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Problems from Another Time

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

How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall;
Now there are three sisters who leave home together.
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.
There is a four-sided field whose eastern side measures 35 paces, its western side 45 paces, its southern side 25 paces and its northern side 15 paces. Find the area of this field.
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 triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
The sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.

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