I have two files with identical projections/CRS. Using both OTF on & off I cannot get them to overlap: one shapefile contains coastal polygons of Massachusetts, and the other shapefile contains coastal lines for MA.
+proj=laea +lat_0=45 +lon_0=-100 +x_0=0 +y_0=0 +a=6370997 +b=6370997 +units=m +no_defs +proj=laea +lat_0=45 +lon_0=-100 +x_0=0 +y_0=0 +a=6370997 +b=6370997 +units=m +no_defs
however the extents are
xMin,yMin 2321544.64,258328.06 : xMax,yMax 2333464.74,277553.12
xMin,yMin -176.685,17.9108 : xMax,yMax -65.2246,71.3413
I've followed the steps in http://qgis.spatialthoughts.com/2012/04/tutorial-working-with-projections-in.html , tried with OTF turned on & off: the layers still do not overlap.
I've saved the MA coast line SHP ( Layer > save as ) using each of the
Project CRS and
Selected CRS options: the extent remains the same. As far as I can tell, the chosen projection (EPSG:2163) is a PCS, not a GCS.