Abstract

Applying tensor calculus we discuss change of the volume under infinitesimal bending of the surface. We obtain that the variation of the volume bounded by the surface S and the cone joining the origin to the boundary of the surface, under infinitesimal bending of S with the vector field of translation s, equals one third of the flux of the field s through the given surface S. An example is analysed and graphically presented. The paper points to the application of the obtained result in the calculation of the volume of a solid model.

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