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Scope: The Nine Chapters Request type: Paragraph
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Total 3 paragraphs. Page 1 of 1.

九章算術 - The Nine Chapters

[Western Han - Xin] 120 BC-20
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[Also known as: 《九章算經》]

方田

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24 方田:
又有田廣十八步、七分步之五,從二十三步、十一分步之六。問為田幾何?
答曰:一畝二百步、十一分步之七。
大廣田術曰:分母各乘其,分子從之,相乘為實。分母相乘為法。實如法而一。

38 方田:
又有環田,中周六十二步、四分步之三,外周一百一十三步、二分步之一,徑十二步、三分步之二。問為田幾何?
答曰:四畝一百五十六步、四分步之一。
術曰:并中外周而半之,以徑乘之為積步。
密率術曰:置中外周步數,分母、子各居其下。母互乘子,通步,內分子。以中周減外周,餘半之,以益中周。徑亦通分內子,以乘周為實。分母相乘為法,除之為積步,餘積步之分。以畝法除之,即畝數也。

少廣

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少廣:
少廣術曰:置步及分母子,以最下分母遍乘諸分子及步,各以其母除其子,置之於左。命通分者,又以分母遍乘諸分子,及已通者皆通而同之,并之為法。置所求步數,以步積分乘之為實。實如法而一,得從步。

Total 3 paragraphs. Page 1 of 1.