# Problems from Another Time

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

A person has a circular yard that is 150 ft. in diameter, and wishes a walk of equal width made round it within the fence...
A woodcutter starts to fell a tree 4 feet in diameter, and cuts half way through. One face of the cut is horizontal, and the other face is inclined to the horizontal at an angle of 45 degrees. Find the volume of the wood cut out.
A round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the circumference of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...
A speculator bought stock at 25% below par and sold it at 20% above par. He gained \$1560. How much did he invest?
A carpenter has undertaken to build a house in 20 days. He takes on another man and says; "If we build the house together, we can accomplish the work in 8 days!" How long would it take this other man to build the house working alone?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Curve sketching, tangent lines, and optimization, explored via interactive applets
In a right triangle, let the perpendicular be 5 and the sum of the base and hypotenuse 25. Find the lengths of the base and hypotenuse