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Problems from Another Time

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

A teacher agreed to teach 9 months for $562.50 and his board. At the end of the term, on account of two months absence caused by sickness, he received only $409.50. What was his board worth per month?
The third part of a necklace of pearls, broken in a lover's quarrel, fell to the ground...
Find the isoceles triangle of smallest area that circumscribes a circle of radius 1.
Given the fraction ax/ (a-x ), convert it into an infinite series.
In a right triangle, the hypotenuse is 9.434 and the sum of the sides around the right angle is 13. Find the lengths of the sides around the right angle.
A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.
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.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
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.
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.

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