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Problems from Another Time


A square walled city measures 10 li on each side. At the center of each side is a gate. Two persons start walking from the center of the city.
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
A lady being asked how old she was at the time of her marriage replied that the age of her oldest son was 13; that he was born 2 years after her marriage...
Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?
There is a log 18 feet long, the diameter of the extremities being 1 ft and 2.6 ft respectively...
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.