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Problems from Another Time

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

A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?
It is required to determine whether 30 horses can be put into 7 stalls; so that in every stall there may be, either a single horse, or an odd number of horses.
One military horse cannot pull a load of 40 dan; neither can 2 ordinary horses, nor can three inferior horses.
One says that 10 garments were purchased by two men at a price of 72 dirhams. The garments varied in value. The price of each garment of one man is 3 dirhams more than the price for each garment of the other. How many garments did each man buy?
Three men have a pile of money, their shares being 1/2, 1/3 and 1/6. Each man takes some money from the pile until nothing is left.
There are two columns in the ruins of Persepolis left standing upright; one is 70 ft. above the plane, and the other 50 ft;
A person has a circular yard that is 150 ft. in diameter, and wishes a walk of equal width made round it within the fence...
If 12 cattle eat up 3 1/3 acres of meadow in 4 weeks and 21 cattle eat up 10 acres of exactly similar meadow in 9 weeks, how many cattle shall eat up 36 acres in 18 weeks? (Hint: The grass continues to grow.)
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
If a ball 6 inches in diameter weighs 32 lbs, what will be the weight of a ball 3 inches in diameter?

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