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Problems from Another Time

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

Now a pile of rice is against a wall, it has a base perimeter of 60 feet and a height of 12 feet.
A fellow said that when he counted his nuts by twos, threes, fours, fives and sixes, there was still one left over; but when he counted them by sevens they came out even. How many did he have?
A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.
What number which being increased by 1/2, 1/3, and 1/4 of itself, the sum shall be 75?
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods.
Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.
There is a fish whose body weighs 8oz. Tell me how much the whole fish weighs?
A copper water tank in the form of a rectangular parallelopiped is to made. If its length is to be a times its breadth, how high should it be that for a given capacity it should cost as little as possible?
A ladder is placed perpendicular to the plane of the horizon, and in coincidence with the plane of an upright wall.
There is a tree with 100 branches. How many nests, eggs and birds are there?

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