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Problems from Another Time

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

The third part of a necklace of pearls, broken in a lover's quarrel, fell to the ground...
Three congruent circles of radius 6 inches are mutually tangent to one another. Compute the area enclosed between them.
Given the fraction ax/ (a-x ), convert it into an infinite series.
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
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.
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall;