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NICHOLAS OF CUSA'S CIRCLE: (Ignorance of the Polygonal view of Circle to Derive Pi) Nicolaus of Cusa, an early Christian philosopher, in his 1440 book “On Learned Ignorance” (De Docta Ignorantia, vol 1, F Meiner; Hamburg, 1979, p49) showed geometrically that human reason is not attainable through mere logical thought. If we attempt to approach a circle (reason) through construction of polygons with more and more sides (logical thought), it might be thought that we would actually get closer and closer to a circle. See Fig A3-a below. Nonsense! A circle has no angles: the more angles we add to the polygon, the further we are from a circle. Fig A3-a Nicolaus of Cusa's Circle demonstrating the nonsense of the polygonal view of generating Pi (taken from “The Science of Christian Economy” by Lyndon LaRouche, Jr. 1991). The Book Of Phi, volume 8 The True Value of Pi = JainPi = 3.144605511029693144… 121 Jain says: Nicolaus is very apt in pointing out that the polygonal method of determining Pi is nonsense and illogical, and is the fundamental error in western thinking. As I have been stating, the more we divide the circle into greater quantities of polygons, the more there is still an area under the curve, it just doesn't go away. To account for this area under the curves, the true value of pi, it must be a fraction more than the limit of the polygons given as 3.1415... Reddivari of India also pointed this out in his book.
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