Skip to main content
Article thumbnail
Location of Repository

Trifold Arrangements and Cevian Dissections

By Vincent J. Matsko, Douglas B. West and John E. Wetzel

Abstract

Abstract We determine precisely how many triple points can be formed in the plane by an arrangement of n lines lying in three parallel families of p; q; r lines, respectively. Using this result we solve the Euclidean realization problem for such arrangements. We apply our results to solve an analogous problem in which a triangle is dissected by three families of cevians. We conclude by mentioning some related unsolved problems

Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.135.4321
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.math.uiuc.edu/~west... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.