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Problems from Another Time

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

Given a semicircle, Prove that if O is the circle's center, DO=OE.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Heron of Alexandria (ca 200) wrote on many aspects of applied mathematics.
Of a collection of mango fruits, the king took 1/6; the queen 1/5 the remainder, and the three princes took 1/4, 1/3 and 1/2 (of the same remainder); and the youngest child took the remaining 3 mangoes.
Three vertical posts along a straight canal, each rising to the same height above the surface of the water. By looking at the line of vision, determine, to the nearest mile, the radius of the earth.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
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?
The answer to the following question is obtained using as optimum strategy-the farmer is getting the "best deal" possible. Can you figure out the solution strategy?...
I am a brazen lion; my spouts are my 2 eyes, my mouth, and the flat of my foot. My right eye fills a jar in 2 days, my left eye in 3, and my foot in 4.
A man and his wife drink a barrel of wine at different rates. Find the rate it takes both of them together to drink the wine.

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