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Problems from Another Time

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

You have two sums of money, the difference of which is 2 dirhams; you divide the smaller sum by the larger and the quotient is equal to 1/2. What are the two sums of money?
A ladder is placed perpendicular to the plane of the horizon, and in coincidence with the plane of an upright wall.
An old Chinese general led his army to a river with a steep bank. Standing atop the bank, he held a stick 6 feet long perpendicular to himself.
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.
Make a crown of gold copper, tin, and iron weighing 60 minae: gold and copper shall be 2/3 of it; gold and tin, 3/4 of it; and gold and iron, 3/5 of it. Find the required weights of gold, copper, tin, and iron.
The three sides of a triangular piece of land, taken in order, measure 15, 10, and 13 chains respectively.
If a ladder, placed 8 ft. from the base of a building 40 ft. high, just reached the top, how far must it be placed from the base of the building that it may reach a point 10 ft. from the top?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Assume that the human population after the flood was 6 and that 200 years later the population was 1,000,000. Find the annual growth of the population.
After a terrible battle it is found that 70% of the soldiers have lost an eye.

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