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Problems from Another Time

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

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.
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;
Given the frustum of a circular cone with height h.
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 garden is the shape of a rhombus whose side is 768.52 feet. Within the garden is an inscribed square flower bed whose side is 396 feet. What is the area of the garden?
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

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