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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?
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
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 authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
There is a fish whose body weighs 8oz. Tell me how much the whole fish weighs?
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...
There is a tree with 100 branches. How many nests, eggs and birds are there?

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