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Chinese Text Project
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Scope: Request type: Paragraph
Condition 1: References "餘為法,以溝積尺為實" Matched:2.
Total 2 paragraphs. Page 1 of 1.

先秦兩漢 - Pre-Qin and Han

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算書 - Mathematics

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九章算術 - The Nine Chapters

[Western Han - Xin] 120 BC-20
Books referencing 《九章算術》 Library Resources
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[Also known as: 《九章算經》]

商功

Books referencing 《商功》 Library Resources
5 商功:
今有溝上廣一丈五尺,下廣一丈,深五尺,袤七丈。問積幾何?
答曰:四千三百七十五尺。
春程人功七百六十六尺,并出土功五分之一,定功六百一十二尺、五分尺之四。問用徒幾何?
答曰:七人、三千六十四分人之四百二十七。
術曰:置本人功,去其五分之一,餘為法。以溝積尺為實。實如法而一,得用徒人數。

盈不足

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6 盈不足:
今有共買羊,人出五,不足四十五;人出七,不足三。問人數、羊價各幾何?
答曰:二十一人,羊價一百五十。
兩盈、兩不足術曰:置所出率,盈、不足各居其下。令維乘所出率,以少減多,餘為實。兩盈、兩不足以少減多,餘為法。實如法而一。有分者通之。兩盈、兩不足相與同其買物者,置所出率,以少減多,餘,以約法實,實為物價,法為人數。
其一術曰:置所出率,以少減多,餘為法。兩盈、兩不足,以少減多,餘為實。實如法而一得人數。以所出率乘之,減盈、增不足,即物價。

Total 2 paragraphs. Page 1 of 1.