Exploration of Dual Curves Using a Dynamic Geometry and Computer Algebra System

被引：0

作者：

Hasek, Roman ^{[1
]}

机构：

[1] Univ South Bohemia Ceske Budejovice, Fac Educ, Dept Math, Jeronymova 10, Ceske Budejovice 37115, Czech Republic

来源：

MATHEMATICS IN COMPUTER SCIENCE | 2020年 / 14卷 / 02期

关键词：

Algebraic curve; Dual curve; Dynamic geometry software; Computer algebra system; Teacher education; COMPUTATION;

D O I：

10.1007/s11786-019-00433-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This submission presents a particular example of the use of the free dynamic mathematics software GeoGebra to determine the dual curve to the given curve and to inspect its properties. The example is aimed at students of mathematics teaching. The combination of dynamic geometry tools with computer algebra functions, namely the functions for the computation of Groebner bases for polynomial ideals and a function for eliminating variables from the system of polynomial equations, based also on the method of Groebner bases, allows them to apply naturally the knowledge they acquire during their study of mathematics.

引用

页码：391 / 398

页数：8

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