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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 horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
Determine the different values of x, when a certain function hits a minimum.
A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?
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 regular pentagon. The length of its side is a. Find the area of the pentagon. Generalize your result for a nonagon.
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
Two men rent a pasture for 100 liras on the understanding that two cows are to be counted as being equivalent to three sheep. The first puts in 60 cows and 85 sheep; the second 80 cows and 100 sheep. How much should each pay?
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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