You are here

Problems from Another Time

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

I wish to find three numbers of such nature that the first and the second with 1/2 of the third makes 20...
A series of circles have their centers on an equilateral hyperbola and pass through its center. Show that their envelope is a lemniscate.
Given a wooden log of diameter 2 feet 5 inches from which a 7 inch thick board is to be cut, what is the maximum possible width of the board?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Three people buy wood together. One pays the merchant 5 coins, another 3 coins, and the last 2 coins.
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 father left $20,000 to be divided among his four sons ages 6, 8, 10, and 12 years respectively so that each share placed at 4 1/2 compounded interest should amount to the same value when its possessor becomes the age 21.
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.
Curve sketching, tangent lines, and optimization, explored via interactive applets

Pages

Dummy View - NOT TO BE DELETED