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Problems from Another Time

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

An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
Find two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
A boy gives 11 coins of equal denomination to a man, and the man finds that their total value in yen is 4 less than his age.
Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25
There were two men, of whom the first had 3 small loaves of bread and the other, 2.
What is the sum of the reciprocals of the triangular numbers?
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?

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