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A platform for research: civil engineering, architecture and urbanism
Cassinian Focal-Directorial Curves
Geometric Genesis and Form Variation
https://orcid.org/http://orcid.org/0000-0001-5723-6979
https://orcid.org/http://orcid.org/0000-0002-9155-218X
https://orcid.org/http://orcid.org/0000-0002-4963-4149
In this paper, we introduce new plane curves, i.e. Cassinian focal-directorial curves as curves of a transitory type, of Cassinian multidirectorial curves as counterpart to Cassinian multifocal curves; and demonstrate their geometric genesis, and their form variation for special choices of foci and directrices. The form variation of Cassinian focal-directorial curves (CFDC) for different values of the particular parameter is also considered. Furthermore, it is shown that these algebraic curves also might have applications in architectural space design.
Cassinian Focal-Directorial Curves
Geometric Genesis and Form Variation
https://orcid.org/http://orcid.org/0000-0001-5723-6979
https://orcid.org/http://orcid.org/0000-0002-9155-218X
https://orcid.org/http://orcid.org/0000-0002-4963-4149
In this paper, we introduce new plane curves, i.e. Cassinian focal-directorial curves as curves of a transitory type, of Cassinian multidirectorial curves as counterpart to Cassinian multifocal curves; and demonstrate their geometric genesis, and their form variation for special choices of foci and directrices. The form variation of Cassinian focal-directorial curves (CFDC) for different values of the particular parameter is also considered. Furthermore, it is shown that these algebraic curves also might have applications in architectural space design.
Cassinian Focal-Directorial Curves
Geometric Genesis and Form Variation
https://orcid.org/http://orcid.org/0000-0001-5723-6979
https://orcid.org/http://orcid.org/0000-0002-9155-218X
https://orcid.org/http://orcid.org/0000-0002-4963-4149
In this paper, we introduce new plane curves, i.e. Cassinian focal-directorial curves as curves of a transitory type, of Cassinian multidirectorial curves as counterpart to Cassinian multifocal curves; and demonstrate their geometric genesis, and their form variation for special choices of foci and directrices. The form variation of Cassinian focal-directorial curves (CFDC) for different values of the particular parameter is also considered. Furthermore, it is shown that these algebraic curves also might have applications in architectural space design.
Cassinian Focal-Directorial Curves
Geometric Genesis and Form Variation
Nexus Netw J
Petrović, Maja (author) / Štulić, Radovan (author) / Malešević, Branko (author)
Nexus Network Journal ; 26 ; 829-852
2024-12-01
24 pages
Article (Journal)
Electronic Resource
English
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