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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 guest on horseback rides 300 li in a day. The guest leaves his clothes behind and the host rides off to catch up with the guest once he discovers the clothes. Assuming the host rides without stop tell how far he can go in a day?
Determine the different values of x, when a certain function hits a minimum.
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.
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
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.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
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?
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
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.

How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students

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