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Problems from Another Time

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

Three Numbers in France
I wish to find three numbers of such nature that the first and the second with 1/2 of the third makes 20...
Surveying a Field
I was employed to survey a field, which I was told was an exact geometrical square, but by reason of a river running through it, I can only obtain partial measurements.
Wooden Be Board
Given a wooden log of diameter 2 ch'ih 5 ts'un from which a 7 ts'un thick board is to be cut, what is the maximum possible width of the board?
Peano on Wronskians: A Translation - References
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A Basket Case
Rabbits and pheasants are put in a basket.
Sum of a Series
What is the sum of the following series, carried to infinity: 11, 11/7, 11/49, etc.?
Inheritance Problem
A father left $20,000 to be divided among his four sons aged 6, 8, 10, and 12 years respectively, so that each share placed at 4 1/2 percent compounded interest should amount to the same value when its possessor becomes the age 21.
'He Advanced Him 200 Lambs of Gold': The Pamiers Manuscript - About the Author / Acknowledgments
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Washing the Dishes
An official asks a woman why she has so many bowls to wash. The woman explains that she had dinner guests who ate meat, rice, and soup. Judging by the number of bowls, how many guests were there?
Height of the Lighthouse
Suppose a lighthouse is built on the top of a rock; the distance between a place of observation and that part of the rock level with the eye is 620 yds.

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