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Problems from Another Time

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

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 merchant woman buys and sells apples and pears for Denaros. How much did she invest in apples; how much in pears?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
A powerful, unvanquished, excellent black snake, 80 angulas in length, enters into a hole at the rate of 7 1/2 angulas in 5/14 of a day, and in the course of a day its tail grows 11/4 of an angula.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Given the frustum of a circular cone with height h.
A series of circles have their centers on an equilateral hyperbola and pass through its center. Show that their envelope is a lemniscate.
Given a wooden log of diameter 2 feet 5 inches from which a 7 inch thick board is to be cut, what is the maximum possible width of the board?

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