## 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:

- A-212 (STCS Seminar Room)

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'.