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Problems from Another Time

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

Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
If 40 oranges are worth 60 apples, and 75 apples are worth 7 dozen peaches, and 100 peaches are worth 1 box of grapes and three boxes of grapes are worth 40 pounds of pecans, how many peaches can be bought for 100 oranges?
A square walled city of unknown dimensions has four gates, one at the center of each side.
One hundred men besieged in a castle, have sufficient food to allow each one bread to the weight of 14 lot a day for ten months.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
A merchant woman buys and sells apples and pears for Denaros. How much did she invest in apples; how much in pears?
There are two piles, one containing 9 gold coins, the other 11 silver coins.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
There is a mound of earth in the shape of a frustum of a cone.

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