
                      <ogc:PropertyName>Lat</ogc:PropertyName>
                    </ogc:Function>
                  </ogc:Function>
                </ogc:Div>But this means we would need to have the values of 
latitude and longitude defined in the shapefile, and we would like to use 
directly the geometry field instead.

I can share a few screen shots if needed.

Cheers,
Corina 

    On Friday, 22 November 2019, 09:10:46 GMT, Andrea Aime 
<[email protected]> wrote:  
 
 On Thu, Nov 21, 2019 at 8:06 PM Jody Garnett <[email protected]> wrote:

Different projects describe a vastly different shape of the world and have 
different distortions of scale (often as you move north south). It looks like 
the two projections you describe cover the UK and and a large section of the 
northern hemisphere respectfully.


The rescaling is done based on the OGC scale denominator, which has simplified 
formulas, in particular, not taking into account the projection local 
deformation.On the other side, it can be computed anywhere and it's mandatory 
for interoperability (see the SLD specification for the method).
On the other side, the geometries get the full deformation of the projection, 
which for the case of 3857 in UK, is already pretty severe (UK area isI believe 
 3 times bigger than it actually is on web mercator*).
The WMS has an option to force a "true scale" computation, see 
https://docs.geoserver.org/latest/en/user/services/wms/vendor.html#scalemethodYou
 can add it to your requests and see if it fixes the problem, but I'm not sure 
if it affects the scale denominator used for rule activation, or it getsused 
all the way through
CheersAndrea
*: you can play with 
https://thetruesize.com/#?borders=1~!MTcyMDU3MzE.NzEyNjY1Mw*MzIzMTM4Nzc(MzA0NjI5OQ~!CONTIGUOUS_US*MTAwMjQwNzU.MjUwMjM1MTc(MTc1)MA~!IN*NTI2NDA1MQ.Nzg2MzQyMQ)MQ~!CN*OTkyMTY5Nw.NzMxNDcwNQ(MjI1)Mg~!GB*NjI4OTc.MTYwMTYwOTQ)Mw
 , try dragging UK to the equator, where there is almost no deformation
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