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总览 评价 王敏 * , 代钦 ( 内蒙古师范大学科学技术史研究院,呼和浩特 010022; ) 摘要: 纵观清末民国时期的数学教科书中圆锥曲线概念的变迁,其定义方式逐渐严格化、科学化。文中考察了不同数学教科书及数学辞典中圆锥曲线的几何定义、代数定义和统一定
王敏*, 代钦
(
内蒙古师范大学科学技术史研究院,呼和浩特 010022; )
摘要:
纵观清末民国时期的数学教科书中圆锥曲线概念的变迁,其定义方式逐渐严格化、科学化。文中考察了不同数学教科书及数学辞典中圆锥曲线的几何定义、代数定义和统一定义以及圆锥曲线名称的演变,在此基础上对圆锥曲线教学的顺序及圆是否作为圆锥曲线的一种等问题进行了讨论。
关键词:
清末民国;圆锥曲线;二次曲线
WANG Min*, DAI Qin
(
Science and Technology History Research Institute of Inner Mongolia Normal University; )
Abstract:
From the concept changes of conic section in the maths textbooks in the late Qing Dynasty and the Republic of China, it can be found that its definition mode becomes gradually strict and scientific. The evolution of the geometric definition, algebra definition and unified definition of conic section and its designation in different maths textbooks and dictionaries are investigated. On this basis, some questions such as the teaching sequence of conic section and whether circle is viewed as one of conic sections are discussed.
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