The document discusses various classification systems for partially edentulous arches that have been proposed over time. It describes the primary classes and features of classification systems proposed by Swenson, Cummer, Kennedy, Bailyn, Neurohr, Mauk, Godfrey, Beckett, Friedman, Austin-Lidge, Skinner, and Applegate-Kennedy. The classification systems are based on factors like the number, position and length of edentulous spaces and number/position of remaining teeth. The Applegate-Kennedy system is highlighted as the most commonly used today for its simplicity.