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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 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.
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
In Archimedes' Book of Lemmas (ca 250), he introduces a figure that, due to its shape, has historically been known as "the shoemaker's knife" or arbelos.
Fibonacci gave a practical rule for approximating the area of an equilateral triangle.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
The dimensions of a rectangular box in inches are expressed by three consecutive numbers. The surface of the box is 292 square inches. Find the dimensions.
In a certain lake, swarming with red geese, the tip of a lotus bud was seen to extend a span [9 inches] above the surface of the water.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
Determine by using algebra the number of degrees in the angle A where: cos A = tan A

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