Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.

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A copper water tank in the form of a rectangular parallelopiped is to made. If its length is to be a times its breadth, how high should it be that for a given capacity it should cost as little as possible?

Make a crown of gold copper, tin, and iron weighing 60 minae: gold and copper shall be 2/3 of it; gold and tin, 3/4 of it; and gold and iron, 3/5 of it. Find the required weights of gold, copper, tin, and iron.

Original source material from seventeen mathematicians, with commentary by Stephen Hawking.

A barrel has various holes in it. The fist hole empties the barrel in three days...

A man agreed to pay for 13 valuable houses worth $5000 each, what the last would amount to, reckoning 7 cents for the first, 4 times 7 cents for the second, and so on, increasing the price 4 times on each to the last.

A study of the solution of quartic equations in Cardano's Ars Magna and in the work of Euler and Descartes.

Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...

This meeting will take place at the MAA Carriage House in Washington, DC on April 19, 2008.

Assume that the human population after the flood was 6 and that 200 years later the population was 1,000,000. Find the annual growth of the population.