Using data samples collected with the BESIII detector at the BEPCII collider, we measure the Born cross section of at 12 center-of-mass energies from 2232.4 to 3671.0 MeV. The corresponding effective electromagnetic form factor of the proton is deduced under the assumption that the electric and magnetic form factors are equal . In addition, the ratio of electric to magnetic form factors, , and are extracted by fitting the polar angle distribution of the proton for the data samples with larger statistics, namely at 2232.4 and 2400.0 MeV and a combined sample at = 3050.0, 3060.0 and 3080.0 MeV, respectively. The measured cross sections are in agreement with recent results from BaBar, improving the overall uncertainty by about 30%. The ratios are close to unity and consistent with BaBar results in the same region, which indicates the data are consistent with the assumption that within uncertainties.

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