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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 rectangle, find the line through one vertex of minimum length that passes through the extensions of the two opposite sides.
The highest point of the Andes is about 4 miles above sea level.
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.
In order to encourage his son in the study of arithmetic, a father agrees to pay him 8 pennies for every problem solved correctly and to charge him 5 pennies for each incorrect solution.
Three men wish to buy a horse but none have a sufficient amount of money for the purchase; to do so they must borrow from each other. How much money does each man have and what is the price of the horse?
There is a round town 8000 feet in circumference.
What is the perpendicular height of a cloud when it's angles of elevation were 35 degrees and 64 degrees as taken by two observers?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
How much does Landowner A give to each worker knowing Landowner B gives a certain amount more and has few workers.
When knowing the sum of their ages along with another equation, determine how old a father and son are.

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