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Problems from Another Time

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

Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.
Of the two water reeds, the one grows 3 feet and the other 1 foot on the first day. The growth of the first becomes every day half of that of the preceding day, while the other grows twice as much as on the day before.
Determine a number having remainders 2, 3, 2 when divided by 3, 5, 7 respectively.
The cost per hour of running a certain steamboat is proportional to the cube of its velocity in still water. At what speed should it be run to make a trip up stream against a four-mile current most economically?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Divide 100 loaves of bread among 10 men including a boatman, a foreman, and a doorkeeper, who receives double portions. What is the share of each?
Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.
A set of n disjoint, congruent circles packs the surface of a sphere S so that each region of the surface exterior to the circles is bounded by arcs of three of the circles.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
An oracle ordered a prince to build a sacred building, whose space would be 400 cubits, the length being 6 cubits more than the width, and the width 3 cubits more than the height. Find the dimensions of the building.

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