Skip to the main content

Original scientific paper

Pedal Surfaces of First Order Congruences

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


Full text: english pdf 2.162 Kb

versions

page 27-42

downloads: 476

cite


Abstract

This paper is an overview of the pedal surfaces {P_n}^{n+2} for
first order line congruences. We describe their construction, prove their algebraic properties, derive parametric and implicit equations and visualize these new resulting surfaces with the program Mathematica in seven examples.

Keywords

congruence of lines; pedal surface of congruence; pinch-point; singular point

Hrčak ID:

47620

URI

https://hrcak.srce.hr/47620

Publication date:

25.1.2010.

Article data in other languages: croatian

Visits: 1.271 *