Chapter Two concerns a strong form of the dual of Sylvester's problem in the affine plane. The main result of the chapter is that in an arrangement of n lines in the affine plane, not all of which are parallel, and not all of which pass through a common point, there must be at least 2n-37 affine ordinary points as long as n an 6.In 1980 Goodman  came up with a nice way of compactly visualizing pseudoline arrangements using so-called wiring diagrams. A sample wiring diagram, taken from , is given in Figure 1.77. We consider here just simple pseudolineanbsp;...
|Title||:||Sylvester-Gallai Results and Other Contributions to Combinatorial and Computational Geometry|
|Publisher||:||ProQuest - 2008|