Projection of the Semi-Axes of the Ellipse of Intersection

• 作者: P. P. Klein
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Ellipsoid and Plane INTERSECTION PROJECTION of the Semi-Axes of the ELLIPSE of INTERSECTION
• 年，卷（期）: yysxyw_2017,（9）
• 页码范围: 1320-1335
• 页数: 16页
• 分类号: O1

摘要

It is well known that the line of intersection of an ellipsoid and a plane is an ellipse (see for instance [1]). In this note the semi-axes of the ellipse of intersection will be projected from 3d space onto a 2d plane. It is shown that the projected semi-axes agree with results of a method used by Bektas [2] and also with results obtained by Schrantz [3].