Cyclic Product Theorems for Polygons (II) Constructions using Conic Sections

被引：0

作者：

G. C. Shephard

机构：

[1] School of Mathematics,

[2] University of East Anglia,undefined

[3] Norwich NR4 7TJ,undefined

[4] England,undefined

[5] U.K. G.C.Shephard@uea.ac.uk,undefined

来源：

Discrete & Computational Geometry | 2001年 / 26卷

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摘要：

If a point Ui is chosen on each edge of a plane n -gon P , then the product of the n signed ratios in which the points Ui divide the edges of P is called a cyclic product for P . The problem is to find geometric constructions for the Ui such that, for every n -gon P , the cyclic product takes a fixed value. Many constructions are known which use lines or circles. Here we describe constructions that use conic sections.

引用

页码：513 / 526

页数：13

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