Skip to the main content

Original scientific paper

Special sextics with a quadruple line

Sonja Gorjanc ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia
Vladimir Benić ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia


Full text: english pdf 4.565 Kb

page 85-102

downloads: 677

cite


Abstract

This paper deals with a special class of 6th order surfaces with a quadruple straight line in a three-dimensional Euclidean space. These surfaces, denoted by P46, are the pedal surfaces of one special 1st order 4th class congruence C41. The parametric and implicit equations of P46 are derived, some of their properties are proved and their visualizations are given. The singularities of P46 are classified according to the shapes of their tangent cones. The methods applied are analytic, synthetic and algebraic, supported by the program Mathematica 6.

Keywords

congruence of lines; pedal surface; multiple point; pinch-point; tangent cone

Hrčak ID:

37361

URI

https://hrcak.srce.hr/37361

Publication date:

3.6.2009.

Visits: 1.460 *

accessibility

closePristupačnostrefresh

Ako želite spremiti trajne postavke, kliknite Spremi, ako ne - vaše će se postavke poništiti kad zatvorite preglednik.