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Problems from Another Time

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

Two cog-wheels, one having 26 cogs, and the other 20 cogs, run together. In how many revolutions of the larger wheel will the smaller gain in 12 revolutions?
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
A certain merchant increases the value of his estate by 1/3...
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 the greatest value of y in the equation a4 x2= (x2 + y2)3.
There were two men, of whom the first had 3 small loaves of bread and the other, 2.
A square walled city of unknown dimensions has four gates, one at the center of each side.
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Fibonacci gave a practical rule for approximating the area of an equilateral triangle.

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