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We investigate the thermoelectric effect in a four-terminal mesoscopic system using the Green's function method and the Landauer-Büttiker formula.When a temperature gradient is applied along the longitudinal direction,a transverse electric potential difference can be obtained when the symmetry along the transverse direction is broken.The transverse symmetry broken is realized by locating a triangle at the center of the system.This thermoelectric effect is analogue to the Nernst effect in which the transverse symmetry is broken by an external magnetic field.