You are here

Convergence articles

Displaying 81 - 90 of 651

A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
A lady being asked how old she was at the time of her marriage replied that the age of her oldest son was 13; that he was born 2 years after her marriage...
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.

Mesopotamian accounting evolved from simple clay token counters to a number-recording system that included impressions of these tokens on clay tablets.

A series of circles have their centers on an equilateral hyperbola and pass through its center. Show that their envelope is a lemniscate.
This is the title page of the 1779 edition of the works of Isaac Newton known at that time. Note that this is a much shorter book than the recent eight volume collection of Newton's mathematical papers, edited by Derek Whiteside.
A copper water tank in the form of a rectangular parallelopiped is to made. If its length is to be a times its breadth, how high should it be that for a given capacity it should cost as little as possible?
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?
Original source material from seventeen mathematicians, with commentary by Stephen Hawking.