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Pedal Surfaces of First Order Congruences

Sonja Gorjanc ; Građevinski fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska

Sažetak

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.

Ključne riječi

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

Hrčak ID:

47620

URI

https://hrcak.srce.hr/47620

Datum izdavanja:

25.1.2010.

Podaci na drugim jezicima: hrvatski

Posjeta: 1.851 *