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Problems from Another Time

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

There were two men, of whom the first had 3 small loaves of bread and the other, 2.
A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?
Prove geometrically that the hypocycloid is a straight line when the radius of the rolling circle is one-half the radius of the fixed circle.
The third part of a necklace of pearls, broken in a lover's quarrel, fell to the ground...
Suppose a man had put out one cent at compound interest in 1620, what would have been the amount in 1824, allowing it to double once in 12 years?
A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.
Given the fraction ax/ (a-x ), convert it into an infinite series.
A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.
Gun metal of a certain grade is composed of 16% tin and 84% copper. How much tin must be added to 410 lbs. of this gun metal to make a composition of 18% tin?
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.