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Problems from Another Time

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

Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
Gun metal of a certain grade is composed of 16% tin and 84% copper. How much tin must be added to 410 lbs. of this gun metal to make a composition of 18% tin?
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
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.
Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?
Given a pyramid 300 cubits high, with a square base 500 cubits to a side, determine the distance from the center of any side to the apex.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A tree 100 units high is 200 units distant from a well; from this tree one monkey climbs down and goes to the well...

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