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Problems from Another Time

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

Make of 10 three parts such that one part multiplied by 3 makes as much as the other multiplied by 4 and as the other multiplied by 5.
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.
X, Y and Z hired a pasture for the season for $90.00. Each has a different number of mules and are on the pasture for a different number of days. How much is each to pay?
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.
A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
The three sides of a triangular piece of land, taken in order, measure 15, 10, and 13 chains respectively.
A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?

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