You are here

Problems from Another Time

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

A cat sitting on a wall 4 cubits high saw a rat prowling 8 cubits from the foot of the wall;
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 square circumscribed about a given circle is double in area to a square inscribed in the same circle. True of false? Prove your answer.
Given a guest on horseback rides 300 li in a day. The guest leaves his clothes behind. The host discovers them after 1/3 day, and he starts out with the clothes.
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.
A bridge is built across a river in 6 months by 45 men. It is washed away by the current. Required the number of workmen sufficient to build another of twice as much worth in 4 months.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25

Pages

Dummy View - NOT TO BE DELETED