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Problems from Another Time

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

The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.

How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?
Given the frustum of a circular cone with height h.
A fellow said that when he counted his nuts by twos, threes, fours, fives and sixes, there was still one left over; but when he counted them by sevens they came out even. How many did he have?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.

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