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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 the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.
Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...
What is the perpendicular height of a cloud when its angles of elevation were 35 degrees and 64 degrees as taken by two observers at the same time...
When knowing the sum of their ages along with another equation, determine how old a father and son are.
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 man, woman, and two boys desire to cross a river, but their boat has weight restrictions!
A California miner has a spherical ball of gold, 2 inches in diamter, which he wants to exchange for spherical balls 1 inch in diameter. How many of the smaller spheres should he receive?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
The sum of two numbers is 10 and their product is 40. What are the numbers?
Heron of Alexandria (ca 200) wrote on many aspects of applied mathematics.

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