[en] We present a four-point probe resistance measurement technique which uses four equivalent current measuring units, resulting in minimal hardware requirements and corresponding sources of noise. Local sample potentials are measured by a software feedback loop which adjusts the corresponding tip voltage such that no current flows to the sample. The resulting tip voltage is then equivalent to the sample potential at the tip position. We implement this measurement method into a multi-tip scanning tunneling microscope setup such that potentials can also be measured in tunneling contact, allowing in principle truly non-invasive four-probe measurements. The resulting measurement capabilities are demonstrated for $\mathrm{B}\mathrm{i}\mathrm{S}\mathrm{b}\mathrm{T}{\mathrm{e}}_3$ and $\mathrm{S}\mathrm{i}(111)-<!--\; ???\; -->(7\times <!--\; ??\; -->7)$ samples. (paper)