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Precision engineering is the discipline concerned with the design, analysis, and manufacture of mechanical systems whose dimensional accuracy, positioning resolution, and surface finish are controlled to sub-micrometer or nanometer tolerances, far below the tolerances of conventional manufacturing processes ^[1]. The field addresses the fundamental machine-design principles that enable such accuracy: deterministic design based on kinematically located mechanical elements, geometric error budgeting that accumulates the contributions of individual component errors to the final output position, error compensation using closed-loop metrological feedback, and the selection of materials with stable and homogeneous thermo-mechanical properties ^[2]. Precision engineering also encompasses the metrology required to measure these extremely small dimensions, including laser interferometry, coordinate measuring machines, and atomic-force microscopy, and it rigorously distinguishes between the accuracy of a machine tool, meaning deviation from the nominal target position, and its repeatability, meaning the statistical dispersion of repeated measurements taken under identical and controlled operating conditions ^[3].