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Problems from Another Time

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

Three circles of varying radius are mutually tangent. The area of the triangle connecting their centers is given. Find the radius of the third circle.
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
Two officers each have a company of men, the one has 40 less than the other.
What it took to get an 8th grade education in 1895
A number is required; that the square shall be equal to twice the cube.
A lion, a wolf and a fox each take a certain amount of time to eat a goat separately. How long would it take all these animals together to eat the goat?
A leech invited a slug for a lunch a leuca away.
Chuquet claimed that if given positive numbers a, b, c, d then (a + b) / (c + d) lies between a/c and b/d. Is he correct? Prove your answer
Three persons bought a sugar loaf in the form of a perfect cone 25"" high and agreed to divide it...what was the slant height of each one's share?
Determine a number having remainders 2, 3, 2 when divided by 3, 5, 7 respectively.

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