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Problems from Another Time

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

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?
A ladder is placed perpendicular to the plane of the horizon, and in coincidence with the plane of an upright wall.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.
The three sides of a triangular piece of land, taken in order, measure 15, 10, and 13 chains respectively.
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.
There were two men, of whom the first had 3 small loaves of bread and the other, 2.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.

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