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Problems from Another Time

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

Find a number having remainder 29 when divided by 30 and remainder 3 when divided by 4.
If in a circle ABDC, circumscribe an equilateral triangle ABC; the straight line AD is equal to the sum of the two straight lines BD and DC: required a demonstration.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall;
Three people buy wood together. One pays the merchant 5 coins, another 3 coins, and the last 2 coins.
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.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
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.
Find two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27.
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.