Circular Surfaces - Mathematica Visualizations (CROSBI ID 573013)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Gorjanc, Sonja
engleski
Circular Surfaces - Mathematica Visualizations
This lecture introduces a new concept of surface-construction: We consider a congruence of circles C(P1, P2)= C(p) in the Euclidean space, i.e. a two-parametric set of circles passing through the points P1, P2 given by the coordinates (0, 0, p), where p=√q, qR. It is a normal curve congruence with singular points on the axis z. C(p) is an elliptic, parabolic or hyperbolic congruence, if q is greater, equal or less then 0, respectively. For a piecewise-differentiable curve : IR3, IR, we define a circular surface CS(, p) as the system of circles of C(p) which cut the curve For the surfaces CS(, p) we derive parametric equations which enable their visualizations in the program Mathematica and investigate their properties if is an algebraic curve.
circular surfaces; congruence of circles
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o prilogu
19-19.
2011.
objavljeno
Podaci o matičnoj publikaciji
MatePollak2011
Terezia P. Vendel
Pečuh: Organising Committiee of the Conference
Podaci o skupu
Mathematics in Architecture and Civil Engineering Desing and Education
ostalo
26.05.2011-28.05.2011
Pečuh, Mađarska