| 正弦定理与一条定直线的垂线和斜线一定相交的等价性 |
| |
| 引用本文： | 梁桂珍,张跃胜.正弦定理与一条定直线的垂线和斜线一定相交的等价性[J].新乡师范高等专科学校学报,2004,18(5):3-4. |
| |
| 作者姓名： | 梁桂珍 张跃胜 |
| |
| 作者单位： | 新乡师范高等专科学校,数学系,河南,新乡,453000 |
| |
| 摘 要： | 在结合公理Ι1-8,顺序公理Ⅱ1-4,合同公理Ⅲ1-5和连续公理Ⅴ1-2(这里采用希尔伯特的公理体系)的基础上证明了正弦定理、一条定直线的垂线和斜线一定相交与欧氏平行公理是等价的,进一步证明论题。
|
| 关 键 词： | 等价性 欧氏平行公理 正弦定理 |
| 文章编号： | 1008-7613(2004)05-0003-02 |
| 修稿时间： | 2004年6月21日 |
Sine Rule Is Equivalent for That Vertical Line of a Line Crosses Its Slant Lines |
| |
| LIANG Gui-zhen,ZHANG Yue-sheng.Sine Rule Is Equivalent for That Vertical Line of a Line Crosses Its Slant Lines[J].Journal of Xinxiang Teachers College,2004,18(5):3-4. |
| |
| Authors: | LIANG Gui-zhen ZHANG Yue-sheng |
| |
| Abstract: | The article proves sine rule and that vertical line of a line crosses its slant lines are both equivalent for the parallel axiom (Euclid) on the combined axiom; the sequence axiom; the repeatability axiom; the continuity axiom (the axiom system of Hilbert), so they are equivalent for each other . |
| |
| Keywords: | equivalent the parallel axiom (Euclid) sine rule |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
