# Problems from Another Time

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

The square root of half the number of bees in a swarm has flown out upon a jessamine bush; 8/9 of the swarm has remained behind.
A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?
One military horse cannot pull a load of 40 dan; neither can 2 ordinary horses, nor can three inferior horses.
A man hired a horse in London at 3 pence a mile. He rode 94 miles due West to Bristol then due north to Chester, whence he returned toward London for 66 miles, which put him in Coventry.
A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
Three men have a pile of money, their shares being 1/2, 1/3 and 1/6. Each man takes some money from the pile until nothing is left.
A person has a circular yard that is 150 ft. in diameter, and wishes a walk of equal width made round it within the fence...
A speculator bought stock at 25% below par and sold it at 20% above par. He gained \$1560. How much did he invest?
Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area 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.