You are here

Convergence articles

Displaying 41 - 50 of 659

A new sourcebook containing the works in their original form along with a translation and a brief commentary.
A history of the development of Pascal's triangle in its various manifestations
A vessel is anchored in 3 fathoms of water and the cable passes over a sheave in the bowspirt which is 6 ft above the water.
The square root of half the number of bees in a swarm has flown out upon a jessamine bush; 8/9 of the swarm has remained behind.

A man, woman, and two boys desire to cross a river, but their boat has weight restrictions!

A mouse is at the top of a poplar tree 60 braccia high, and a cat is on the ground at its foot. The mouse decends 1/2 a braccia a day and at night it turns back 1/6 of a braccia.
A woodcutter starts to fell a tree 4 feet in diameter, and cuts half way through. One face of the cut is horizontal, and the other face is inclined to the horizontal at an angle of 45 degrees. Find the volume of the wood cut out.
Greek ladders for approximating square roots may be more ancient than the ancient Greeks. Students at any level can appreciate their beauty and simplicity. Those who have studied calculus can compare them with Newton's Method for approximating roots.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?