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Problems from Another Time

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

Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
A man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.
Two men have a certain amount of money. The first says to the second, "If you give me 5 denari, I will have 7 times what you have left."
Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
Three congruent circles of radius 6 inches are mutually tangent to one another. Compute the area enclosed between them.
If I were to give 7 pennies to each beggar at my door, I would have 24 pennies left in my purse. How many beggars are there and how much money do I have?
A horse halving its speed every day runs 700 miles in 7 days.
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students

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