Measuring quadric sectors at centre
arXiv:1007.0152
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.
published in Mitt. Math. Ges. Hamburg 38 (2018); 17 pages, 1 figure; correction of of tetrahedron formula in section 3