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Problems from Another Time

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

In a given square, inscribe 4 equal circles so that...
One person possesses 7 asavas horses, another 9 hayas horses, and another 9 camels. Each gives two animals away, one to each of the others.
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.
Suppose the area of an equilateral triangle be 600. The sides are required.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
A four-sided town measures 1100 feet on one side and 1000 feet on the other side, on one edge 600 and the other edge 600.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
Given a pendulum as shown. The height of the pendulum is two units and its horizontal width is 2 units. What is the area of the pendulum?
A boy gives 11 coins of equal denomination to a man, and the man finds that their total value in yen is 4 less than his age.
Find a number having remainder 29 when divided by 30 and remainder 3 when divided by 4.

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