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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.
Thirty flasks-10 full, 10 half-empty, and 10 completely empty- are to be divided among 3 sons so that flasks and contents should be shared equally. How may this be done?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
There are four companies, in one of which there are 6 men, in another 8, and in each of the remaining two, 9 men. How many ways can a committee of 4 men be composed by choosing one man from each company?
Now there are six-headed four-legged animals and four-headed two-legged birds placed together.
Given a rectangle, find the line through one vertex of minimum length that passes through the extensions of the two opposite sides.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
There is a right triangle where: the sum of the upright multiplied by itself twice and the hypotenuse multiplied by itself is 700 units; and, the sum of the base multiplied by itself twice and the hypotenuse multiplied by itself is 900 units.
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
Three men wish to buy a horse but none have a sufficient amount of money for the purchase; to do so they must borrow from each other. How much money does each man have and what is the price of the horse?

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