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Problems from Another Time

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

Determine the different values of x, when a certain function hits a minimum.
Two persons sat down to play for a certain sum of money; and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
A certain slave fled from Milan to Naples going 1/10 of the whole journey each day. At the beginning of the third day, his master sent a slave after him and this slave went 1/7 of the whole journey each day.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
If you are h feet tall and walk all the way around the Earth, keeping to the same circumference, how much farther has your head gone than your feet when you complete the journey?
A tree 100 units high is 200 units distant from a well; from this tree one monkey climbs down and goes to the well...

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