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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 number of 3 digits in base 7 has the same three digits...
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
If two Post-boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...
A wooden log is encased in a wall. If we cut part of the wall away to a depth of 1 inch...
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.
Determine by using algebra the number of degrees in the angle A where: cos A = tan A
On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.
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;