The ratio of the proton's elastic electromagnetic form factors, G(Ep)/G(Mp)
, was obtained by measuring P-t and P-l, the transverse and the longitudina
l recoil proton polarization, respectively For elastic (e) over right arrow
p --> e (p) over right arrow, G(Ep)/G(Mp) is proportional to P-t/P-l. Simu
ltaneous measurement of P-t and P-l in a polarimeter provides good control
of the systematic uncertainty. The results for the ratio G(Ep)/G(Mp) show a
systematic decrease as Q(2) increases from 0.5 to 3.5 GeV2, indicating for
the first time a definite difference in the spatial distribution of charge
and magnetization currents in the proton.