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Problems from Another Time

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

Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Now there are six-headed four-legged animals and four-headed two-legged birds placed together.
Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
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.
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
In a rectangle, having given the diagonal and perimeter, find the sides
Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.

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