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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 rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
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?
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.
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
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
On a certain ground stands two poles 12 feet apart, the lesser pole is 35 ft. in height and the greater 40 ft. It is sought, if the greater pole will lean on the lesser, then in what part will it touch?
Given the frustum of a circular cone with height h.