Doubling a Distance with a Compass

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The classical Greek rules for geometric construction do not allow using a compass to mark off distances: it must "collapse" whenever one of its arms is lifted off the page. However it is still possible to double the distance between two points. The method can be repeated to draw evenly spaced points along an invisible line.

Contributed by: Michael Schreiber (September 2007)
Open content licensed under CC BY-NC-SA




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