The computation of certain numbers using the ruler and compass
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Simon Plouffe, Journal of Integer Sequences  
A method for computing some numbers bit by bit using only the ruler and compass, in particular the construction for arctan(X)/Pi. This method is a spigot algorithm and can be applied to numbers that are constructible over the unit circle and the ellipse. The method is precise enough to produce about 20 bits of a number, or 6 decimal digits, in minutes, which is unusual since there is no hand computation by itself or with a computer, and classical methods can hardly achieve such a precision in such a short time.  


Levels:  College, Research 
Languages:  English 
Resource Types:  Articles 
Math Topics:  Constructions, Number Theory 
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