A two-dimensional anisotropic medium with a resistivity tensor in the general form is considered. In the arbitrarily shaped region with four point contacts on the circumference, the potential problem caused by two current contacts is solved by using affine and conformal mappings. The relations among the resistances that are defined as the potential difference between the remaining contacts per unit current are presented for various combinations of current contacts. The resistance characteristics in this paper include the well-known van der Pauw theorem, which is applicable for electrical characteristic measurements on anisotropic conductors in applied magnetic fields.

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