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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
How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?
The sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.
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?
To find three quantities x.y, and z...
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?
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?
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...
A merchant gave a university 2,814 ducats on the understanding that he was to be paid back 618 ducats per year for 9 years, at the end of which the 2,814 ducats should be considered as paid.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.

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