Abstract
This paper aims to shed light on two different mathematical practices in late eighteenth-century China. For this purpose, we analyze two solutions to the “three problems of the eastward motion of fixed stars” (恒星東行三題) that were given separately by Jiang Sheng (江聲) and Li Rui (李銳), who were both Qian-Jia scholars in the same region of eastern China. By comparing their modes of problem-solving, of reasoning and of computation, we suggest that the mathematical practices they employed represent the recreation of two traditions of mathematical commentaries by Qian-Jia scholars.
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