Contemporary interpretation of a historical locus problem with the use of computer algebra

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12410%2F17%3A43896437" target="_blank" >RIV/60076658:12410/17:43896437 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-3-319-56932-1_12" target="_blank" >http://dx.doi.org/10.1007/978-3-319-56932-1_12</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-56932-1_12" target="_blank" >10.1007/978-3-319-56932-1_12</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Contemporary interpretation of a historical locus problem with the use of computer algebra

Popis výsledku v původním jazyce

This paper deals with the joint use of computer algebra and the dynamic geometry features of the mathematics software GeoGebra to solve a locus problem. Through a generally unknown problem from an 18 th century Latin book of geometry exercises the use of the computer algebra features of GeoGebra will be presented on the one hand as a means of automatic computation of the locus equation and on the other hand as an environment to realize the symbolic step by step derivation of the equation. The core principles of the effective implementation of computer algebra functions within the dynamic geometry system will be presented. An enhanced approach to solving the problem, inspired by the findings from the use of the computer to investigate the locus, will cause the appearance of an unexpected and until now not described curve.

Název v anglickém jazyce

Contemporary interpretation of a historical locus problem with the use of computer algebra

Popis výsledku anglicky

This paper deals with the joint use of computer algebra and the dynamic geometry features of the mathematics software GeoGebra to solve a locus problem. Through a generally unknown problem from an 18 th century Latin book of geometry exercises the use of the computer algebra features of GeoGebra will be presented on the one hand as a means of automatic computation of the locus equation and on the other hand as an environment to realize the symbolic step by step derivation of the equation. The core principles of the effective implementation of computer algebra functions within the dynamic geometry system will be presented. An enhanced approach to solving the problem, inspired by the findings from the use of the computer to investigate the locus, will cause the appearance of an unexpected and until now not described curve.

Druh

C - Kapitola v odborné knize

CEP obor

—

OECD FORD obor

50302 - Education, special (to gifted persons, those with learning disabilities)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Springer Proceedings in Mathematics &amp; Statistics: Applications of Computer Algebra

ISBN

978-3-319-56930-7

Počet stran výsledku

15

Strana od-do

191-205

Počet stran knihy

515

Název nakladatele

Springer International Publishing AG

Místo vydání

Cham, Switzerland

Kód UT WoS kapitoly

—