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

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

  • OECD FORD branch

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

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Book/collection name

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

  • ISBN

    978-3-319-56930-7

  • Number of pages of the result

    15

  • Pages from-to

    191-205

  • Number of pages of the book

    515

  • Publisher name

    Springer International Publishing AG

  • Place of publication

    Cham, Switzerland

  • UT code for WoS chapter