Historia Scientiarum. Second Series: International Journal of the History of Science Society of Japan
Online ISSN : 2436-9020
Print ISSN : 0285-4821
Special Issue : Possibilities of Contemporary History of Science and Technology
Study on an Example in the Triśatī, an Indian Arithmetic Book
Taro TOKUTAKE
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2022 年 31 巻 2 号 p. 172-185

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The present paper examines the transmission of two stanzas included in the section on the "multi-part class" (prabhāgajāti) in Śrīdhara's Triśatī. The two verses are found in six manuscripts, but they are not contained in the published edition of the Triśatī. An example for calculating the sum of donation to Brahmins in one hundred years is given there. In one manuscript, the problem is solved not with the multi-part class but with the "Rule of Three" (trairāśika). Also, in the Bakhshālī Manuscript, there is a similar example of the Rule of Three whose numerical values are identical with those of the two stanzas in question. The two are composed in Anuṣṭubh meter, which is attested in only 11 percent of all the verses in the published edition. All these facts suggest that they might not be the original stanzas of the Triśatī and that they were probably composed as a problem of the Rule of Three in another work.

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