Generating Curves of Higher Order Using the Generalisation of Hügelschäffer’ Egg Curve construction
Само за регистроване кориснике
2013
Аутори
Obradović, MarijaMalešević, Branko
Petrović, Maja
Đukanović, Gordana
Остала ауторства
David, IoanКонференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
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.
Кључне речи:
hyperbolism / circle / curve / ellipse / conoidИзвор:
Scientific Bulletin of the "POLITEHNICA" University of Timişoara, Romania TRANSACTIONS on HYDROTECHNICS, 2013, 58(72), 1, 110-114Издавач:
- Timişoara: Editura Politehnica
Финансирање / пројекти:
- Развој нових информационо-комуникационих технологија, коришћењем напредних математичких метода, са применама у медицини, телекомуникацијама, енергетици, заштитити националне баштине и образовању (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
Напомена:
- https://www.ct.upt.ro/buletinhidro/issue_2013_1.htm https://www.ct.upt.ro/buletinhidro/2013-1/025%20Obradovic%20Generating-eu.pdf
Колекције
Институција/група
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 .