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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 cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall;
A certain merchant increases the value of his estate by 1/3...
A square circumscribed about a given circle is double in area to a square inscribed in the same circle. True of false? Prove your answer.
Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
Given a guest on horseback rides 300 li in a day. The guest leaves his clothes behind. The host discovers them after 1/3 day, and he starts out with the clothes.
A square walled city of unknown dimensions has four gates, one at the center of each side.
A bridge is built across a river in 6 months by 45 men. It is washed away by the current. Required the number of workmen sufficient to build another of twice as much worth in 4 months.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
There are two piles, one containing 9 gold coins, the other 11 silver coins.

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