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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...
There is a fish whose body weighs 8oz. Tell me how much the whole fish weighs?
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.
There is a tree with 100 branches. How many nests, eggs and birds are there?
Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
A cylindrical tin tomato can is to be made which shall have a given capacity. Find what should be the ratio of the height to the radius of the base that the smallest possible amount of tin shall be required.
A round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the center of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?

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