Advertisement

Convex Figures and the Function S(F)

  • Alexander Soifer
Chapter

Abstract

A perfect result is achieved, a series of problems is solved. Now what?Well, a good solution to a good problemgeneratesmany new questions. That is why mathematics will always be alive!

We have found an interesting property of the triangle: in any set of five points in a triangle of area S there are three points that forma triangle of area at most S/4. Moreover, five is the minimal number of points in a triangle that guarantees this result.

Keywords

Equilateral Triangle Maximum Area Supporting Line Parallel Projection Pigeonhole Principle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.College of Letters, Arts and SciencesUniversity of Colorado at Colorado SpringsColorado SpringsUSA

Personalised recommendations