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Problems from Another Time

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

A castle has n rooms each of which has 7 samurai in it.
Find two number with sum 20 and when squared their sum is 208.
The square of a certain number multiplied by itself and by 200 is 446,976. What is the number?
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.
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.
If in a circle ABDC, circumscribe an equilateral triangle ABC; the straight line AD is equal to the sum of the two straight lines BD and DC: required a demonstration.
A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall;
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
In one day, a person can make 30 arrows or fletch [put the feathers on] 20 arrows.

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