You are here

Problems from Another Time

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

Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
A powerful, unvanquished, excellent black snake, 80 angulas in length, enters into a hole at the rate of 7 1/2 angulas in 5/14 of a day, and in the course of a day its tail grows 11/4 of an angula.
After a terrible battle it is found that 70% of the soldiers have lost an eye.
A man hired a horse in London at 3 pence a mile. He rode 94 miles due West to Bristol then due north to Chester, whence he returned toward London for 66 miles, which put him in Coventry.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
A wooden beam is stood vertically against a wall. The length of the beam is 30 units.
A speculator bought stock at 25% below par and sold it at 20% above par. He gained $1560. How much did he invest?
Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area of the circle?