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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 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?
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
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?
The highest point of the Andes is about 4 miles above sea level.

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