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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 certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A tree 100 units high is 200 units distant from a well; from this tree one monkey climbs down and goes to the well...
A man plants 4 kernels of corn, which at harvest produce 32 kernels: these he plants the second year; now supposing the annual increase to continue 8 fold, what would be the produce of the 15th year, allowing 1000 kernels to a pint?
If an arc of 45 degrees on one circumference is equal to an arc of 60 degrees on another circle, what is the ratio of the areas of the circle?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
What will the diameter of a sphere be, when its volume and surface area are expressed by the same number?
Knowing the base, b, and the altitude, a, of a triangle. Find the expression for a side of the inscribed square.
A man has four creditors. To the first he owes 624 ducats; to the second, 546; to the third, 492; and to the fourth 368.
Now there are 100 deers [being distributed] in a city. If one household has one deer there is a remainder...Find the number of households in the city.

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