Solving a problem with GeoGebra current possibilities and limits of CAS tools

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F25%3A00014408" target="_blank" >RIV/46747885:24510/25:00014408 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10817-025-09733-w" target="_blank" >https://link.springer.com/article/10.1007/s10817-025-09733-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10817-025-09733-w" target="_blank" >10.1007/s10817-025-09733-w</a>

Result language
angličtina
Original language name
Solving a problem with GeoGebra current possibilities and limits of CAS tools
Original language description
In the article we show what a Dynamic Geometry Environment (DGE) and Computer Algebra System (CAS) software is capable of exploring, computing and proving a geometry problem that is closely related to the well-known Wallace-Simson theorem. In our case, this problem turns out to be quite difficult for some software tools incorporated in the DGE software. The computation of a searched locus by the software works well in our case, but the problem must be formulated in a specific way. In addition to the conclusions attained by DGE software, we present computer-aided analytical solutions in the second half of paper. It is shown that the use of non-degeneracy conditions before elimination leads to a significant reduction of the computation time.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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