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Problems from Another Time

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

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.
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.
The purchase price for an apple and an orange is 100 yen. When n oranges and n + 3 apples are bought the price is 520 yen. Find the number n of oranges and the price of one orange.
How long does it take a single man to do work when...
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.
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.
Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...
The number 50 is divided by a certain number. If the divisor is increased by 3, the quotient decreases by 3.75. What is the number?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.

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