Naslov
Special nth Order Surfaces with (n-2)-ple Line

Autori
Gorjanc, Sonja

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of 13th International Conference on Geometry and Graphics / - Dresden : Gunter Weiss, 2008

ISBN
978-3-86780-042-6

Skup
13th International Conference on Geometry and Graphics

Mjesto i datum
Dresden, Njemačka, 04.08.2008. - 08.08.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
congruence of lines; inversion; pedal surfaces of congruence; multiple line; multiple point; pinch point

Sažetak
In this paper, in Euclidean space $\mathbb E^3$, we treat the pedal surfaces of special line congruences $\mathcal C^1_{;2k};$ which are of the 1st order and the $2k$th class. We derive the parametric and implicit equations of these surfaces which enable Mathematica visualizations and proving some properties such as their order is $2k+2$, they possess one $2k$-ple straight line and pass through the absolute conic of $E^3$. The properties of their singularities, which do not lie on $2k$-ple line, and of the pinch points on the $2k$-ple line, are also shown.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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