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

    GRID grid.119021.a

Journal:
Expositiones Mathematicae

ISSN: 0723-0869

Year of publication: 2016

Volume: 34

Issue: 4

Pages: 396-422

Type: Article

Export: RIS
DOI: 10.1016/j.exmath.2016.06.001 SCOPUS: 2-s2.0-84998799663 WoS: 000390501700003 GOOGLE SCHOLAR

Metrics

Cited by

  • Scopus Cited by: 1 (12-06-2021)

Journal Citation Reports

  • Year 2016
  • Journal Impact Factor: 0.667
  • Best Quartile: Q2
  • Area: MATHEMATICS Quartile: Q2 Rank in area: 145/311 (Ranking edition: SCIE)

SCImago Journal Rank

  • Year 2016
  • SJR Journal Impact: 0.619
  • Best Quartile: Q2
  • Area: Mathematics (miscellaneous) Quartile: Q2 Rank in area: 143/427

CiteScore

  • Year 2016
  • CiteScore of the Journal : 1.0
  • Area: Mathematics (all) Percentile: 50

Abstract

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