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Problems from Another Time

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

Given a right triangle where you know the length of the base and the sum of the perpendicular side and the hypotenuse.

A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.
If 40 oranges are worth 60 apples, and 75 apples are worth 7 dozen peaches, and 100 peaches are worth 1 box of grapes and three boxes of grapes are worth 40 pounds of pecans, how many peaches can be bought for 100 oranges?
In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?
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?
A man, woman, and two boys desire to cross a river, but their boat has weight restrictions!
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?

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