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Problems from Another Time

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

Find the area of the elliptical segment cut off parallel to the shorter axis;
A number of 3 digits in base 7 has the same three digits...
A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.
If two Post-boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...
In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?
The square of a certain number multiplied by itself and by 200 is 446,976. 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.
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?
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
The cavity of our chimney is an upright parallelepiped, the diagonal of whose base is 60"; and the height of the lower side of the lintel above the plane of the floor is 40".

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