论文部分内容阅读
(一)引言1.在幾何學發展的悠久的歷程中,解析幾何學的創立具有很大的意義。從此,幾何學得以舆正在發展中的分析學舆代數學密切聯系,相互影響。例如,在分析上所必須研究的函數關係(它的現實來源便是自然現象中各種量之間的制約關係)可以歸結成幾何圖象的研究。幾何學上的關係,也往往通過分析與代數的途徑而達到,現在,絕大部份的幾何學都利用代數或分析做自己的工具瑫r,幾何中解析方法的運用,也還為新幾何學的建立開拓道路,例如高維空間的幾何學就必須利用解析的
(A) Introduction 1. In the long history of the development of geometry, analytic geometry has great significance. Since then, geometry has been closely linked to and influenced by analytical mathematics in development. For example, the functional relationship that must be studied in the analysis (its actual source is the relation between various quantities in natural phenomena) can be reduced to the study of geometric images. Geometric relations, often through the analysis and algebra approach to achieve, and now, most of the geometry are algebra or analysis to do their own tools 瑫 r, the use of geometric analysis methods, but also for the new The establishment of geometry to explore the road, for example, the geometry of high-dimensional space must use analytic