Putnam 1953 A1. The complete graph with 6 points and 15 edges has each edge colored red or blue. Show that we can find 3 points such that the 3 edges joining them are the same color.
R is the reals.
Show that the ratio of two of the roots equals the ratio of the other two. To avoid possible copyright problems, I have changed the wording , but not the substance , of all the problems. Out of print, but available in some university libraries.