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Problems from Another Time

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

Gun metal of a certain grade is composed of 16% tin and 84% copper. How much tin must be added to 410 lbs. of this gun metal to make a composition of 18% tin?
A gentleman has a garden of rectangular form and wants to construct a walk of equal width half way round to take up half the garden. What must be the width of this walk?
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
Two cog-wheels, one having 26 cogs, and the other 20 cogs, run together. In how many revolutions of the larger wheel will the smaller gain in 12 revolutions?
Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?
A certain merchant increases the value of his estate by 1/3...
Given a pyramid 300 cubits high, with a square base 500 cubits to a side, determine the distance from the center of any side to the apex.
Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
In a rectangle, having given the diagonal and perimeter, find the sides
A square walled city of unknown dimensions has four gates, one at the center of each side.