Category Archives: Math

I’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.

A coast artillery gun can fire at any angle of elevation between 0^\circ and 90^\circ in a fixed vertical plane. If air resistance is neglected and the muzzle velocity is constant(=v_0), determine the set H of points in the plane and above the horizontal which can be hit.

A Politically relevant math problem!

For reference this is: 1947 A4

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This is the result of much boredom. Made with texlive for mac.


Find the probability that 10 points randomly selected on a sphere are within a hemisphere of each other.