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Problems from Another Time

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

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?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
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.
A fox, a raccoon, and a hound pass through customs and together pay 111 coins.
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.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Now a good horse and an inferior horse set out from Chang'an to Qi. Qi is 3000 li from Chang'an.
The history and mathematics of curve sketching, tangent lines, and optimization, are explored using interactive applets.
The steamer, Katie, leaves the wharf at New Orleans and runs an average speed of 15 mph. When Katie had gone 25 miles, the steamer R.E. Lee leaves the wharf and runs the average speed of 18 mph. How far will the Lee go before she overtakes the Katie?
A farmer sold a team of horses for $440, but did not receive his pay for them until 1 yr, 8 mo after the sale. He had at the same time another offer of $410 for them. Did he gain or lose by the sale and by how much, money being worth 6%/yr?

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