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Problems from Another Time

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

How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Three congruent circles of radius 6 inches are mutually tangent to one another. Compute the area enclosed between them.
Rabbits and pheasants are put in a basket.
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.
There is a number which when divided by 2, or 3, or 4, or 5, or 6 always has a remainder of 1 and is truly divisible by 7. It is sought what is the number?
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;
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.

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