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Problems from Another Time

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

Determine a number having remainders 2, 3, 2 when divided by 3, 5, 7 respectively.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
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 travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.
In a given square, inscribe 4 equal circles so that...
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A wooden beam is stood vertically against a wall. The length of the beam is 30 units.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.

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