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This paper shows how to use the solution of electrostatic field problems by means of the basis set of solutions for the determination of the three dimensional partial capacitances between the electrodes of a given configuration. The Surface Charge Method and the Boundary Element Method are used to carry out the field calculation and determine the charge distributions on the electrode surfaces. The integration of the charge densities for the basis vectors of potentials allows the direct determination of the capacitance matrix of the problem. The difference between integrating surface charge densities and adding up fictitious charges for the determination of capacitances is also shown. Special attention is given to the computation in the presence of electrodes at floating potential.