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Triśatībhāṣyaにおけるsavarṇana-の用法)=The Usage of savarṇana- in the Triśatībhāṣya |
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Author |
徳武太郎 (著)=Tokutake, Taro (au.)
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Source |
印度學佛教學研究 =Journal of Indian and Buddhist Studies=Indogaku Bukkyōgaku Kenkyū
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Volume | v.71 n.2 (總號=n.159) |
Date | 2023.03.22 |
Pages | 929 - 926 |
Publisher | 日本印度学仏教学会 |
Publisher Url |
http://www.jaibs.jp/
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Location | 東京, 日本 [Tokyo, Japan] |
Content type | 期刊論文=Journal Article |
Language | 日文=Japanese |
Note | (令和4年度科学研究費21J23080による研究成果の一部) |
Keyword | Triśatī; Triśatībhāṣya; savarṇana-; 五量法(pañcarāśika); 算術 |
Abstract | The Triśatībhāṣya is an anonymous commentary on Śrīdhara’s arithmetic text, Triśatī. In Indian arithmetic the term savarṇana-, “reduction to the same color,” is usually found in the context of the calculation of fractions. The word has two meanings in the Triśatī: (1) to reduce fractions to a common denominator, and (2) to make a composite fraction calculable by reducing it to a simple fraction which possesses one numerator and one denominator. The author of the Triśatībhāṣya accepts the two meanings, but, in the topic of the Rule of Five (pañcarāśika), he uses savarṇana- in a different meaning. The present paper gives an explanation of the unusual usage of the term in the Triśatībhāṣya. |
Table of contents | 1.はじめに 929 2.分数の同色化 929 3.五量法 928 4.おわりに 927 〈参考文献〉 926 (一次文献) 926 (二次文献) 926 |
ISSN | 00194344 (P); 18840051 (E) |
DOI | https://doi.org/10.4259/ibk.71.2_929 |
Hits | 9 |
Created date | 2024.11.04 |
Modified date | 2024.11.08 |
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