Pappus' Theorem
Finite Geometry of Pappus
Let A,B,C be three points on astraight line and let X,Y,Z be three points on another line. If the lines AY,
BZ, CX intersect the lines BX, CY, AZ respectively, then the three points of
intersection D, E, F are collinear.1. If point B is moved to theother side of point C, do the points D,E,F remain collinear?
Yes, these pointsremain collinear.2. Discover and explain theconditions under which lines AB, XY, and DE meet at a point?
According to Pappus’theorem , if points A,B,C are on the line and X,Y, and Z are on the other line
then the points of intersection of the lines AY, BZ, CX,BX, CY, and AZ lie on
the common D,E,F which is called the Pappus line of the configuration.