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Problems from Another Time

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

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.
The third part of a necklace of pearls, broken in a lover's quarrel, fell to the ground...
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.
Given the fraction ax/ (a-x ), convert it into an infinite series.
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?
A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.
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.
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 right triangle, let the perpendicular be 5 and the sum of the base and hypotenuse 25. Find the lengths of the base and hypotenuse
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.

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