To reproject layers (in the project CRS) you have to enable "enable on the fly reprojection" in the project properties.
Raster reprojection works only since qgis 1.7
With your project open, press ctrl+shift+'p'
to open the project properties dialog. Check the box that reads "Enable 'on the fly' CRS transformation":
Your Gauss-Krueger projection uses +datum=potsdam
. Up to 2012, this was hard coded in proj4 to a very unprecise value using a 3-parameter-transformation.
You find more exact values for 7-parameter transformations in this topic:
http://forum.openstreetmap.org/viewtopic.php?id=12723
There is an even better ntv2-grid transformation available here (take the binary), that has to be in the same folder as your application and data, unlsss you specify full pathnames.
To compare the different possible values, I made this test batch file:
echo epsg31467-epsg4326 >out.txt
cs2cs +init=epsg:31467 +to +init=epsg:4326 31467.txt >>out.txt
echo proj-Definition epsg >>out.txt
cs2cs +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +datum=potsdam +units=m +no_defs +to +init=epsg:4326 31467.txt >>out.txt
echo proj-definition Qgis >>out.txt
cs2cs +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +towgs84=582,105,414,1.04,0.35,-3.08,8.3 +units=m +no_defs +to +init=epsg:4326 31467.txt >>out.txt
echo proj-definition nadgrid >>out.txt
cs2cs +proj=tmerc +lat_0=0 +lon_0=9 +x_0=3500000 +y_0=0 +k=1.000000 +ellps=bessel +units=m +nadgrids=./BETA2007.gsb +wktext +to +init=epsg:4326 31467.txt >>out.txt
echo epsg31467-epsg3785 >>out.txt
cs2cs +init=epsg:31467 +to +init=epsg:3785 31467.txt >>out.txt
echo proj-definition Qgis >>out.txt
cs2cs +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +towgs84=582,105,414,1.04,0.35,-3.08,8.3 +units=m +no_defs +to +init=epsg:3785 31467.txt >>out.txt
echo proj-definition nadgrid >>out.txt
cs2cs +proj=tmerc +lat_0=0 +lon_0=9 +x_0=3500000 +y_0=0 +k=1.000000 +ellps=bessel +units=m +nadgrids=./BETA2007.gsb +wktext +to +init=epsg:3785 31467.txt >>out.txt
echo epsg31467-epsg3857 >>out.txt
cs2cs +init=epsg:31467 +to +init=epsg:3857 31467.txt >>out.txt
echo proj-definition Qgis >>out.txt
cs2cs +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +towgs84=582,105,414,1.04,0.35,-3.08,8.3 +units=m +no_defs +to +init=epsg:3857 31467.txt >>out.txt
echo epsg31467-epsg900913 >>out.txt
cs2cs +init=epsg:31467 +to +init=epsg:900913 31467.txt >>out.txt
echo epsg31467-proj900913 >>out.txt
cs2cs +init=epsg:31467 +to +proj=merc +a=6378137 +b=6378137 +lat_ts=0.0 +lon_0=0.0 +x_0=0.0 +y_0=0 +k=1.0 +units=m +nadgrids=@null +wktext +over +no_defs 31467.txt >>out.txt
echo proj31467-proj900913 >>out.txt
cs2cs +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +towgs84=582,105,414,1.04,0.35,-3.08,8.3 +units=m +no_defs +to +proj=merc +a=6378137 +b=6378137 +lat_ts=0.0 +lon_0=0.0 +x_0=0.0 +y_0=0 +k=1.0 +units=m +nadgrids=@null +wktext +over +no_defs 31467.txt >>out.txt
with any sample Gauss-Krüger lon-lat coordinate pair in 31467.txt
Best Answer
You can create a function to find the utm zone for the centroid of the lat, long point then project to that zone and calculate area. I think it should work worldwide