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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 ants are 100 paces apart, crawling back and forth along the same path. The first goes 1/3 pace forward a day and returns 1/4 pace; the other goes forward 1/5 pace and returns 1/6 pace. How many days before the first ant overtakes the second?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
A man plants 4 kernels of corn, which at harvest produce 32 kernels: these he plants the second year; now supposing the annual increase to continue 8 fold, what would be the produce of the 15th year, allowing 1000 kernels to a pint?
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 circle?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A wooden log is encased in a wall. If we cut part of the wall away to a depth of 1 inch...
Knowing the base, b, and the altitude, a, of a triangle. Find the expression for a side of the inscribed square.
Now there are 100 deers [being distributed] in a city. If one household has one deer there is a remainder...Find the number of households in the city.

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