We apply Euclidean time methods to phenomenological Dyson-Schwinger mo
dels of hadrons. By performing a Fourier transform of the momentum spa
ce correlation function to Euclidean time and by taking the large Eucl
idean time limit, we project onto the lightest on-mass-shell hadron fo
r given quantum numbers. The procedure, which actually resembles latti
ce gauge theory methods, allows the extraction of moments of structure
functions, moments of light-cone wave functions, and form factors wit
hout nd hoc extrapolations to the on-mass-shell points. We demonstrate
the practicality of the procedure with the example of the pion form f
actor.