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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.
One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?
The highest point of the Andes is about 4 miles above sea level.
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.
In order to encourage his son in the study of arithmetic, a father agrees to pay him 8 pennies for every problem solved correctly and to charge him 5 pennies for each incorrect solution.
In a rectangle, having given the diagonal and perimeter, find the sides
There is a round town 8000 feet in circumference.
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.

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