Back to the Circle

Reviewers of Beauty for Truth's Sake convey been kind, but fifty-fifty the virtually ecstatic would acknowledge that at that spot are weak as well as fifty-fifty lightheaded patches inwards the book, peculiarly inwards the chapter called "The Golden Circle", where I play amongst to a greater extent than or less ideas relating theology as well as mathematics (inspired past times Simone Weil's piece of occupation as well as Vance Morgan's first-class book on her). Apart from anything else, I came upwards amongst a concept called "the Golden Circle" as well as wasn't able to prepare it properly, since I lack the mathematical powerfulness to produce so. The "Circle" was only a Golden Rectangle inscribed inwards a circle, which I thought i could operate to explore the relations of Pi to Phi (Φ as well as π are connected together past times the fact that the Golden Rectangle’s diagonal forms the diameter of the circle).

But my project design of the Golden Circle has evolved, as well as Michael Schneider has kindly redrawn it for me on the correct (an intermediate phase was discussed inwards an earlier post). The Golden Circle itself is straight off a Golden Ring, shown inwards yellow. There are inwards fact 3 circles, i inscribed within the brusk sides of a Golden Rectangle, i within the long sides, as well as i through the corners of the rectangle. On the solid set down of Pythagoras's Theorem, a large set out of relationships tin endure established betwixt areas as well as lengths inwards this figure, since nosotros know that the circumference of a circle is Pi multiplied past times the diameter, as well as the expanse is Pi multiplied past times the radius squared. For example, the circumference of the middle-sized circle (the exterior of the xanthous ring) is Pi times Phi. But I'll exit yous to piece of occupation out what the balance of them are. Let me know sometime. It powerfulness brand a overnice practise for a geometry class. The theology tin wait.

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