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Problems from Another Time

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

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.
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
Problems from a 15th century French manuscript, including one with negative solutions
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.

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