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本文要介绍的曲线是在突破尺规作图“规则限制”的前提下生成的,尽管它涉及三等分一角问题,但并非刻意讨论这个已经不成问题的问题。自从笛卡尔创立了坐标几何(解析几何),揭示了“形”与“数”之间的内在联系,把几何方法与代数方法统一后,人们才逐渐认识了利用直尺与圆规作图的作用,进而论证了“三等分一角是一个尺规作图不可能问题”。利用尺规作图解决三等分一角问题遭到失败后,一些人跳出作图规则限制来研究这个问题,并取得了不少成就~([1-11]),一是特制工具等分法,二是曲线等分法,其中
The curve to be introduced in this article is generated on the premise of breaking the rules and regulations and limiting the rules. Although it involves the issue of trisection, it is not deliberately discussing this already unanswered question. Since Descartes set up the coordinate geometry (analytic geometry), revealing the intrinsic connection between “shape ” and “number ”, after unifying geometric methods with algebraic methods, people gradually realized that the use of rulers and compasses The role of mapping, and then demonstrated that “trisection is impossible to issue a ruler ”. After using the ruler to solve the problem of the trisection of a triangle, after failing, some people have come out of the limitations of the charting rules to study this problem and have made many achievements ~ ([1-11]). The first is the special tool dichotomy Second, the curve is divided, where