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Originally posted by IndianaBoys
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from the above link:
Pascal's Theorem & Brianchon's Theorem
In (at least) elementary projective geometry, lines and points have the same algebraic
structure. Every theorem about lines has a dual about points, and vice versa. Blaise Pascal
(1623-1662) in 1640 discovered a theorem while he was sixteen, sometimes known as
Hexagramma Mysticum. Its dual wasn't discovered until 1806, by Charles Julien Brianchon
(1785-1864). Pascal's theorem (and its dual) are important in projective geometry, which in
turn is a fundamental branch of geometry. Pascal's theorem: The six vertices of a hexagram
lie on a conic if and only if the points of intersection of the three pairs of opposite sides lie on
a line. Brianchon's theorem: The six sides of a hexagram are tangent to a conic if and only if
the lines joining the three pairs of opposite vertices intersect in a point.
In (at least) elementary projective geometry, lines and points have the same algebraic
structure. Every theorem about lines has a dual about points, and vice versa. Blaise Pascal
(1623-1662) in 1640 discovered a theorem while he was sixteen, sometimes known as
Hexagramma Mysticum. Its dual wasn't discovered until 1806, by Charles Julien Brianchon
(1785-1864). Pascal's theorem (and its dual) are important in projective geometry, which in
turn is a fundamental branch of geometry. Pascal's theorem: The six vertices of a hexagram
lie on a conic if and only if the points of intersection of the three pairs of opposite sides lie on
a line. Brianchon's theorem: The six sides of a hexagram are tangent to a conic if and only if
the lines joining the three pairs of opposite vertices intersect in a point.
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In the
Reiki field the Cko Ku Ray symbol can be dawn in two different directions. The clockwise
direction connects to the heavens, or what the Native Americans call the projective
masculine energy. Counterclockwise connects to the earth, or the receptive feminine energy.
Reiki field the Cko Ku Ray symbol can be dawn in two different directions. The clockwise
direction connects to the heavens, or what the Native Americans call the projective
masculine energy. Counterclockwise connects to the earth, or the receptive feminine energy.
from the Kybalion:
"Gender is in everything; everything has its Masculine and Feminine Principles; Gender manifests on all planes." - The Kybalion.
This Principle embodies the truth that there is GENDER manifested in everything-the Masculine and Feminine Principles ever at work. This is true not only of the Physical Plane, but of the Mental and even the Spiritual Planes. On the Physical Plane, the Principle manifests as SEX, on the higher planes it takes higher forms, but the Principle is ever the same. No creation, physical, mental or spiritual, is possible without this Principle. An understanding of its laws will throw light on many a subject that has perplexed the minds of men. The Principle of Gender works ever in the direction of generation, regeneration, and creation.
Everything, and every person, contains the two Elements or Principles, or this great Principle, within it, him or her. Every Male thing has the Female Element also; every Female contains also the Male Principle. If you would understand the philosophy of Mental and Spiritual Creation, Generation, and Re-generation, you must understand and study this Hermetic Principle. It contains the solution of many mysteries of Life. We caution you that this Principle has no reference to the many base, pernicious and degrading lustful theories, teachings and practices, which are taught under fanciful titles, and which are a prostitution of the great natural principle of Gender. Such base revivals of the ancient infamous forms of Phallicism tend to ruin mind, body and soul, and the Hermetic Philosophy has ever sounded the warning note against these degraded teachings which tend toward lust, licentiousness, and perversion of Nature's principles. If you seek such teachings, you must go elsewhere for them- Hermeticism contains nothing for you along these lines. To the pure, all things are pure; to the base, all things are base.
This Principle embodies the truth that there is GENDER manifested in everything-the Masculine and Feminine Principles ever at work. This is true not only of the Physical Plane, but of the Mental and even the Spiritual Planes. On the Physical Plane, the Principle manifests as SEX, on the higher planes it takes higher forms, but the Principle is ever the same. No creation, physical, mental or spiritual, is possible without this Principle. An understanding of its laws will throw light on many a subject that has perplexed the minds of men. The Principle of Gender works ever in the direction of generation, regeneration, and creation.
Everything, and every person, contains the two Elements or Principles, or this great Principle, within it, him or her. Every Male thing has the Female Element also; every Female contains also the Male Principle. If you would understand the philosophy of Mental and Spiritual Creation, Generation, and Re-generation, you must understand and study this Hermetic Principle. It contains the solution of many mysteries of Life. We caution you that this Principle has no reference to the many base, pernicious and degrading lustful theories, teachings and practices, which are taught under fanciful titles, and which are a prostitution of the great natural principle of Gender. Such base revivals of the ancient infamous forms of Phallicism tend to ruin mind, body and soul, and the Hermetic Philosophy has ever sounded the warning note against these degraded teachings which tend toward lust, licentiousness, and perversion of Nature's principles. If you seek such teachings, you must go elsewhere for them- Hermeticism contains nothing for you along these lines. To the pure, all things are pure; to the base, all things are base.
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