You are here

Convergence articles

Displaying 641 - 650 of 659

A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?
On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.
A series of circles have their centers on an equilateral hyperbola and pass through its center. Show that their envelope is a lemniscate.
Page 8, Images from the Paul Halmos Photograph Collection: Armand Borel, Karol Borsuk, Raoul Bott, William Browder, H. Arlen Brown, and R. Creighton Buck
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?
If you are h feet tall and walk all the way around the Earth, keeping to the same circumference, how much farther has your head gone than your feet when you complete the journey?
Page from the table of contents of Robert Recorde's The Grounde of Artes (1543) in which is outlined the first dialogue. This dialogue deals with some of the elements of arithmetic, including the basic operations and the use of the rule of three (or the Golden rule).
Original source material from seventeen mathematicians, with commentary by Stephen Hawking.
Netscape Users
A barrel has various holes in it. The fist hole empties the barrel in three days...