  The results of a measurement of the proton structure function F_2(x,Q^2)and
the virtual photon-proton cross section are reported for momentum transfers
squared Q^2 between 0.35 GeV^2 and 3.5 GeV^2 and for Bjorken-x values down to 6
10^{-6} using data collected by the HERA experiment H1 in 1995. The data
represent an increase in kinematic reach to lower x and Q^2 values of about a
factor of 5 compared to previous H1 measurements. Including measurements from
fixed target experiments the rise of F_2 with decreasing x is found to be less
steep for the lowest Q^2 values measured. Phenomenological models at low Q^2
are compared with the data.
