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Problems from Another Time

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

A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods; and he is to pay 1 dollar for each rod in the length of the land and 3 dollars for each rod in the breath of the land.
In a certain lake, swarming with red geese, the tip of a lotus bud was seen to extend a span [9 inches] above the surface of the water.
How long does it take a single man to do work when...
Determine by using algebra the number of degrees in the angle A where: cos A = tan A
Given the dimensions of an isosceles trapezoid find the length of the transversal drawn parallel to the bases that divides the trapezoid into 2 equal areas.
On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.
The number 50 is divided by a certain number. If the divisor is increased by 3, the quotient decreases by 3.75. What is the number?
A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?

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