Tehničko veleučilište u Zagrebu · Zagreb

Curve of centers of the special conic section pencil

neobjavljeni prilog sa skupa

neobjavljeni prilog sa skupa

Curve of centers of the special conic section pencil

Vrsta prilog sa skupa (neobjavljen)
Tip neobjavljeni prilog sa skupa
Godina 2023
Status neobjavljeno

Sažetak

In the papers [2], [3] using the facts from the conics theory in the Euclidean,
pseudo-Euclidean and quasi-hyperbolic planes, we have studied and proved numerous facts related to Steiner’s deltoid in various ways. In this paper, the intention
is to see what can be said about the curves of the center in some special pencil of
conics and to show how, studying the center curves in the special pencil of conics a
connection with Steiner’s deltoid curve has been found.

1] Lapaine, M., Krivulja sredista pramena konika, KoG 3 (1998), 35–40.
[2] Sliepcevic, A., Bozic, I., Steiner Curve in a Pencil of Parabolas, KOG 16 (2012),
13–15.
[3] Sliepcevic, A., Bozic, I. , The Analogue of Theorems Related To Wallace-Simson’s
Line in Quasi-Hyperbolic Plane, 16th International Conference on Geometry and
Graphics, 2014
[4] Wieleitner, H., Theorie der ebenen algebraischen Kurven hoherer Ordnung,
G. J. G¨oschen’sche Verlagshandlung, Leipzig, 1905.

Ključne riječi

pencil of conics, deltoid curve, curve of centers