JOURNAL OF DIALECTICS OF NATURE
A Comprehensive, Academic Journal of the Philosophy, History, Sociology and Cultural Studies of Science and Technology
Author Information
JI Zhigang
Information
<p>School of History and Culture of Science</p><p>Shanghai Jiao Tong University<br/></p><p>jizg5611@163.com</p>
Research Articles
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The Pride of the Age of Renaissance: Friar Mathematician Luca Pacioli Abstract: Luca Pacioli was the pride of the age of Renaissance. His Summa de Arithmetica Geometria Proportioni et Proportionalita (hereinafter referred to as Summa) is an encyclopedic mathematical masterpiece in the annals of history. The Summa de Arithmetica Geometria Proportioni et Proportionalita in Summa is the first work about double-entry bookkeeping, and ushered in “Luca Pacioli’s Era” which has a far-reaching influence in the world history of accounting. On the basis of original texts, by describing the Italian arithmetic, business and cultural environment, this paper aims to investigate Pacioli’s important achievements as a Friar mathematician in the compilation and teaching of mathematics and his academic circle of friends. Meanwhile, by analyzing his mathematical books and other works, this paper gives a comprehensive evaluation of Pacioli during the Renaissance of how he made contributions to the development and progress of mathematical knowledge of arithmetic, algebra, and geometry. Key Words: Luca Pacioli; Renaissance; Summa; Algebra; Commercial mathematicsIssue:Volume 45, lssue 1, January 2023Page: 117-126
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A Study on the Sources of Commentaries on the 5th Defination in the 6th Book of Jihe Yuanben Printed in Ming Dynasty Abstract: There has been uncertainty among previous researchers over whether the version of Jihe Yuanben with an epilogue by Han Yingbi (Version A) was printed as the first edition in 1607. In comparison, a different text of more than a thousand characters exists in the commentary on the 5th definition in the 6th book of the version of Jihe Yuanben from the First Collection of Writings on Heavenly Learning (Version B) printed in the early reign of Emperor Chongzhen, providing textual clues for solving the mystery. This paper compares commentaries on the 5th definition in the 6th book of both aforementioned versions printed in Ming Dynasty with their counterparts in the Latin versions by Clavius, the first print in 1574 as well as later enlarged editions, with the findings are as follows: this text of commentary in Version A corresponds to Clavius’ first printed Elements in its structure and details, while specific paragraphs in Version B, regarding the theory of component intermediate ratios, the method of conversion of ratios in mixed fractions to ratios in integral numbers, and the art of Jiexiang, originate from Clavius’ later enlarged editions, thereby providing convincing evidence that Version A was printed as the first edition in 1607. Key Words: Version of Jihe Yuanben with an epilogue by Han; Version of Jihe Yuanben from First Collection of Writings on Heavenly Learning; Clavius’ Euclidis Elementorum Librorum XVIssue:Volume 47, lssue 4, April 2025Page: 66-74
JOURNAL OF DIALECTICS OF NATURE
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