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Problems from Another Time

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

The third part of a necklace of pearls, broken in a lover's quarrel, fell to the ground...
There is a tree with 100 branches. How many nests, eggs and birds are there?
Given the fraction ax/ (a-x ), convert it into an infinite series.
Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.
A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.
A cylindrical tin tomato can is to be made which shall have a given capacity. Find what should be the ratio of the height to the radius of the base that the smallest possible amount of tin shall be required.
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 round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the center of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.

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