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Problems from Another Time

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

Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area of the circle?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
There is a mound of earth in the shape of a frustum of a cone.
If 80 dollars worth of provisions will serve 20 men for 25 days, what number of men will the same amount of provisions serve for 10 days?
Two persons sat down to play for a certain sum of money; and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A gentleman has a garden of rectangular form and wants to construct a walk of equal width half way round to take up half the garden. What must be the width of this walk?
A certain slave fled from Milan to Naples going 1/10 of the whole journey each day. At the beginning of the third day, his master sent a slave after him and this slave went 1/7 of the whole journey each day.
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?
Two cog-wheels, one having 26 cogs, and the other 20 cogs, run together. In how many revolutions of the larger wheel will the smaller gain in 12 revolutions?

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