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~ BOOKS BY JOHN MICHELL ~ 

Last week, John Michell told us why Geometry is not just some dull, dry topic but an ancient magical art. He spoke about the hidden patterns that link nature to music and architecture... and hinted at a further 'cosmic connection'. This week, he goes a step further... revealing some of the 'sacred ratios' that may hold a clue to the meaning of life. Jonathan Cainer
Archive for Thursday 10th July 2003  The Secret Numbers at the Heart of Creation
Creative geometry is very simple. You only have to know Pythagoras's theorem and a few tricks of the trade, and soon you will be able to construct the traditional plan of the universe. Pythagoras was a Greek from Samos in the sixth century BC. He travelled to Egypt and other centres of learning, studying the science and philosophy behind ancient civilisations. He then expressed that knowledge in mathematical form, and taught it through music and geometry. From his famous theorem, we discover the other important ratios of 'sacred' or 'creative' geometry. If the side of a square measures 1, the length of its diagonal is the square root of 2. If the side of a rhombus (two equilateral triangles back to back) is 1, its long axis is the square root of 3. These ratios occur all the time in the constructions of creative geometry. But they are not the most important. Above them is the primary relationship, between the diameter of a circle and its circumference. That ratio is known by the Greek letter pi. If you multiply the diameter by pi you get the circumference. But what exactly is the value of pi? There is the catch, because it turns out that pi is 'irrational'. It cannot be expressed as a ratio between two whole numbers. It is 3.141592. . . going on forever. And it is the same with other important ratios in geometry. They too are irrational. This means we cannot hope to make a perfect plan of the universe, rationally and in whole numbers. We have to use close approximations to the ratios. For pi we use 22/7 or 864/275; for the square root of 2, 99/70 and for the square root of 3, 71/41. Next week, I will show you why these ratios were so important to the ancients, who saw them as the signature of a benevolent Creator who used the same basic rules of geometry, over and over again. Then, we shall attempt to understand how the world was really made. PYTHAGORAS THE MYSTIC WITH A TERRIBLE SECRET John Michell
If you have a favourite mystery subject  from spontaneous human combustion to ancient Celtic ritual sites, write to John, suggesting a theme. And if you have any answers or theories about the mysteries John will be highlighting, he would particularly like to hear from you. Email jon@cainer.com
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