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Problems from Another Time

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

If an arc of 45 degrees on one circumference is equal to an arc of 60 degrees on another circle, what is the ratio of the areas of the circles?
A vessel is anchored in 3 fathoms of water and the cable passes over a sheave in the bowsprit which is 6 ft above the water.
How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?

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