The Golden Circle

In chapter iv of my mass I beak close a rectangle inscribed within a circle. Naturally in that place are an indefinite release of such figures. Take the diagram on the right, kindly produced past times Michael Schneider. Look at the outermost circle, together with the largest rectangle that lies within it, touching its circumference at A, B together with C. You could deed points H5N1 together with B nearer to the left-hand halt of the horizontal diameter of the large circle, or else force them farther apart towards the 2 ends of the vertical diameter, producing an ever-thinner oblong shape. Halfway betwixt these  extremes the rectangle would choke a square. But the shape Michael has drawn is a Golden Rectangle, together with then nosotros tin telephone holler upward the whole figure a Golden Circle ("Golden" because of the presence of the Rectangle). The G.R. is famous for beingness the "most beautiful" of rectangles, possessing the peculiar belongings that its sides are inwards the ratio of 1 to Phi (1.618...), together with then that if you lot cutting off a foursquare part what remains is a smaller Golden Rectangle - together with and then forth, forming a logarithmic spiral, equally inwards the next image.

When I wrote the mass I was intending to role the Golden Circle equally a agency of exploring the human relationship betwixt Pi together with Phi, merely I never got some to it. My argue for beingness intrigued is simple. What nosotros larn from Simone Weil - together with what she learned from the Greeks - is that geometry is amount of theological meaning. We convey forgotten how to brand those connections. It is non that nosotros tin test the Trinity or the Incarnation amongst diagrams, merely that the mathematical the world is amount of analogies that echo theological together with spiritual truth. You powerfulness fifty-fifty state that mathematical necessities are a portrait of divine freedom, since inwards God liberty together with necessity coincide. The beauties of geometry together with arithmetics are a the world of metaphors together with aid to heighten our minds towards the contemplation of divine truth. My mass entirely touches on this, merely a much fuller together with richer trouble organisation human relationship is given past times Vance G. Morgan of Providence College inwards his mass Weaving the World: Simone Weil on Science, Mathematics together with Love, reviewed here.

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