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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.
In a right triangle, let the perpendicular be 5 and the sum of the base and hypotenuse 25. Find the lengths of the base and hypotenuse
Four men already having denari found a purse of denari; each man has a different amount of denari before they found the purse. Find out how much denari each man has.
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.
Two officers each have a company of men, the one has 40 less than the other.
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods; and he is to pay 1 dollar for each rod in the length of the land and 3 dollars for each rod in the breath of the land.
How long does it take a single man to do work when...
A number is required; that the square shall be equal to twice the cube.
A leech invited a slug for a lunch a leuca away.
Given the dimensions of an isosceles trapezoid find the length of the transversal drawn parallel to the bases that divides the trapezoid into 2 equal areas.