A Euclidean proof for the Fourth Postulate

IF 0.5 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Historia Mathematica Pub Date : 2025-03-01 DOI:10.1016/j.hm.2024.12.001

José Gil-Férez , Piotr Błaszczyk , M. Andrew Moshier , Alberto Naibo , Marco Panza , Jean-Michel Salanskis

引用次数: 0

Abstract

We discuss some classical conundrums about Euclid's Fourth Postulate. Our inquire sheds lights on the role the postulate is playing within the deductive structure of Book I of the Elements and provides a proof of it fully admissible within Euclid's original setting.

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我们讨论了有关欧几里得第四公设的一些经典难题。我们的探究揭示了该公设在《元素》第一册演绎结构中所扮演的角色，并在欧几里得的原始设定中提供了一个完全可接受的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Historia Mathematica 数学-科学史与科学哲学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

72 days

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.