KoG, Vol. 1. No. 1., 1996.
Izvorni znanstveni članak
Pedal Surfaces of the (1,2) Congruence
Sonja Gorjanc
; Građevinski fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska
Sažetak
In this paper the pedal surfaces of the 1st order and 2nd class congruences are deduced by quartic inversion in projective space, using the methods of synthetic geometry. It is shown that there are the 4th order surfaces with a double line, and the constructive elaboration method is given. For one class of these surfaces the parametric equations are derived, and it is shown how they could be drawn using Mathematica. Some properties of the surfaces are proved and illustrated with the pictures drawn by Mathematica.
Ključne riječi
(1,2) congruence; pedal surfaces of congruences; quartic inversion; 4th order surfaces with one double line; 4th order surfaces with one double line which contain absolute conic; pinch-points
Hrčak ID:
165847
URI
Datum izdavanja:
10.12.1996.
Posjeta: 597 *