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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 rectangle, find the line through one vertex of minimum length that passes through the extensions of the two opposite sides.
A castle has n rooms each of which has 7 samurai in it.
Given four integers where if added together three at a time their sums are: 20, 22, 24, and 27. What are the integers?
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?
The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?
In the figure at the left, if the radii of each inscribed circle is 1, what are the dimensions of the bounding rectangle?
There is a four sided field.
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...
When knowing the sum of their ages along with another equation, determine how old a father and son are.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students

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