Generating Curves of Higher Order Using the Generalisation of Hügelschäffer’ Egg Curve construction
Samo za registrovane korisnike
2013
Autori
Obradović, MarijaMalešević, Branko
Petrović, Maja
Đukanović, Gordana
Ostala autorstva
David, IoanKonferencijski prilog (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
The starting constructions is the well known ellipse construction using the concentric circles c1 and c2. By eccentricity of the center C2 for some value w, and for the preserved center of the transformation in the center C1, the degree of the obtained curve rises from two to three, as done by mathematician Fritz Hügelschäffer. If we also displace the center of the transformation from C1, we obtain a variety of higher order curves using the same principle in the constructive procedure.
Ključne reči:
hyperbolism / circle / curve / ellipse / conoidIzvor:
Scientific Bulletin of the "POLITEHNICA" University of Timişoara, Romania TRANSACTIONS on HYDROTECHNICS, 2013, 58(72), 1, 110-114Izdavač:
- Timişoara: Editura Politehnica
Finansiranje / projekti:
- Razvoj novih informaciono-komunikacionih tehnologija, korišćenjem naprednih matematičkih metoda, sa primenama u medicini, telekomunikacijama, energetici, zaštititi nacionalne baštine i obrazovanju (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
Napomena:
- https://www.ct.upt.ro/buletinhidro/issue_2013_1.htm https://www.ct.upt.ro/buletinhidro/2013-1/025%20Obradovic%20Generating-eu.pdf
Kolekcije
Institucija/grupa
GraFarTY - CONF AU - Obradović, Marija AU - Malešević, Branko AU - Petrović, Maja AU - Đukanović, Gordana PY - 2013 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1983 AB - The starting constructions is the well known ellipse construction using the concentric circles c1 and c2. By eccentricity of the center C2 for some value w, and for the preserved center of the transformation in the center C1, the degree of the obtained curve rises from two to three, as done by mathematician Fritz Hügelschäffer. If we also displace the center of the transformation from C1, we obtain a variety of higher order curves using the same principle in the constructive procedure. PB - Timişoara: Editura Politehnica C3 - Scientific Bulletin of the "POLITEHNICA" University of Timişoara, Romania TRANSACTIONS on HYDROTECHNICS T1 - Generating Curves of Higher Order Using the Generalisation of Hügelschäffer’ Egg Curve construction EP - 114 IS - 1 SP - 110 VL - 58(72) UR - https://hdl.handle.net/21.15107/rcub_grafar_1983 ER -
@conference{ author = "Obradović, Marija and Malešević, Branko and Petrović, Maja and Đukanović, Gordana", year = "2013", abstract = "The starting constructions is the well known ellipse construction using the concentric circles c1 and c2. By eccentricity of the center C2 for some value w, and for the preserved center of the transformation in the center C1, the degree of the obtained curve rises from two to three, as done by mathematician Fritz Hügelschäffer. If we also displace the center of the transformation from C1, we obtain a variety of higher order curves using the same principle in the constructive procedure.", publisher = "Timişoara: Editura Politehnica", journal = "Scientific Bulletin of the "POLITEHNICA" University of Timişoara, Romania TRANSACTIONS on HYDROTECHNICS", title = "Generating Curves of Higher Order Using the Generalisation of Hügelschäffer’ Egg Curve construction", pages = "114-110", number = "1", volume = "58(72)", url = "https://hdl.handle.net/21.15107/rcub_grafar_1983" }
Obradović, M., Malešević, B., Petrović, M.,& Đukanović, G.. (2013). Generating Curves of Higher Order Using the Generalisation of Hügelschäffer’ Egg Curve construction. in Scientific Bulletin of the "POLITEHNICA" University of Timişoara, Romania TRANSACTIONS on HYDROTECHNICS Timişoara: Editura Politehnica., 58(72)(1), 110-114. https://hdl.handle.net/21.15107/rcub_grafar_1983
Obradović M, Malešević B, Petrović M, Đukanović G. Generating Curves of Higher Order Using the Generalisation of Hügelschäffer’ Egg Curve construction. in Scientific Bulletin of the "POLITEHNICA" University of Timişoara, Romania TRANSACTIONS on HYDROTECHNICS. 2013;58(72)(1):110-114. https://hdl.handle.net/21.15107/rcub_grafar_1983 .
Obradović, Marija, Malešević, Branko, Petrović, Maja, Đukanović, Gordana, "Generating Curves of Higher Order Using the Generalisation of Hügelschäffer’ Egg Curve construction" in Scientific Bulletin of the "POLITEHNICA" University of Timişoara, Romania TRANSACTIONS on HYDROTECHNICS, 58(72), no. 1 (2013):110-114, https://hdl.handle.net/21.15107/rcub_grafar_1983 .