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Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
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Extremal curves with a "should pass through" constraint
Given points $P_1,P_2$ on the plane, how do I find the shortest curve from $P_1$ to $P_2$ that passes through a third point $Q$ (which could be anywhere on the plane) ?
I guess the answer should be t …