克劳维几何实践的兼收并蓄的内容与来源

IF 0.7 2区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE
John B. Little
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引用次数: 0

摘要

我们认为Christopher Clavius,S.J.的《几何实践》是一本令人惊讶的兼收并蓄和全面的实用几何文本,其第一版出现在1604年。我们的重点是第四册和第六册中的四个特定部分,Clavius要么以一种有趣的方式使用了他的资料来源,要么对这些资料一反常态地保持沉默。其中包括Heron公式的处理、阿基米德圆的测量、构造两条直线之间的两个平均比例的四种方法,以及最后计算数字第n根的算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

The eclectic content and sources of Clavius’s Geometria Practica

The eclectic content and sources of Clavius’s Geometria Practica

We consider the Geometria Practica of Christopher Clavius, S.J., a surprisingly eclectic and comprehensive practical geometry text, whose first edition appeared in 1604. Our focus is on four particular sections from Books IV and VI where Clavius has either used his sources in an interesting way or where he has been uncharacteristically reticent about them. These include the treatments of Heron’s Formula, Archimedes’ Measurement of the Circle, four methods for constructing two mean proportionals between two lines, and finally an algorithm for computing nth roots of numbers.

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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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