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Problems from Another Time

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

Determine the different values of x, when a certain function hits a minimum.
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
A carpenter has undertaken to build a house in 20 days. He takes on another man and says; "If we build the house together, we can accomplish the work in 8 days!" How long would it take this other man to build the house working alone?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
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?
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
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.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.

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