卡诺的横截面理论及其应用——法国合成几何的觉醒

IF 0.7 2区哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE

Archive for History of Exact Sciences Pub Date : 2021-06-08 DOI:10.1007/s00407-021-00276-1

Andrea Del Centina

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引用次数: 4

摘要

本文较深入地讨论了卡诺横截面理论的主要定理，Servois对它们的最初接受，以及Brianchon对它们在圆锥截面理论中的应用。这些作者的贡献充分揭示了德萨尔格和帕斯卡被遗忘已久的定理，重新激发了法国对合成几何的兴趣，并为后来发展投影几何奠定了基础。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Carnot’s theory of transversals and its applications by Servois and Brianchon: the awakening of synthetic geometry in France

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Carnot’s theory of transversals and its applications by Servois and Brianchon: the awakening of synthetic geometry in France

In this paper we discuss in some depth the main theorems pertaining to Carnot’s theory of transversals, their initial reception by Servois, and the applications that Brianchon made of them to the theory of conic sections. The contributions of these authors brought the long-forgotten theorems of Desargues and Pascal fully to light, renewed the interest in synthetic geometry in France, and prepared the ground from which projective geometry later developed.

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来源期刊

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

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.