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Problems from Another Time

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

If you are h feet tall and walk all the way around the Earth, keeping to the same circumference, how much farther has your head gone than your feet when you complete the journey?
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.
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.
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 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?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
In Archimedes' Book of Lemmas (ca 250), he introduces a figure that, due to its shape, has historically been known as "the shoemaker's knife" or arbelos.
A speculator bought stock at 25% below par and sold it at 20% above par. He gained $1560. How much did he invest?

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