This document discusses criteria for diagnosing maximum anchorage control cases and biomechanical principles for anchorage preservation during orthodontic tooth movement. It covers extraoral and intraoral diagnostic criteria, cephalometric readings, biomechanics of anchorage including active and reactive members, moment-to-force ratios, loop design effects, anterior retraction techniques, load deflection rates, maximal elastic moments, effects of friction, and proper force levels. The goal is to understand how to design orthodontic appliances to differentially move teeth while reinforcing anchorage of posterior segments.