Confocal conics and 4-webs of maximal rank

Agafonov, Sergey I. [UNESP]

Confocal conics and 4-webs of maximal rank

Data

2020-12-01

Autores

Agafonov, Sergey I.

Tipo

Artigo

Resumo

Confocal conics form an orthogonal net. Supplementing this net with one of the following: (1) the net of Cartesian coordinate lines aligned along the principal axes of conics, (2) the net of Apollonian pencils of circles whose foci coincide with the foci of conics, (3) the net of tangents to a conic of the confocal family, we get a planar 4-web. We show that each of these 4-webs is of maximal rank and characterize confocal conics from the web theory viewpoint.