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Chinese Text Project
Search details:
Scope: Request type: Paragraph
Condition 1: References "重置其位" 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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孫子算經 - Sunzi Suan Jing

[Northern and Southern (420 - 581)] Library Resources

卷上

Library Resources
7 卷上:
凡乘之法,重置其位。上下相觀,上位有十步至十,有百步至百,有千步至千。以上命下,所得之數列於中位。言十即過,不滿自如。上位乘訖者先去之。下位乘訖者則俱退之。六不積,五不隻。土下相乘,至盡則已。

16 卷上:
九九八十一,自相乘,得幾何?答曰:六千五百六十一。術曰:重置其位,以上八呼下八,八八六十四,即下六千四百於中位。以上八呼下一,一八如八,即於中位下八十。退下位一等,收上位八十。以上位一呼下八,一八如八,即於中位下八十。以上一呼下一,一一如一,即於中位下一。上下位俱收,中位即得六千五百六十一。

Total 2 paragraphs. Page 1 of 1.