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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.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
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 man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.
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 a given square, inscribe 4 equal circles so that...
There are two piles, one containing 9 gold coins, the other 11 silver coins.
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.