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Problems from Another Time

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

Peano on Wronskians: A Translation - Acknowledgment and About the Authors
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Family Travels
Now there are three sisters who leave home together.
The Ruins of Persepolis
There are two columns in the ruins of Persepolis left standing upright; one is 70 ft. above the plane, and the other 50 ft;
Inscribed Circle
Given: a circle with an inscribed equilateral triangle. The triangle has sides which are 12 cubits long. What is the area of the circle?
'He Advanced Him 200 Lambs of Gold': The Pamiers Manuscript - Bibliography
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Doing Some Gardening
There is a garden is the shape of a rhombus whose side is 577.5 feet. Within the garden is an inscribed square flower bed whose side is 396 feet. What is the area of the garden?
Bridge Over Troubled Waters
A bridge is built across a river in 6 months by 45 men. It is washed away by the current. Find the number of workmen sufficient to build another of twice as much worth in 4 months.
Dimensions of a Box
The dimensions of a rectangular box in inches are expressed by three consecutive numbers. The surface of the box is 292 square inches. Find the dimensions.
A Tower on a Cliff
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
Dealing in Sheep
A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?

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