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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

Problems from a 15th century French manuscript, including one with negative solutions
The dimensions of a rectangular box in inches are expressed by three consecutive numbers. The surface of the box is 292 square inches. Find the dimensions.
Now a pile of rice is against a wall, it has a base perimeter of 60 feet and a height of 12 feet.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
What number which being increased by 1/2, 1/3, and 1/4 of itself, the sum shall be 75?
In a given square, inscribe 4 equal circles so that...
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods.
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
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?
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.

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