应制夷.三角学的公理化(英文)[J].数学研究及应用,1993,13(2):245~247 |
三角学的公理化(英文) |
Axiomatizing Trigonometry |
投稿时间:1991-12-29 |
DOI:10.3770/j.issn:1000-341X.1993.02.016 |
中文关键词: |
英文关键词: |
基金项目: |
|
摘要点击次数: 1870 |
全文下载次数: 927 |
中文摘要: |
本文给出余弦函数的两个公理:(?)得到公理1,2等价于我们熟知的余弦函数定义域幂级数定义.(见Dr.Konrad Knopp)heory and application of Inpinitc sehies(Frist English Edition1928;Second English Edi-tion1951)). |
英文摘要: |
In this paper, two axioms for cosine function are given and the well-known definitions defined by power series as well as by the arc length on a unit circle have been obtained. Obviously the latter implies both axioms. Thus the two axioms given do constitute a characterization for the cosine function. |
查看全文 查看/发表评论 下载PDF阅读器 |