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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.
Age
My age is a number consisting of two digits, 1/2 of this number is a mean proportional between these two digits, and two years hence, my age will be a third proportional to the same two digits, directly as they stand in my present age.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Thirty flasks-10 full, 10 half-empty, and 10 completely empty- are to be divided among 3 sons so that flasks and contents should be shared equally. How may this be done?
Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.
There are four companies, in one of which there are 6 men, in another 8, and in each of the remaining two, 9 men. How many ways can a committee of 4 men be composed by choosing one man from each company?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Given a rectangle, find the line through one vertex of minimum length that passes through the extensions of the two opposite sides.
A wooden beam is stood vertically against a wall. The length of the beam is 30 units.
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.

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