Consider an incidence geometry in which every line has at le

Consider an incidence geometry in which every line has at least three distinct points (rather than at least two as required by the second axiom of Incidence Geometry). What are the least number of points and lines that must exist?

Solution

As per the new incidence rules, at least three points lie on a given line. For drawing two lines there has to be at least 5 lines. Thus a minimum of 5 points and two lines should exist.