Abstract
This article describes the synthesis of four-bar mechanism for hyperbolic function generation with four accuracy point and its optimized using least square method. This research is concerned with the development of mathematical formulation of Freudenstein-Chebyshev approximation theory extended from three points to four point synthesis problems. The objective function has been analyzed based on the structural error between the generated and desired function. Their comparison has been shown with regard to minimum structural. Structural error is found to be optimized with least square method. Three hyperbolic functions are solved and demonstrated for study purpose.

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