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The Length of a String

Author(s): 
Two circles, the sum of whose radii is a, are placed in the same place with their centers at a distance 2a, and an endless string, quite stretched partly surrounds the circles and crosses itself between them. Show the length of the string is (4/3pi + 2sqrt3)a (Hobson, Plane Trigonometry)

"The Length of a String," Loci (March 2005)

Dummy View - NOT TO BE DELETED