Principles of Geometry
Principles of Geometry
复制标题
几何原理
作者：
W. M.
所有数学家都会立即承认，纯粹几何学的基础是由希腊人在基督时代之前和之后的时期真正奠定的。他们非常详细地研究了直线、圆和圆锥曲线的性质。他们的研究几乎没有什么通用原则；他们希望在任何能找到的地方寻找有趣的几何特性。另一方面，欧几里得试图收集所有这些分散的定理，并将它们呈现为一个连贯的整体，同时尽可能地研究潜在的假设和公理。尽管如此，单个定理的发现仍然是相当偶然的。《几何原理》，作者：H. F. Baker 教授。卷。 5：曲线理论的分析原理。页码。 x + 247。（剑桥：大学出版社，1933 年。）15 秒。网。
IT will be immediately admitted by all mathematicians that the foundations of pure geometry were well and truly laid by the Greeks in the period preceding and succeeding the time of Christ. They investigated in great detail the properties of the straight line, the circle and the conic sections. They had few general principles governing their researches; they were on the outlook for interesting geometrical properties wherever they could find them. On the other hand, Euclid attempted to collect all these scattered theorems and to present them in a coherent whole, studying at the same time so far as he could the underlying postulates and axioms. Nevertheless, it still remains true that the discovery of individual theorems was rather at haphazard.Principles of Geometry.By Prof. H. F. Baker. Vol. 5: Analytical Principles of the Theory of Curves. Pp. x + 247. (Cambridge: At the University Press, 1933.) 15s. net.