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Problems from Another Time

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

Given the fraction ax/ (a-x ), convert it into an infinite series.
Find the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27
A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.
How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Two men start walking at the same time and travel a distance. One is walking faster and completes the journey sooner. How fast did each man travel?
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
There is a log of precious wood 18 feet long whose bases are 5 feet and 2.5 feet in circumference. Into what lengths should the log be cut to trisect its volume?
A wooden log is encased in a wall. If we cut part of the wall away to a depth of 1 inch...