On the locus related to chords of conic sections

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12410%2F21%3A43904263" target="_blank" >RIV/60076658:12410/21:43904263 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On the locus related to chords of conic sections

Original language description

The paper deals with the locus of points related to chords of conic sections. Firstly the locus is explored using dynamic geometry software, particularly for displaying it, secondly, using elimination in computer algebra software, the locus equation is derived. However this elimination leads to the zero elimination ideal. It is shown how to compute the searched equation in such a case. Further the locus is applied in the proof of the theorem which is related to the Fregier point. Finally, connection between the original formulation of the locus and the formulation by an envelope is demonstrated. By solving the problem we mainly use dynamic geometry software GeoGebra and computer algebra program CoCoA and Singular.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

50301 - Education, general; including training, pedagogy, didactics [and education systems]

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

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

Article name in the collection

Proceedings of the 26th Asian Technology Conference in Mathematics

ISBN

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ISSN

1940-4204

e-ISSN

1940-4204

Number of pages

8

Pages from-to

137-144

Publisher name

Mathematics and Technology, LLC

Place of publication

Radford, VA, USA

Event location

Radford University, Virginia, USA

Event date

Dec 13, 2021

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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