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Problems from Another Time

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

There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A fish sees a heron looking at him from across a pool, so he quickly swims towards the south. When he reaches the south side of the pool, he has the unwelcome surprise of meeting the heron.
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.
A man and his wife drink a barrel of wine at different rates. Find the rate it takes both of them together to drink the wine.
Having been given the sum of two numbers,a, and the difference of their squares,b, find the numbers.
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?
Determine the greatest cylinder that can be inscribed in a given cone.