Pappus' Theorem

Submitted by plusadmin on January 1, 2001

January 2001

Let $A_1, A_2, A_3, B_1, B_2, B_3$ be six distinct points on the plane.

$A_1, A_2$ and $A_3$ are collinear, likewise $B_1, B_2$ and $B_3$ .

Let $C_1$ be the intersection of the lines $A_2B_3$ and $B_2A_3$ .

Let $C_2$ be the intersection of the lines $A_3B_1$ and $B_3A_1$ .

Let $C_3$ be the intersection of the lines $A_1B_2$ and $B_1A_2$ .

Then $C_1, C_2$ and $C_3$ are collinear.

Login to comment or download PDFs