Download Sacred Geometry: Philosophy & Practice (Art and Imagination) by Robert Lawlor PDF
By Robert Lawlor
An creation to the geometry which, as sleek technology now confirms, underlies the constitution of the universe.
The thinkers of historical Egypt, Greece and India well-known that numbers ruled a lot of what they observed of their international and accordingly supplied an method of its divine author. Robert Lawlor units out the approach that determines the measurement and the shape of either man-made and common constructions, from Gothic cathedrals to flora, from track to the human physique. by means of additionally regarding the reader in useful experiments, he leads conveniently from basic ideas to a grab of the logarithmic spiral, the Golden percentage, the squaring of the circle and different ubiquitous ratios and proportions.
Art and Imagination: those large-format, gloriously-illustrated paperbacks conceal japanese and Western faith and philosophy, together with fantasy and magic, alchemy and astrology. the celebrated authors deliver a wealth of data, visionary pondering and obtainable writing to every interesting topic. 202 illustrations and diagrams, fifty six in colors.
This is 2002 Reprint.
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Extra resources for Sacred Geometry: Philosophy & Practice (Art and Imagination)
Example text
This mode of perceptual awareness, which we find comparable to a three-term, continuous proportion, was referred to by Sri Aurobindo as 'knowledge by identity', and regarded as an important stage in the process of spiritual development : while acknowledging an external source of experience we recognize that it is in a continual flow of relationship with our internal faculties of perception and cognition, and it is this relationship, not the external object itself, that we are experiencing. The objective world then is interdependent with the entire physical, mental and psychological condition of the perceiving individual, and consequently will be altered by changes in his inward condition.
With C as centre and radius CA, project base line EC. Project line CD in a similar manner, giving line DF. Using the geometric theorem that the angle inscribed in a Gmiclrcle(i3iametZr~~ ~ka~~-mgferwejsinAE and AG and find three similar triangles: Rotate the semi-diagonal AX of square ABCD to mark E and F on the extended base line. By Thales, AEDA x AEAG AEAG % AADG AADG % AEDA Therefore, a : b :: b :c, a:b::b:c. c=a+b hence, a:b::b:a+b a b and if - = - then b2 = ac. b c We then have the values: In this case, c = 2b+a, anda:b::b:2b+a.
Extend lines CA and CB to intersect circles A and B at points G and F. Lines C G and C F are diameters of the two circles and thus twice the length of any of the sides of the triangles ABC and ABD. Draw FG passing through point D. and F as centres, swing arcs with compass unchanged, cutting the new circle at points H, I, J and K. Draw the root 3 rectangle HIjK enclosing the Vesica. 5. Construction of the hexagon from the Vesica Piscis. With our Vesica ABCD, swing an arc from C as centre and original radius 1 = CB, cutting the second circle at E.