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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 radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.
Determine the different values of x, when a certain function hits a minimum.
If in a circle ABDC, circumscribe an equilateral triangle ABC; the straight line AD is equal to the sum of the two straight lines BD and DC: required a demonstration.
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall;
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 square circumscribed about a given circle is double in area to a square inscribed in the same circle. True of false? Prove your answer.
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
Given a guest on horseback rides 300 li in a day. The guest leaves his clothes behind. The host discovers them after 1/3 day, and he starts out with the clothes.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students