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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.
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 guest on horseback rides 300 li in a day. The guest leaves his clothes behind and the host rides off to catch up with the guest once he discovers the clothes. Assuming the host rides without stop tell how far he can go in a day?
Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.
I have two fields of grain. From the first field I harvest 2/3 a bushel of grain/unit area; from the second, 1/2 bushel/unit area.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
A wooden beam is stood vertically against a wall. The length of the beam is 30 units.
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.

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