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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 height of a window.
To find three quantities x.y, and z...
A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more.
A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.
My age is a number consisting of two digits, 1/2 of this number is a mean proportional between these two digits, and two years hence, my age will be a third proportional to the same two digits, directly as they stand in my present age.
In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?
Given a triangular piece of land having two sides 10 yards in length and its base 12 yards, what is the largest square that can be constructed within this piece of land so that one of its sides lies along the base of the triangle?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
What is the sum of the following series, carried to infinity: 11, 11/7, 11/49, etc.?
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"