# Problems from Another Time

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

A round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the center of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?
A square walled city measures 10 li on each side. At the center of each side is a gate. Two persons start walking from the center of the city.
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
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 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?
A lady being asked how old she was at the time of her marriage replied that the age of her oldest son was 13; that he was born 2 years after her marriage...
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?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
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.
There is a log 18 feet long, the diameter of the extremities being 1 ft and 2.6 ft respectively...