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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...
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.
Determine by using algebra the number of degrees in the angle A where: cos A = tan A
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?
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.
One military horse cannot pull a load of 40 dan; neither can 2 ordinary horses, nor can three inferior horses.
There were two men, of whom the first had 3 small loaves of bread and the other, 2.