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Problems from Another Time

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

In a given square, inscribe 4 equal circles so that...
If two Post-Boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.
Find two number with sum 20 and when squared their sum is 208.
In a rectangle, given the diagonal and perimeter, find the sides
Suppose that for every 4 cows a farmer has, he should plow 1 acre of land, and allow 1 acre of pasture for every 3 cows; how many cows could he keep on 140 acres?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Three hundred pigs are to be prepared for a feast.
The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.
 
Given a number, take 1/3 of the number away from itself and also remove 2. If this result is multiplied by itself, it equals the number plus 24. What is the number?

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