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Problems from Another Time

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

In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
Two merchants, A and B, loaded a ship with 500 hhds (hogshead) of rum; A loaded 350 hhds, and B the rest; in a storm the seamen were obliged to throw overboard 100 hhds; how much must each sustain of the loss?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?
Given the frustum of a circular cone with height h.
What is the perpendicular height of a cloud when its angles of elevation were 35 degrees and 64 degrees as taken by two observers at the same time...
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
When knowing the sum of their ages along with another equation, determine how old a father and son are.
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?
There is a log of precious wood 18 feet long whose bases are 5 feet and 2.5 feet in circumference. Into what lengths should the log be cut to trisect its volume?

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