These pdfs are excellent
Archive for the ‘Math’ Category
A Penny in a Corner
In Math, Uncategorized on August 22, 2007 at 3:36 amI’d like to see a solution to this:
1948 B2: “A penny in a corner.” A circle moves so that it is continually in contact with all three coordinate planes of an ordinary rectangular system. Find the locus of the center of the circle.
World War II Putnam Problem
In Math on August 18, 2007 at 12:02 amA coast artillery gun can fire at any angle of elevation between
and
in a fixed vertical plane. If air resistance is neglected and the muzzle velocity is constant(
), determine the set
of points in the plane and above the horizontal which can be hit.
A Politically relevant math problem!
For reference this is: 1947 A4
Math! Arcade Games!
In Math on August 15, 2007 at 8:15 pmTake a stab
In Math on November 15, 2005 at 6:34 amFind the probability that 10 points randomly selected on a sphere are within a hemisphere of each other.
