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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 barrel has various holes in it. The fist hole empties the barrel in three days...
A bridge is built across a river in 6 months by 45 men. It is washed away by the current. Required the number of workmen sufficient to build another of twice as much worth in 4 months.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
Given the fraction ax/ (a-x ), convert it into an infinite series.
A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.
A man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.
Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Three congruent circles of radius 6 inches are mutually tangent to one another. Compute the area enclosed between them.
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.

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