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Problems from Another Time

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

After a terrible battle it is found that 70% of the soldiers have lost an eye.
I have two fields of grain. From the first field I harvest 2/3 a bushel of grain/unit area; from the second, 1/2 bushel/unit area.
Problems from a 15th century French manuscript, including one with negative solutions
Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
Now a pile of rice is against a wall, it has a base perimeter of 60 feet and a height of 12 feet.
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.

What number which being increased by 1/2, 1/3, and 1/4 of itself, the sum shall be 75?
A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods.

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