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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 certain gentleman ordered that 90 measures of grain were to be transported from his house to another, 30 leucas distant.
A guest on horseback rides 300 li in a day. The guest leaves his clothes behind and the host rides off to catch up with the guest once he discovers the clothes. Assuming the host rides without stop tell how far he can go in a day?
Given the cats eye as shown. Let the radius of the eye be given by R. What is the area of the pupil?
I have two fields of grain. From the first field I harvest 2/3 a bushel of grain/unit area; from the second, 1/2 bushel/unit area.
I wish to find three numbers of such nature that the first and the second with 1/2 of the third makes 20...
Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
Three people buy wood together. One pays the merchant 5 coins, another 3 coins, and the last 2 coins.
The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.

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