{"title":"Da Vinci's Codex Atlanticus, fols. 395r and 686r–686v, refers to Leonardo Pisano volgarizzato, not to Giorgio Valla","authors":"Dominique Raynaud","doi":"10.1016/j.hm.2023.06.001","DOIUrl":null,"url":null,"abstract":"<div><p>This article aims at identifying the sources of fols. 395r and 686r-686v of the <em>Codex Atlanticus</em>. These anonymous folios, inserted in Leonardo da Vinci's notebooks, do not deal with the duplication of the cube proper, nor do they derive from Giorgio Valla's <em>De expetendis et fugiendis rebus</em><span> (1501), as has been claimed. They deal specifically with the extraction of the cube root by geometric methods. The analysis of the sources by the tracer method reveals that these fragments are taken from the </span><em>Practica geometrie</em> by Leonardo Fibonacci (1220) and, more precisely, from a <em>volgarizzamento</em> that appears in the <em>Praticha d'arismetrica</em> by Benedetto da Firenze (1463). Leonardo could have consulted this text in one of his two Florentine periods, around 1463-1482 or around 1503-1506.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"64 ","pages":"Pages 1-18"},"PeriodicalIF":0.4000,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Historia Mathematica","FirstCategoryId":"98","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0315086023000174","RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}
引用次数: 0
Abstract
This article aims at identifying the sources of fols. 395r and 686r-686v of the Codex Atlanticus. These anonymous folios, inserted in Leonardo da Vinci's notebooks, do not deal with the duplication of the cube proper, nor do they derive from Giorgio Valla's De expetendis et fugiendis rebus (1501), as has been claimed. They deal specifically with the extraction of the cube root by geometric methods. The analysis of the sources by the tracer method reveals that these fragments are taken from the Practica geometrie by Leonardo Fibonacci (1220) and, more precisely, from a volgarizzamento that appears in the Praticha d'arismetrica by Benedetto da Firenze (1463). Leonardo could have consulted this text in one of his two Florentine periods, around 1463-1482 or around 1503-1506.
达的《大西洋法典》，fols。395r和686r–686v，指的是Leonardo Pisano volgarizzato，而不是Giorgio Valla
本文旨在确定fols的来源。395r和686r-686v。这些匿名的对开本插入了达的笔记本中，并没有处理立方体本身的复制，也没有像人们所说的那样源自乔治·瓦拉的《De expetendis et fugiendis rebus》（1501）。它们专门处理通过几何方法提取立方根的问题。通过示踪法对来源的分析表明，这些碎片取自莱昂纳多·斐波那契（1220）的《几何实践》，更准确地说，取自贝内代托·达·弗伦泽（1463）的《阿里斯特里卡实践》中出现的一个volgarizzamento。莱昂纳多可能在他的两个佛罗伦萨时期中的一个时期，即1463-1482年左右或1503-1506年左右查阅了这篇文章。
期刊介绍：
Historia Mathematica publishes historical scholarship on mathematics and its development in all cultures and time periods. In particular, the journal encourages informed studies on mathematicians and their work in historical context, on the histories of institutions and organizations supportive of the mathematical endeavor, on historiographical topics in the history of mathematics, and on the interrelations between mathematical ideas, science, and the broader culture.
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