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Investigation of loci in dynamic geometric environment

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12410%2F17%3A43896554" target="_blank" >RIV/60076658:12410/17:43896554 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Investigation of loci in dynamic geometric environment

  • Original language description

    A classical problem in plane geometry consists of searching for the path of a point, that is subject to given constraints. Except for the most simple loci such as lines, circles or possibly conics, this topic is not contained in most geometry texts. The reason might be difficulties when visualizing various objects with different movements. The use of dynamic geometry software (DGS) considerably facilitates the loci investigation. Whereas in the past the study of loci by DGS was based on numerical methods, now we are facing the introduction of symbolic methods based on the theory of automated theorem proving into DGS. The result is the implicit equation of the locus. In the text a few concrete examples are given.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the Slovak-Czech Conference on Geometry and Graphics

  • ISBN

    978-80-86843-57-5

  • ISSN

  • e-ISSN

    neuvedeno

  • Number of pages

    12

  • Pages from-to

    13-25

  • Publisher name

    Vydavatelský servis, Plzeň 2017

  • Place of publication

    Plzeň

  • Event location

    Vršatské Podhradie, Slovensko

  • Event date

    Sep 11, 2017

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article