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Problems from Another Time

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

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.
Twenty-three weary travelers entered a delightful forest. There they found 63 numerically equal piles of plantain fruit.
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?
There is a round town 8000 feet in circumference.
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?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Given a rectangle, find the line through one vertex of minimum length that passes through the extensions of the two opposite sides.
Now there are six-headed four-legged animals and four-headed two-legged birds placed together.
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

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