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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?
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
The highest point of the Andes is about 4 miles above sea level.
A man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.
Twenty-three weary travelers entered a delightful forest. There they found 63 numerically equal piles of plantain fruit.
Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
There is a round town 8000 feet in circumference.
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.