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Problems from Another Time

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

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.
Find the isoceles triangle of smallest area that circumscribes a circle of radius 1.
In a right triangle, the hypotenuse is 9.434 and the sum of the sides around the right angle is 13. Find the lengths of the sides around the right angle.
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.
Four men already having denari found a purse of denari; each man has a different amount of denari before they found the purse. Find out how much denari each man has.
Having been given the sum of two numbers,a, and the difference of their squares,b, find the numbers.
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods; and he is to pay 1 dollar for each rod in the length of the land and 3 dollars for each rod in the breath of the land.
Determine the greatest cylinder that can be inscribed in a given cone.
How much does Landowner A give to each worker knowing Landowner B gives a certain amount more and has few workers.
A square walled city of unknown dimensions has four gates, one at the center of each side.

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