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Convergence articles

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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.

There are two piles, one containing 9 gold coins, the other 11 silver coins.

On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.

Review of a book that suggests that the accepted historical chronology is fundamentally flawed.

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.
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?

A tree is 2 zhang tall and has a circumference of 3 chi. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?

A biography of Arthur Cayley, the outstanding mathematician of Victorian Britain.