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Problems from Another Time

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

There are two numbers which are to each other as 5 and 6 and the sum of their squares is 2196. What are the numbers?
Suppose a ladder 60 feet long is placed in a street so as to reach a window 37 feet above the ground on one side of the street...
In a right triangle, the hypotenuse is 9.434 and the sum of the sides around the right angle is 13. Find the lengths of the sides around the right angle.
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?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
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 much does Landowner A give to each worker knowing Landowner B gives a certain amount more and has few workers.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Given the frustum of a circular cone with height h.