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Efficient capital accumulation paths of an expanding multisector economy are known to display catenary behavior around a von Neumann saddle-point turnpike if the economy's production possibilities set is a time-free convex cone. We prove that this result generalizes to the case of a time-dependent biconvex production technology with non-constant returns to scale but strong separability and homotheticity conditions imposed. We also demonstrate that these are locally necessary conditions if technical progress is known a priori to be Hicks-neutral.