Construction of Special Conics in Pencils of Conics Using Geometric Algebra for Conics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F26%3A0201806" target="_blank" >RIV/00216305:26210/26:0201806 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00006-025-01434-2" target="_blank" >https://link.springer.com/article/10.1007/s00006-025-01434-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00006-025-01434-2" target="_blank" >10.1007/s00006-025-01434-2</a>
Alternative languages
Result language
angličtina
Original language name
Construction of Special Conics in Pencils of Conics Using Geometric Algebra for Conics
Original language description
Abstract We present the ways of constructing special subsets of conics present in the pencils of conics using Geometric Algebra for Conics (GAC). In particular, we offer geometrically oriented approaches to obtain the line-pairs and generalised parabolas that can be found in the pencils, by applying the tools of GAC and the classical theory of projective conics. In addition, we also describe the construction of a conic passing through five points and, throughout the work, we demonstrate the usage of points at infinity in the mentioned problems as well. The text is accompanied by examples with corresponding figures and includes a partial classification of some of the cases one may encounter in the topic.
Czech name
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Czech description
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Classification
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
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2026
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Applied Clifford Algebras
ISSN
0188-7009
e-ISSN
1661-4909
Volume of the periodical
36
Issue of the periodical within the volume
02 February 2026
Country of publishing house
CH - SWITZERLAND
Number of pages
33
Pages from-to
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UT code for WoS article
001677271600001
EID of the result in the Scopus database
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