The document discusses the history and development of various classification systems for partially dentulous arches. It describes over a dozen systems proposed between 1905-1960, including those by Kennedy, Cummer, Bailyn, Mauk, Beckett, Friedman, Austin-Lidge, Skinner, and Applegate-Kennedy. The Applegate-Kennedy system, which is a modification of Kennedy's original system, is highlighted as being the most universally used today for its simplicity.