Theorems in Finite Projective Planes: Properties of Points and Lines - Prof. Ma Filaseta, Assignments of Mathematics

Download Theorems in Finite Projective Planes: Properties of Points and Lines - Prof. Ma Filaseta and more Assignments Mathematics in PDF only on Docsity! Math 532: Homework 2 Prove the following: Theorem 1. Each point in a finite projective plane of order n has exactly n + 1 lines passing through it. Theorem 2. In a finite projective plane of order n, each line has exactly n + 1 points on it. Theorem 3. A finite projective plane of order n contains exactly n2 + n + 1 points and exactly n2 + n + 1 lines.