The Haidao Suanjing or Sea Island Mathematical Manual, is one of
the "Ten Classics" of traditional Chinese mathematics, and its
contents demonstrate the high standards of theoretical and
mathematical sophistication present in early Chinese surveying
theory. The Haidao composed in A.D. 263 by Liu Hui, established the
mathematical procedures for much of East Asian surveying activity
for the next one thousand years. The contents of the Haidao also
testify to the ability of the Chinese to systematize mathematics
and hint at the use of proof in Chinese mathematics, a concept
usually associated with Greek mathematical thought.
Frank Swetz provides an annotated translation of the Haidao and
an analysis of its surveying problems. In particular, he details
surveying techniques and undertakes a mathematical exposition of
the Chinese chong cha solution procedures. The Haidao is a
testimony to the ingenuity and skill of China's early surveyors and
its author, Liu Hui. This study complements and extends the
findings of Swetz's previous book, Was Pythagoras Chinese?An
Examination of Right Triangle Theory in Ancient China.
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