You are here

Problems from Another Time

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

There is a mound of earth in the shape of a frustum of a cone.
A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?
A gentleman has a garden of rectangular form and wants to construct a walk of equal width half way round to take up half the garden. What must be the width of this walk?
There is a regular pentagon. The length of its side is a. Find the area of the pentagon. Generalize your result for a nonagon.
Two men rent a pasture for 100 liras on the understanding that two cows are to be counted as being equivalent to three sheep. The first puts in 60 cows and 85 sheep; the second 80 cows and 100 sheep. How much should each pay?
Two cog-wheels, one having 26 cogs, and the other 20 cogs, run together. In how many revolutions of the larger wheel will the smaller gain in 12 revolutions?
A certain merchant increases the value of his estate by 1/3...
On a certain ground stands two poles 12 feet apart, the lesser pole is 35 ft. in height and the greater 40 ft. It is sought, if the greater pole will lean on the lesser, then in what part will it touch?

Pages

Dummy View - NOT TO BE DELETED