# Problems from Another Time

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

A two door gate of unknown width is opened so that a 2 ts'un gap exists between the two doors.
A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.
A man agreed to pay for 13 valuable houses worth \$5000 each, what the last would amount to, reckoning 7 cents for the first, 4 times 7 cents for the second, and so on, increasing the price 4 times on each to the last.
A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Find two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27.
If 80 dollars worth of provisions will serve 20 men for 25 days, what number of men will the same amount of provisions serve for 10 days?