  We establish a uniformization result for metric surfaces - metric spaces that
are topological surfaces with locally finite Hausdorff 2-measure.
  Using the geometric definition of quasiconformality, we show that a metric
surface that can be covered by quasiconformal images of Euclidean domains is
quasiconformally equivalent to a Riemannian surface. To prove this, we
construct suitable isothermal coordinates.
