波雷利版本的阿波罗尼乌斯的《圆锥定理》的第v - 7卷,以及牛顿的《原理》的引理12

IF 0.7 2区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE
Andrea Del Centina, Alessandra Fiocca
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引用次数: 2

摘要

为了解决当轨迹是椭圆并且力指向其中心时的中心力的直接问题,牛顿使用了著名的引理12(Principia,I,sect.II),该引理后来被认为相当于阿波罗圆锥曲线第七卷的命题31。在这篇论文中,我们为引理12寻找牛顿的可能来源,我们将Borelli编辑的Apolonius的原始证明与其他作者的证明进行了比较,包括牛顿自己给出的证明。此外,在追溯了其编辑历史后,我们评估了博雷利版《阿波罗的圆锥曲线》第V-VII卷在《原理》印刷之前的传播情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Borelli’s edition of books V–VII of Apollonius’s Conics, and Lemma 12 in Newton’s Principia

Borelli’s edition of books V–VII of Apollonius’s Conics, and Lemma 12 in Newton’s Principia

To solve the direct problem of central forces when the trajectory is an ellipse and the force is directed to its centre, Newton made use of the famous Lemma 12 (Principia, I, sect. II) that was later recognized equivalent to proposition 31 of book VII of Apollonius’s Conics. In this paper, in which we look for Newton’s possible sources for Lemma 12, we compare Apollonius’s original proof, as edited by Borelli, with those of other authors, including that given by Newton himself. Moreover, after having retraced its editorial history, we evaluate the dissemination of Borelli's edition of books V-VII of Apollonius’s Conics before the printing of the Principia.

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来源期刊
Archive for History of Exact Sciences
Archive for History of Exact Sciences 管理科学-科学史与科学哲学
CiteScore
1.30
自引率
20.00%
发文量
16
审稿时长
>12 weeks
期刊介绍: The Archive for History of Exact Sciences casts light upon the conceptual groundwork of the sciences by analyzing the historical course of rigorous quantitative thought and the precise theory of nature in the fields of mathematics, physics, technical chemistry, computer science, astronomy, and the biological sciences, embracing as well their connections to experiment. This journal nourishes historical research meeting the standards of the mathematical sciences. Its aim is to give rapid and full publication to writings of exceptional depth, scope, and permanence.
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