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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 greatest cylinder that can be inscribed in a given cone.
Given a semicircle, Prove that if O is the circle's center, DO=OE.
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.
Of a collection of mango fruits, the king took 1/6; the queen 1/5 the remainder, and the three princes took 1/4, 1/3 and 1/2 (of the same remainder); and the youngest child took the remaining 3 mangoes.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Three vertical posts along a straight canal, each rising to the same height above the surface of the water. By looking at the line of vision, determine, to the nearest mile, the radius of the earth.
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...
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
The answer to the following question is obtained using as optimum strategy-the farmer is getting the "best deal" possible. Can you figure out the solution strategy?...
There is a log 18 feet long, the diameter of the extremities being 1 ft and 2.6 ft respectively...