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.
Keywords:
hyperbolism / circle / curve / ellipse / conoid
Source:
Scientific Bulletin of the "POLITEHNICA" University of Timişoara, Romania TRANSACTIONS on HYDROTECHNICS, 2013, 58(72), 1, 110-114
TY - 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 .
