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Problems from Another Time

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

Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?
There is a round town 8000 feet in circumference.
I have two fields of grain. From the first field I harvest 2/3 a bushel of grain/unit area; from the second, 1/2 bushel/unit area.
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 the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
Now there are six-headed four-legged animals and four-headed two-legged birds placed together.
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
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.

Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.

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