## A Critical Study of the Yang Hui Suan Fa: A Thirteenth-century Chinese Mathematical Treatise |

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### Contents

Cheng Chu Tung Pien Suan | 5 |

A general outline of mathematical studies | 11 |

Cheng Chu Tung Pien Suan | 13 |

Copyright | |

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### Common terms and phrases

annulus breadth ch'eng ch'ih ch'u Chapter chia erh wei chia i wei chien erh chih chin circle counting rods cut-off diameter digit the product divide by 11 divide kuei division divisor erh wei method Find the area Find the number Find the total Fix the place-value fix the unit fraction fu yii gives a remainder Halve the dividend halve the product Hang Hence the answer Hui's ICTTS kuan leaves a remainder length magic square measuring rod method and halve multiply by 15 Multiply yin number of arrows number of persons obtain the answer original perpendicular placed one place placed two places pole problem quadratic equation quantity rectangle selected number shang shang sheng shih square of order square root Suan Ching Sun Tzu t'ien tenth digit tenth place the/w total number trapezium ts'ung fang twice successively unit digit unit place yii suan