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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 the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
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."
How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?
Two men start walking at the same time and travel a distance. One is walking faster and completes the journey sooner. How fast did each man travel?
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.
There is a log of precious wood 18 feet long whose bases are 5 feet and 2.5 feet in circumference. Into what lengths should the log be cut to trisect its volume?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
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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