The Slope Problem

Speaker: 

Shishir Pandey School of Technology and Computer Science Tata Institute of Fundamental Research Homi Bhabha Road <

Time: 

Friday, 31 July 2009 (All day)

Venue: 

Given 3 or more non-collinear points on a plane how many distinct slopes to these points define on the plane? We will prove the following theorem.

Theorem: If n>2 points in the plane do not lie on one single line, then they determine at least n-1 different slopes, where equality is possible only if n is odd and n>3.

Reference: Chapter 9 - The slope problem, from the book - 'Proofs from THE BOOK'.