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Problems from Another Time

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

Find a number having remainder 29 when divided by 30 and remainder 3 when divided by 4.
A teacher agreed to teach 9 months for $562.50 and his board. At the end of the term, on account of two months absence caused by sickness, he received only $409.50. What was his board worth per month?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Find the isoceles triangle of smallest area that circumscribes a circle of radius 1.
An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...
There is a right triangle where: the sum of the upright multiplied by itself twice and the hypotenuse multiplied by itself is 700 units; and, the sum of the base multiplied by itself twice and the hypotenuse multiplied by itself is 900 units.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Three men wish to buy a horse but none have a sufficient amount of money for the purchase; to do so they must borrow from each other. How much money does each man have and what is the price of the horse?
Find two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27.
What is the perpendicular height of a cloud when it's angles of elevation were 35 degrees and 64 degrees as taken by two observers?