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Problems from Another Time

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

Having been given the sum of two numbers,a, and the difference of their squares,b, find the numbers.
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.
Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
A square walled city of unknown dimensions has four gates, one at the center of each side.
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.
There are two piles, one containing 9 gold coins, the other 11 silver coins.
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?

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