Revisiting floating bodies

  1. Ciaurri, Ó. 1
  2. Fernández, E. 1
  3. Roncal, L. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Aldizkaria:
Expositiones Mathematicae

ISSN: 0723-0869

Argitalpen urtea: 2016

Alea: 34

Zenbakia: 4

Orrialdeak: 396-422

Mota: Artikulua

DOI: 10.1016/J.EXMATH.2016.06.001 SCOPUS: 2-s2.0-84998799663 WoS: WOS:000390501700003 GOOGLE SCHOLAR

Beste argitalpen batzuk: Expositiones Mathematicae

Gordailu instituzionala: lockSarbide irekia Editor

Lotura duten proiektuak

Ortogonalidad y aproximación: teoría y aplicaciones en ciencia y tecnología

2013/00004/001

Ortogonalidad, teoría de la aproximación y aplicaciones en física matemática.

2016/00008/001

Laburpena

The conic sections, as well as the solids obtained by revolving these curves, and many of their surprising properties, were already studied by Greek mathematicians since at least the fourth century B.C. Some of these properties come to the light, or are rediscovered, from time to time. In this paper we characterize the conic sections as the plane curves whose tangent lines cut off from a certain similar curve segments of constant area. We also characterize some quadrics as the surfaces whose tangent planes cut off from a certain similar surface compact sets of constant volume. Our work is developed in the most general multidimensional case. © 2016 Elsevier GmbH