The example image of NA looks like it's probably an azimuthal projection though I may be wrong. If so, it could be in Stereographic, Lambert Azimuthal Equal Area, or Equidistant Azimuthal. The Google Earth image is either Orthographic, or a perspective projection close to it (bbth also azimuthal projections)

For an azimuthal projection, you would select a point of tangency at roughly the centre of the continent. Set up the projection software and then crop the result to a rectangle.