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Christine  Christine is offline
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Join Date: 30 Aug 2003
Location: Oregon USA
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Christine 
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What we are seeing is part of a series of illustrative explanations expanding on the Theology of Arithmetic, brought forward through Christian Hermetics. Here is the text that accompanies these images:

"The vesica is formed by two interpenetrating circles of the same diameter, and as a symbolic glyph it represents the fusion and reconciliation of opposites.

"Christ is said to be the mediator between heaven and earth, and it is well known in art history that he frequently appears in the mediatrix of the vesica. Further, since the temple is a gateway linking heaven and earth, and the Church is known as the 'body of Christ,' a good many cathedrals are based on the geometry of this Piscean symbol.

"The underlying pattern of 'the circle doubled' gives rise to the unique and harmonious geometry of the hexad, which may ultimately be reduced to the mathematical ratio (or logos) expressed by the vesica, being 1 : [square root of] 3 or the proportion 1 : 1.73205.... By using this fundamental proportion, which underlies the fabric of the phenomenal world, traditional cosmology expressed a hierarchy of transcendental relationship in the world of symbolic ideas."

(p. 284; _Jesus Christ, Sun of God_).

So, figure A is the Vesica, aka mediatrix. B seems to show a clever way of deriving much the same proportions from the Vesica that Huck was showing with the sphere. It's a fish! C is used to illustrate the 1st postulate of Euclid. D shows us the 3 Worlds Scheme, and E demonstrates the Tree with the Sephira laid over the 3 Worlds. Note that in F, the two rings have to be laid on their side to produce the Mandorla within which Christ appears. This is the same positioning that we see Mercury taking in Etteilla's 2 of Disks. G demonstrates how the proportions derived from "the Fish" plus the two triangles in the Vesica (C) leads to the proportions of the Cathedral of Beauvais (G).

The bottom row of circles are built within the sphere from which the Vesica is derived, but unfolding the geometry found in the vesica. Clearly this circle is the middle sphere from the Three Worlds scheme, which is why you see the shadowy traces of the upper and lower spheres cutting through. The base of the equilateral triangle forms the length of a vesica tip to tip, from which further geometrical figures can be derived by reflection. Note the Tetractys, Star of David, and Flower of Life (also see http://en.wikipedia.org/wiki/Flower_of_Life for more along these lines, as well as great presentation on how widespread this Sacred Geometry is in antiquity.)

Here's an eye-opening little quote from William Sirling's _The Canon_ which puts us in mind of why this symbol might appeal to a Masonry striving to create a western yoga:

"The Vesica was also regarded as a baneful object under the name of the 'Evil Eye,' and the charm most generally employed to avert the dread effects of its fascination was the Phallus [citation]. In Heraldry the Vesica was used as the feminine shield. It was interchangeable with the Fusill , or Mascle [citation], and was also figured as a Lozenge or rhombus. In the East the Vesica was used as a symbol of the womb, and was joined to the cross by the Egyptians forming the handle of the Crux ansata." (Stirling, p. 13).
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