English

Measuring quadric sectors at centre

Metric Geometry 2020-12-10 v9

Abstract

Sectors at centre of affine quadrics with point symmetry are investigated over arbitrary fields of characteristic different from two. As an application we demonstrate nice formulas for the area and the volume of such planar and spatial sectors, respectively, in euclidean space. It seems that up to now there has been atmost little research in this field up to very special cases.

Keywords

Cite

@article{arxiv.1007.0152,
  title  = {Measuring quadric sectors at centre},
  author = {Helmut Kahl},
  journal= {arXiv preprint arXiv:1007.0152},
  year   = {2020}
}

Comments

published in Mitt. Math. Ges. Hamburg 38 (2018); 17 pages, 1 figure; correction of of tetrahedron formula in section 3

R2 v1 2026-06-21T15:43:27.637Z