False position method an approximation that can be successively improved by iteration. The simple false position technique is found in cuneiform tablets from ancient Babylonian mathematics, and in papyri from ancient Egyptian mathematics. Double false position arose in late antiquity as a purely arithmetical algorithm. In the ancient Chinese mathematical text called "The Nine Chapters on the Mathematical Art" (九章算術), dated from 200 BC to AD 100, most of Chapter 7 was devoted to the algorithm. There, the procedure was justified by concrete arithmetical arguments, then applied creatively to a wide variety of story problems, including one involving what we would call secant
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