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Problems from Another Time

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

There is a round town 8000 feet in circumference.
The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.

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
Now there are six-headed four-legged animals and four-headed two-legged birds placed together.
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
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.

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