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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 sum of two numbers is 10 and their product is 40. What are the numbers?
Given the fraction ax/ (a-x ), convert it into an infinite series.
In baking a hemispherical loaf of bread of 10" radius, the crust was everywhere of an equal thickness, and the solidity of the crust was equal to half the solid content of the whole loaf. What were the dimensions of the interior soft part?
A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.
Given a triangular piece of land having two sides 10 yards in length and its base 12 yards, what is the largest square that can be constructed within this piece of land so that one of its sides lies along the base of the triangle?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
What is the sum of the following series, carried to infinity: 11, 11/7, 11/49, etc.?
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
Suppose that the propability of success in an experiment is 1/10. How many trials of the experiment are necessary to insure even odds on it happening at least once?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students

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