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Problems from Another Time

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

Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Three congruent circles of radius 6 inches are mutually tangent to one another. Compute the area enclosed between them.
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
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.
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.
One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...
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;

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