I have been bugged by this question ever since I studied cauchy's stress theory 10 years ago.
In cauchy's analysis of solids, there two popular geometries.
First one is a unit cube used for deriving equations of equilibrium.
And the second one is a tetraheadon used for deriving Cauchy's stress theorem.
In both the cases limit of force equilibrium as solid geometry shrinks to a point is derived.
My question has been, how come limit of force equilibrium at a point inside a solid depenent on the path taken by limiting process.
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