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Problems from Another Time

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

The cavity of our chimney is an upright parallelepiped, the diagonal of whose base is 60"; and the height of the lower side of the lintel above the plane of the floor is 40".
A barrel has various holes in it. The fist hole empties the barrel in three days...
Given a number, take 1/3 of the number away from itself and add 2. If this result is multiplied by itself, it equals the number plus 24. What is the number?
Determine the different values of x, when a certain function hits a minimum.
If an equilateral triangle whose area is equal to 10,000 square feet be surrounded by a walk of uniform width, and equal to the area of the inscribed circle, what is the width of the walk?
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
Imagine an urn with two balls, each of which may be either white or black. One of these balls is drawn and is put back before a new one is drawn.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Suppose a lighthouse is built on the top of a rock; the distance between a place of observation and that part of the rock level with the eye is 620 yds.
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.

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