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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 leech invited a slug for a lunch a leuca away.
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?
Chuquet claimed that if given positive numbers a, b, c, d then (a + b) / (c + d) lies between a/c and b/d. Is he correct? Prove your answer
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.
Determine a number having remainders 2, 3, 2 when divided by 3, 5, 7 respectively.
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 authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
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?
Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.
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.

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