Nexus Network Journal

, Volume 9, Issue 1, pp 119–144 | Cite as

Squaring the Circle: Marriage of Heaven and Earth

Geometer’s Angle


It is impossible to construct circles and squares of equal areas or perimeters precisely, for circles are measured by the incommensurable value pi (π) and squares by rational whole numbers. But from early times, geometers have attempted to reconcile these two orders of geometry. “Squaring the circle” can represent the union of opposing eternal and finite qualities, symbolizing the fusion of matter and spirit and the marriage of heaven and earth. In this column, we consider various methods for squaring the circle and related geometric constructions.


Squaring the circle descriptive geometry Leonardo da Vinci incommensurate values 

Copyright information

© Kim Williams Books, Turin 2007

Authors and Affiliations

  1. 1.Great BarringtonUSA

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