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EL TOROIDE SALE DE LA MISMA ALQUIMIA, OSEA EL PATRON DE LA TIERRA (COMO MADRE DE LA LUNA), NEXO DISEÑO DE LA GRAN PIRAMIDE EN FUNCION AL NUMERO PI Y AL NUMERO DE ORO E INCLUSO A LAS 4 FASES DE LA LUNA
Toro
Hechos sobre toros |
Fíjate en estas cosas tan interesantes: |
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Se hace girando un círculo pequeño a lo largo de la línea trazada por otro círculo. |
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No tiene aristas ni vértices |
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No es un poliedro |
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Y como referencia: |
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Área de la superficie = 4 × π2 × R × r |
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Volumen = 2 × π2 × R × r2 |
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Nota: ¡las fórmulas de área y volumen sólo funcionan cuando el toro tiene un agujero! |
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¿Sabías que la palabra toro viene de la palabra latina para "cojín"?
(Esto no es un cojín romano de verdad, sólo un dibujo que he hecho)
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Toro en el cielo. El toro es un sólido tan interesante, ¡sería divertido tener uno de playa!
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Más imágenes de toros
Cuando el radio pequeño (r) crece y crece, el toro pasa de neumático a donut: |
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EL RADIO=r del TOROIDE EQUIVALE AL RADIO DE LA LUNA Y EL RADIO R DEL MISMO EQUIVALE AL RADIO DE LA TIERRA MAS EL RADIO DE LA LUNA. LAS MATEMATICAS SON EXACTAS PARA EL TODOPODEROSO. DE AQUI TENEMOS LA CLAVE PARA ENCONTRAR EL TOROIDE COMO NEXO CON EL NUMERO DE ORO PHI=1.618033. TOROIDE ES SINONIMO DEL "CODIGO DA VINCI"
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22 de julio es el DIA DE MARIA MAGDALENA
NOVUS ORDO STRUCTORUM
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Talking about rhombus: remembered that it was mentioned in the doc Hidden in plain Sight as the Male side of the vesica piscis and recognize the following geometric figure: from Hexagon - Wikipedia, the free encyclopedialinked to A (nonplanar) skew regular hexagon, within the edges of a cube also: Stellation - Wikipedia, the free encyclopedia
Quote:
Stellation is a process of constructing new polygons (in two dimensions), new polyhedra in three dimensions, or, in general, new polytopes in n dimensions. The process consists of extending elements such as edges or face planes, usually in a symmetrical way, until they meet each other again. The new figure is a stellation of the original. |
__________________ “Signs and symbols rule the world, not words nor laws.” - Confucius.
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a bit of info : Vladimir Putin Confirms Russian Zombie Radiation Gun
Quote:
Precise details have not been revealed but previous research has shown that low-frequency waves or beams can affect brain cells, alter psychological states and make it possible to transmit suggestions and commands directly into someone's thoughts. |
Principle of Correspondence ... if we humans can do it ... so can the Celestial Intelligences ------------------- one more link Use Harmonic Math on the following table images from : The Brain is an Advanced Fractal Antenna - Page 10
__________________ “Signs and symbols rule the world, not words nor laws.” - Confucius.
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APARENTEMENTE, EL MITO DE LA TIERRA HUECA TIENE ORIGEN EN LA MANZANA, YA QUE SI UNO CORTA LA MISMA EN LA MITAD (SIMBOLO DEL ECUADOR TERRESTRE) TENEMOS UNA ESTRELLA DE 5 PUNTAS. RECORDEMOS QUE LA PASCUA ES EN EL EQUINOCCIO, OSEA CUANDO EL SOL ESTA FRENTE EN EL ECUADOR. OSEA QUE EN ESTE MARCO, LA TIERRA TAMBIEN ES UN SIMBOLO DE LA MANZANA. PROVERBIOS 25:11 ES EVIDENTE EN ESTE MARCO ES QUE LOS CONSTRUCTORES DEL VATICANO, SABIEN QUE LA TIERRA ERA REDONDA. SI NO ES ASI, PREGUNTO: ¿PORQUE CONSTRUYERON EL CASTILLO SAN ANGELO (TIENE FORMA DE ESTRELLA DE 5 PUNTAS) EN EL MARCO AL EQUINOCCIO? TODO EL PLANTEO HISTORICO DE QUE LA IGLESIA CATOLICA DEFENDIA O QUE CREIA QUE LA TIERRA ES PLANA, SI UNO LO VE DESDE EL PUNTO DE VISTA DE LA CONSTRUCCION DEL VATICANO, ES OBVIO QUE NO TIENE SUSTENTO. UN POCO ESTE ES EL MENSAJE DE LA PELICULA "ANGELES Y DEMONIOS". ¿PREGUNTO DEL PORQUE LA RELACION DE LA MANZANA CON LA RESURRECCION DE CRISTO EN EL MARCO A MARIA MAGDALENA? LA RESPUESTA ES OBVIA. EN REALIDAD LA MANZANA TIENE FORMA DE TOROIDE. ESE ES EL NEXO CON LA ROSCA DE PASCUA. LA TIERRA, EN EL MARCO DE LOS CIRCULOS DE VAN HALEN, TAMBIEN TIENE REFERENCIA AL TOROIDE. EN ESTE MARCO EL DIAMETRO DE LA ESFERA TAMBIEN ES UN "AGUJERO DE GUSANO". ES OBVIO QUE EL MISMO ES INFERIOR A LA LONGITUD DE LA CIRCUNFERENCIA DE LA MISMA. EL NEXO VENUS (ESTRELLA DE 5 PUNTAS), EN EL MARCO A LA RESURRECCION DEL SEÑOR ES OBVIO. VUELVO CON ESTA PREGUNTA: ¿COMO LOS CONSTRUCTORES DEL VATICANO SABIAN LA RELACION VENUS CON EL EQUINOCCIO EN EL MARCO A LA MANZANA (TOROIDE)? ES OBVIO, QUE SABIAN QUE LA TIERRA ES REDONDA.
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11. Proverbios 25:11 MANZANA de oro con figuras de plata Es la palabra dicha como conviene.
12. Cantares 2:5 Sustentadme con pasas, confortadme con MANZANAs; Porque estoy enferma de amor.
13. Cantares 7:8 Yo dije: Subiré a la palmera, Asiré sus ramas. Deja que tus pechos sean como racimos de vid, Y el olor de tu boca como de MANZANAs,
ALLI ESTA LA CONEXION VENUS / VENECIA CON EL 666
VENUS= PENTAGONO= VENECIA= NUMERO DE ORO= 1.618033
LAS MATEMATICAS SON EXACTAS.
GLORIA A DIOS TODOPODEROSO. QUE BELLAS SON LAS MATEMATICAS
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Message 21 of 28 on the subject |
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Message 22 of 28 on the subject |
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Message 539 of 550 on the subject |
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Message 224 of 224 on the subject |
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TUESDAY, MAY 18, 2010
BORROMEAN RINGS (1/3)
“If one proceeded to announce that there is still nowadays a work of the former Egyptians, one of their books that escaped the flames that devoured their superb libraries, and which contains their purest doctrines on interesting subjects, everyone who heard, undoubtedly, would hasten to study such an invaluable book, such a marvel. If one also said that this book is very widespread in most of Europe, that for a number of centuries it has been in the hands of everyone, the surprise would be certain to increase. Would it not reach its height, if one gave assurances that no one ever suspected that it was Egyptian; that those who possessed it did not value it, that nobody ever sought to decipher a sheet of it; that the fruit of an exquisite wisdom is regarded as a cluster of extravagant figures which do not mean anything by themselves? Would it not be thought that the speaker wanted to amuse himself, and played on the credulity of his listeners?”
BORROMEAN RINGS
RING ONE: hidden element
3 Rings linked together, their centers being vertices (corners) of an equilateral Triangle.
Viewed in this diagram, we are looking at a 2-dimensional map of Earth from its side, represented by One ring of our choosing (blue): Orient the planet so the Great Pyramid at Giza (30˚N) lays at one of the vertices, the Earth’s center at another, and its axis’ North pole at the third. Exploring this set of relations, it can be demonstrated that the architectural proportions of the Great Pyramid at Giza exhibit a means of utilizing the measure of Earth to express the mathematical constant, π. To understand how we must suspend, for a moment, our habit of thinking of number in purely quantitative terms and consider the ways in which some numbers are also inherently bound to specific geometric forms - like with ‘square’ (1² 2² 3² 4² 5²...) or ‘cubed’ (1³ 2³ 3³ 4³ 5³...) numbers we see a sum attached to a particular shape. Other shapes each possess their own sequence of numbers also attached to their change in proportion. These are called ‘figurate numbers’, and tradition has it they were introduced into Greek mathematics by the pre-Socratic philosopher, Pythagoras, in the 6th century BC. A student of the ancient mystery schools, it is likely he acquired this knowledge during his journeys to Chaldea & Egypt; but all that is really required to calculate the number sequences tied to these shapes is a stack of pebbles and time to spare, counting out the variety of polygons & devising ways of stacking them to construct polyhedrons. To the careful interpreter of nature a pattern was discernible amidst this numerical data - One that, properly placed, could be applied to the measure of all things. It is suggested here that the Great Pyramid at Giza, in relation to the 3-Ring structure given above, embodies this application. Let us then imagine the Great Pyramid as keystone to a system of ‘projective numerology’ - an application of mathematics using figurate numbers to model distances and proportions as shapes, and translating them into their related forms as ‘seen’ from different angles & in other dimensions. At the root of any square pyramid’s architecture is its’ seked - an ancient Egyptian ratio of angular measure used to determine the slope of a pyramid’s sides and thus its’ height. Utilizing the seked of the Great Pyramid, the perimeter of a square pyramidal base equals the circumference of a circle whose radius is equal to that pyramid’s height. Within our 2-dimensional map, as our planet rotates upon its’ axis, the Pyramid appears to move from one end of a vesica piscis to the other, as if turning on a Wheel whose rim is the 30th parallel. Thus, in one quarter turn (11/14 ≈ π/4) the Pyramid appears to move in a perpendicular line to the base of the equilateral Triangle articulated within our 3-ring diagram. The distance of this perpendicular line from the Great Pyramid to the Earth’s polar axis is 3430 nautical miles, or 10x the cube of seven. Let us then imagine this distance as a stack of 10 cubes, 7x7x7. A ‘quarter turn’ (11/14) of the Earth thus ‘apportions’ a 10x10 square of these cubes: 10² x 14/11 = 127.27272727... So, by the logic induced with this arrangement of proportions, distances can be pictured in the mind’s Eye as figurate numbers of octahedral symmetry with 7-unit sides. Reading the Run & Rise of the Great Pyramid’s seked both forward and backward we get a formula for modeling a linear distance of the Earth’s measure as a column made of figurative cubes. [3d:2d = 343 : 127 ]As such, we can picture the square pyramid monument atop this ‘column’ as pointing to the center of an imaginary 11th cube. It follows, then, that a 12-hour rotation (180˚) measures a distance from center-point to center-point of the cubes at either end of a column 22 cubes of 7 long.The center point of a unit cube has a specific relationship to the vesica piscis traversed in this 12-hour ‘distance’ within our diagram, as Two rings sharing a single radius give a rational approximation for √3, which is also the space diagonal of any unit cube. In other words, with respect to a unit cube, the √3 is the distance between opposite corners of that cube. Tracing these space diagonal lines joins the opposing corners, all of which intersect at the center of that cube, and thereby delineate the edges of six square pyramids joined at their apex. 22:7 ≈ πTo the Egyptian god Thoth, equated with the Greek god, Hermes, and particularly the Roman god, Mercury, this ratio is significant in describing the number of conjunctions aligning Mercury & Earth with the Sun every 7 years. Also known as a ‘synodic cycle’, this is an example of what ancient Greek astronomers called an exeligmos, or ‘Turn of the Wheel’ - describing any period wherein Sun, Moon, and/or planets return to conjunction(s) from which they started. The term is still used today, but is more specifically applied to the Triple Saros cycle of reckoning lunar eclipses, each 120º of longitude apart, eventually returning to a point relatively close to where they began: exeligmos. The Romans used the term annus magnus, or ‘great year’ to describe the same class of periodic event. As we shall see, each of the planets have a harmonic ratio of conjunctions with our planet Earth, and with each other. By fixing the Earth to the center of our ecliptic plane, the motion of other planets relative to our position appear as serpentine spiro-graph patterns, looping in close when aligning into conjunction with the Sun, and looping out to trace a wide arc that coils about the Earth until looping in again for another conjunction. Mars:Earth Venus: Earth Consistent within our model of 10 cubes of seven, the Great Pyramid (pointing to the center of an eleventh) also corresponds to the tip of an octahedron of 7 = 231. And it just so happens that 11x 231 is the number of days in the exeligmos of Mercury & Earth, 22:7. In addition, the measure of the Great Pyramid’s base side lengths (440 cubits each) give a total base area measuring approximately 231 meters square.Being a close approximation of the value π, and our annus magnus with the planet Mercury (Hermes/Thoth), let us then imagine this column of 22 cubes of 7 as the staff of his Caduceus. As we shall see, the cycles of the other planets can be represented as the serpents entwined about this Staff, their helices in tune with the ratio of their exeligmos.Imparting more than just the inevitable passage of Time, they were the very music of the spheres by which the harmony of creation was made known to the ancient Geometers. Our 3-Rings establish the base unit of an entire system of weights & measures (metrology) by symbolizing an angular dimension constructed by the movement through Time of the Great Pyramid, like the point of a metronome entrained to the Earth’s tempo. In effect attuning the mathematical constant π with Mercury's Great Year & the linear measure of Earth's size in units of angular measure. 'Squaring' the circle much like the Great Pyramid's seked. 1 nautical mile = 1.15 miles The nautical mile used as our base unit of measure for obtaining the distance in cubes of seven is also a unit of angular measure equivalent to 1/60th degree of Earth longitude (=1 minute of arc degree). Converting this into survey land miles = 1/10² the number of days between Earth:Mercury conjunctions (=115). 22:7 = 12 hrs @ 30˚north (12x 30 = 360)180˚ = 10,800 arc minutes of degree = 50x 216, the cube of 6216 also equals the number of degrees between Earth:Venus conjunctions (x5 = 1 Earth:Venus pentagram = exeligmos). So, by subdividing each degree of arc into 60 minutes, Earth’s 180˚ rotation (22:7) upon its’ axis thereby possesses a kind of numerological resonance regarding its harmonic with Venus, the exeligmos of the pentagram. Reputedly a symbol of good will among the Pythagoreans, the pentagram also provides an easy means of obtaining the golden ratio. 12 : 1 = (22/7) = 60 minutes In this way our measure of both Time & Space define each other by weaving together the value π with the ‘divine proportion’ of the golden ratio. Of the numerous other curious facets to this TooL of Hermetic Metrology, establishing not only our system of weights & measures, its choice of cubes & octahedrons also exhibit a direct connection to speeds of both sound & light: 1 meter =distance trave1ed by sound 1/343th of second =distance trave1ed by light 1/299,792,458th of second 343 = cube of 7 299,792,458 = c = speed of light in meters per second 1296000 / π = number of square degrees in one whole sphere c / 1296000 = 231.321.... 231 = octahedron of 7 Stranger still, the proportions outlined above are also paralleled in the numerical structure of the Tarot de Marseilles’ pattern of 22 major arcana trumps when applied to the Hebrew alphabet - in turn derived from Egyptian (via proto-Sinaitic) hieroglyphs which depicted the symbols those letters are still associated with. We see traces of this tradition within our own English alphabet with the letter A: also the glyph for an Ox head (turned upside-down) having the same origin as the Hebrew letter aleph. Referred to by 'occultists' as the Book of Thoth (though never adequately explained why), the key to unlocking this puzzle, as with any cryptological TooL, is knowing where to place the cypher, or sifr - the arabic word from which we also get Zero, or ‘nothing’, the rank of every Tarot deck’s Fool [aleph=0]. And this role proves more than suitable for One who ushers in what ultimately reveals a prank, of sorts... leading to what is arguably the greatest punch-line in history.
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EL origen de la PROPORCIÓN DIVINA – de la geometría sagrada – lo mismo que toda cosa perfecta, el hombre de fe lo encuentra en Dios, "creador del cielo y de la tierra, de todo lo visible e invisible." Según el Prólogo del Evangelio de San Juan, "Al principio era el Verbo." En el mundo de las cosas visibles, la armonía, en su esencia divina, manifiesta relaciones ideales en su forma visual accesible a la experiencia sensible. Gracias al encuentro de este fenómeno de aparición donde Dios se manifiesta, el hombre reconoce la obra que contiene en sí el sello del Creador. Dejando aparte la cuestión de las armonías perfectas de orden cósmico, visibles pues en la naturaleza, en la creación de las cuales el hombre no ha participado – y que representan al mismo tiempo los límites y el contexto impuesto a la existencia terrestre humana –, queda la cuestión de las armonías perfectas que el hombre ha creado y que crea. En la búsqueda de una respuesta, dos caminos superpuestos aparecen. Sobre el primero, estoy tentado de ver la voluntad del Creador que, creando el hombre a su imagen, lo ha dotado de una capacidad creadora y de una necesidad interior de expresión. Constatamos que el hombre, en la historia de su existencia terrestre, en la cumbre de su creación, ha realizado obras maestras destinadas a la celebración del nombre de Dios y de su naturaleza divina. Lo que Dios da al hombre, el hombre creyente y franc-masón se lo devuelve, y, por su devolución, reconoce en sí la finalidad y el sentido de la existencia humana: "El Templo de Jerusalén destinado a formar un emblema universal fue levantado sobre planos trazados por una mano superior que no fueron invención de ningún hombre." Sobre el segundo camino, que se supone estar superpuesto al anterior y que va en el mismo sentido, veo la revelación de la belleza y de la fuerza verdaderas contenidas en las armonías perfectas fundadas sobre las proporciones de origen divino. Esta revelación es la que los profanos designan de ordinario como inspiración. Al respecto, el ejemplo del plan del Templo que David transmite a su hijo gracias a la revelación del Espíritu es iluminador. Este ejemplo es comparado juiciosamente por Jean Ursin con el ejemplo de la "Morada" de la que Yahveh ha dicho a Moisés: "¡Según todo lo que te muestro como modelo fiel de la Morada, y como el modelo de todo su mobiliario, así harás!" La revelación, que considero como la consciencia de una idea en su totalidad, fruto de la intuición, escapa muy evidentemente a cada forma de conocimiento fundada sobre la lógica clásica y sobre los métodos científicos. Visto a través del prisma del razonamiento franc-masónico, bajo la acción de energías escondidas, puestas en una relación particular e inaccesibles a una aproximación del conocimiento clásico y del razonamiento puramente científico, el ejemplo de la divina proporción, el más extendido, se refleja en lo que se llama el número de oro. Su utilización en la arquitectura del Egipto antiguo, en la Grecia antigua u otra, ha dado templos de aspecto estético-plástico indudablemente armoniosos. Desde un punto de vista matemático, el número de oro es aproximadamente igual a 1,618. Su expresión matemática es: 5 + 1 2 es decir que se debe tomar el único número positivo que multiplicado por sí mismo da 5, al cual se le llama la raíz cuadrada de 5, se le añade 1, y se divide por 2. Tiene ciertas propiedades matemáticas curiosas, como ésta: si se considera un "gran" rectángulo cuya longitud dividida por la anchura es igual al número de oro, se le puede cortar en dos en el sentido de la anchura y obtener un cuadrado de lado igual a la anchura inicial, y un pequeño rectángulo cuya longitud dividida por la anchura es también el número de oro. El número de oro es el único número que tiene esta propiedad. Este hecho matemático interesante, según el cual el número de oro es el único número que tiene esta propiedad, puede mostrar, justamente por su singularidad, el origen divino de la armonía fundada en la proporción expresada matemáticamente por este número o por un rectángulo de proporciones dadas, lo que es en sí una forma geométrica. En el mundo de la ciencia, la geometría pertenece a la disciplina de los matemáticos quienes la definen como "la ciencia y el estudio de los espacios". Hasta el siglo XVIII, la geometría fue la de Euclides, llamada "clásica"; se sustentaba en las definiciones y los postulados de Euclides, y en otros axiomas imaginados por la observación y la intuición. Fue al final del siglo XIX cuando Hilbert dio fundamentos más sólidos hallando un sistema de axiomas verdaderamente matemáticos. Uno de estos axiomas es el "quinto postulado de Euclides" que dice: "dados una recta D y un punto P del plano, existe una única recta que pase por este punto y sea paralela a D." Modificando este axioma, se obtiene o bien la geometría proyectiva (geometría de un espacio cuyos elementos no son puntos, sino rectas), o bien la geometría de Riemann (llamada geometría elíptica) que se sitúa en un espacio que tendría las mismas propiedades que la superficie de una esfera, o bien la geometría hiperbólica de Lobatchevski-Bolyal, en la que el plano es reemplazado por una especie de silla de montar. Hoy día se considera que el estudio de las transformaciones del espacio es una parte importante de la geometría, lo mismo que el estudio de las superficies (geometría diferencial), o también de las curvas de ciertas funciones particulares (geometría algebraica). A la luz de los FRANCMASONES , las formas de las propiedades geométricas tienen otro significado tanto en el plano simbólico como en el plano energético, ambos indisolubles. Y justamente en el espejo de esta luz, esas formas, independientemente de los matemáticos y de los valores estéticos que pueden llenarlas, manifiestan, en el contexto de la utilización artística (arquitectura, pintura, escultura, gravado... ), una dimensión profunda, que sobrepasa las dimensiones semánticas del significado habitual, refiriéndose a lo que es sagrado, en lo cual encuentran su plenitud. La historia legendaria del oficio que concierne a "las siete ciencias", se encuentra: "Todos describen las siete ciencias liberales en un orden a veces diferente. En la Edad Media, los escolásticos las dividían en dos partes: 1. El trivium, que comprendía la gramática, la retórica y la dialéctica. 2. El quadrivium, la aritmética, la geometría, la música y la astronomía. Todos nuestros autores están de acuerdo para hacer de la geometría la primera de las ciencias: "... gracias a la buena geometría, este honesto oficio que es la buena masonería fue así constituido y creado" Regius, 19 – 20 – 21. Por otra parte, el mismo autor evoca a "Euclides, alumno de Abraham" donde escribe: "Después se llega a Euclides, ese matemático griego que vivía en Alejandría en el siglo III a. de C. ¡No es sin sorpresa que se lee que Euclides, "nuestro noble sabio Euclides", fue en Egipto alumno de Abraham! Abraham acompañado de su mujer Sara fue al país de Canaán, y se vio apremiado por el hambre a refugiarse en Egipto, pues, como lo dice la crónica, "Abraham era hombre prudente y gran sabio. Conocía todas las VII ciencias y enseñó a los Egipcios la ciencia de la geometría". Por fin, más adelante se encuentra en la misma obra: "Retengamos que para todos, la geometría es, si no la madre de las otras seis, al menos la primera." "La geometría permite discernir con certeza lo verdadero de lo falso." "La geometría es la base de todas las otras. Todas no existen más que gracias a la ciencia de la geometría. Y la geometría es la medida de la tierra." : "La geometría enseña al hombre la proporción y la medida de la tierra." "ninguna actividad humana es posible sin pesar ni medir", dicho de otro modo, sin la geometría "ninguna ciencia sirve a los hombres para medir". "En conclusión, la geometría es el fundamento de todas las ciencias." Rebasando su papel en la masonería operativa, en el dominio de la construcción, la geometría está enraizada, en nombre de su origen, lo mismo que la divina proporción, en el Ser sagrado y en su plenitud. Así, en el contexto de la simbólica Franc-Masónica, las formas geométricas (como la esfera por ejemplo) designan a Dios. "Dios es una esfera cuyo centro está en todas partes y la circunferencia en ninguna."
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3 Phi and Triangles
3.1 Phi and the Equilateral Triangle
Chris and Penny at Regina University's Math Central (Canada) show how we can use any circle to construct on it a hexagon and an equilateral triangle. Joining three pairs of points then reveals a line and its golden section point as follows:
- On any circle (centre O), construct the 6 equally spaced points A, B, C, D, E and F on its circumference without altering your compasses, so they are the same distance apart as the radius of the circle. ABCDEF forms a regular hexagon.
- Choose every other point to make an equilateral triangle ACE.
- On two of the sides of that triangle (AE and AC), mark their mid-points P and Q by joining the centre O to two of the unused points of the hexagon (F and B).
- The line PQ is then extended to meet the circle at point R.
Q is the golden section point of the line PR.
Q is a gold point of PRThe proof of this is left to you because it is a nice exercise either using coordinate geometry and the equation of the circle and the line PQ to find their point of intersection or else using plane geometry to find the lengths PR and QR.
The diagram on the left has many golden sections and yet contains only equilateral triangles. Can you make your own design based on this principle?
Chris and Penny's page shows how to continue using your compasses to make a pentagon with QR as one side.
- Equilateral Triangles and the Golden ratio J F Rigby, Mathematical Gazette vol 72 (1988), pages 27-30.
Earlier we saw that the 36°-72°-72° triangle shown here as ABC occurs in both the pentagram and the decagon.Its sides are in the golden ratio (here P is actually Phi) and therefore we have lots of true golden ratios in the pentagram star on the left.
But in the diagram of the pentagram-in-a-pentagon on the left, we not only have the tall 36-72-72 triangles, there is a flatter on too. What about its sides and angles?
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LA GRAN PIRAMIDE EN FUNCION A LA ASUNCION DE LA VIRGEN (DIA 227 GREGORIANO=15 DE AGOSTO) Y EN FUNCION A PHI=1.618033 (OSEA LA MISMA MANZANA O EL CASTILLO SAN ANGELO)
www.gabitos.com/SecretoMasonico/template.php?nm=1495019940
22 feb. 2012 - 153/1.618033=94.5592. ¿Como se explica tanta interrelacion de esta fecha con el NUMERO DE ORO=1.618033.....? FI=PHI=NUMERO DE ...
www.gabitos.com/SecretoMasonico/template.php?nm=1495019882
8 jul. 2014 - 153/1.618033=94.5592. ¿Como se explica tanta interrelacion de esta fecha con el NUMERO DE ORO=1.618033.....? FI=PHI=NUMERO DE ...
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8 jun. 2011 - 153/1.618033=94.5592. ¿Como se explica tanta interrelacion de esta fecha con el NUMERO DE ORO=1.618033.....? FI=PHI=NUMERO DE ...
www.gabitos.com/LIBREPENSADORSINCENSURA/template.php?nm=1421349719...
15 may. 2014 - 153/1.618033=94.5592. ¿Como se explica tanta interrelacion de esta fecha con el NUMERO DE ORO=1.618033.....? FI=PHI=NUMERO DE ...
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13 sept. 2011 - 153/1.618033=94.5592. ¿Como se explica tanta interrelacion de esta fecha con el NUMERO DE ORO=1.618033.....? FI=PHI=NUMERO DE ...
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3 feb. 2015 - 153/1.618033=94.5592. ¿Como se explica tanta interrelacion de esta fecha con el NUMERO DE ORO=1.618033.....? FI=PHI=NUMERO DE ...
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15 may. 2014 - 153/1.618033=94.5592. ¿Como se explica tanta interrelacion de esta fecha con el NUMERO DE ORO=1.618033.....? FI=PHI=NUMERO DE ...
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13 nov. 2011 - 153/1.618033=94.5592. ¿Como se explica tanta interrelacion de esta fecha con el NUMERO DE ORO=1.618033.....? FI=PHI=NUMERO DE ...
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Message 64 of 64 on the subject |
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Message 28 of 33 on the subject |
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Message 29 of 33 on the subject |
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Message 30 of 33 on the subject |
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Message 31 of 33 on the subject |
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Message 32 of 33 on the subject |
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NOTEN LA IMPRESIONANTE RELACION DE LA GRAN PIRAMIDE CON EL OCTOGONO DEL VATICANO EN EL MARCO A LA RELACION DE LA SUPERFICIE EN EL CONTEXTO A UN CUADRADO DE LADO 2.
SUPERFICIE CUADRADO=2*2=8 (AQUI ESTA LA CLAVE MATEMATICA DEL "EXPERIMENTO FILADELFIA")
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VESICA PISCIS=JUAN 21:11 = SEXO MASCULINO (ULTRA SECRETO "MASONICO" DETRAS DE LA MISA CATOLICA)
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Message 61 of 61 on the subject |
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Las piedras de estaciones de Stonehenge forman un rectángulo con la proporción de 5:12 - Mapa con Stonehenge y la isla Caldey mostrando la distancia proporcional de 12,369 - eso es el número de lunas llenas por año
5. Stonehenge - geometría secreta - triángulo de 5:12, estrella de 7 puntos, número 1234, Stonehenge+isla Lundy -- Nueva York con un triángulo en el Parque Central como Stonehenge tiene -- Stonehenge: la proporción original de 5:12 -- Stonehenge: William Stukeley y druidas para la francmasonería -- Stonehenge: una estrella de 7 puntos e Isis -- Distancias: Stonehenge - Averbury - la colina de Silbury -- Stonehenge, monumento de Averbury y el monumento de Silbury - números con sol, luna y el cubo de Isis -- Stonehenge y su cantera en las montañas Preseli en Gales apr. 130 millas en el oeste -- El número 1234: Stonehenge - isla Lundy 123,4 millas -- Triángulo Stonehenge - cantera de Preseli - isla Lundy: 5:12 -- Copias de Stonehenge en el mundo - francmasones e iluminados criminales ponen sus símbolos de poder - p.e. en Lima en el Perú -- Hay una copia de Stonehenge en el centro de Lima en el parque de fontanas (parque de la reserva) -- 6. Milla y pies y luna y Tierra - números 3456, 108, 528 -- La milla y Stonehenge: 108 millas reales = 123,4 millas internacionales -- Número 108: Tierra, religiones, luna etc. -- Luna y número 108: radio 1080 millas reales -- Pie y Tierra: 360 grados x 365,242 días x pie x 1.000 = circunferencia de la Tierra -- Milla y Tierra: 12 elevado 5 dividido por 10 millas = circunferencia de la Tierra -- El pie inglés es el origen del sistema antiguo de mediciones -- 7. Stonehenge, la cantera y las islas 5:12 - Newton y su número 33 -- Stonehenge: isla Lundy + isla Caldey: 3:2 - Stonehenge-isla Caldey=12,369 = número de lunas llenas por año -- Newton: su escala de temperatura y el número 33
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Ground-plan of the Tabernacle of Israel
In Exodus 25:8 God commands Moses to make a sanctuary for Him.
8 “Then have them make a sanctuary for me, and I will dwell among them. 9 Make this tabernacle and all its furnishings exactly like the pattern I will show you.
It is noteworthy that when we examine the mathematical and geometric pattern God refers to here, it emerges from the sacred measures that Moses got from God by revelation, corresponding to the geometric canon called the Phi ratio or divine proportion. The God-given architectural plan for both the Tabernacle and Temple was designed to embody the framework of the celestial structure of Creation in miniature, on the earthly plane. This view is supported in the following quote from Nigel Pinnock, who details some key elements in the pattern given by God to Moses and David:
The Tabernacle stood inside a court whose geometry was a double square [1 x 2 rectangle], 100 cubits long by 50 cubits wide. Inside the double square enclosure was a triple square 30 cubits long and 10 cubits wide. Its walls were constructed of wooden planks 1.5 cubits wide and 10 cubits high, held in line by strong horizontal bars of wood. The whole structure was covered with skins sewn together in strips 30 cubits long by 4 cubits wide. The Tabernacle was placed in the court towards the west, but with its entrance oriented east-wards, so that according to Josephus: “when the Sun arose it might send its first rays upon it.” The interior of the Tabernacle was divided into two compartments, a scheme which was copied later in the Temple…..The outer compartment called the Holy Place, was a double square 20 by 10 cubits, whilst the inner compartment, the Holy of Holies, comprised a single square. As the height of the Tabernacle’s ceiling was also 10 cubits, the Holy of Holies enclosure was thus a perfect cube (containing the Ark of the Covenant)….The Altar of Sacrifice was the outer equivalent of the Ark of the Covenant. It stood at the center of the outer of the two squares of the enclosure… This altar represented one of the two poles at the center of two squares-each upon its own center of polarity… The dimensions of the Temple, like the Tabernacle before it, were precisely detailed: [I Chron. 28, II Chron. 3]. A triple square double the size of the Tabernacle, and the walls of the Temple were hewn stone lined inside with wood overlaid with gold. The interior comprised a double square rectangular holy place, and a single square Holy of Holies. The interior was 20 cubits high, making the Holy of Holies again, a cubic enclosure. At the very center of the Holy of Holies stood the Ark of the Covenant which formerly had occupied the central point of the of the Tabernacle… The actual entrance to the Temple was 5 cubits in width, and opened from a porch which comprised two squares of 10 x 10 cubits. It was this porch which supported the two pillars….Jachin and Boaz. 1
An example of the geometry for the 1 x 2 golden rectangle referred to above is seen below.
Plate 1. The Golden Ratio Rectangle
Here is a simple way to draw and understand a rectangle using the Golden Ratio:
Draw a square (of size “1”) Place a dot half way along one side Draw a line from that point to an opposite corner (it will be √5/2 in length) Turn that line so that it runs along the square’s side
Then you can extend the square to be a rectangle with the Golden Ratio. This rectangle above shows us a simple formula for the Golden Ratio.
When one side is 1, the other side is:
The square root of 5 is approximately 2.236068, so the Golden Ratio is approximately (1+2.236068)/2 = 3.236068/2 = 1.618034. This is an easy way to calculate phi and related geometry we find in blueprints of the Temple and Tabernacle.
This is a key topic in our study of Biblical Astronomy principles evident in other studies on our [www.try-god.com] website, like The Calendar of the Biblical Patriarchs. This study points out among many other things that the cycles of the Sun and Moon are correlated via the phi ratio [1.618] in the 50-year Jubilee cycle, because there are 618 full moons every 50 solar years. This not only exhibits another phi relation in our solar system, but also links this divine knowledge to the Hebrew calendar as commanded in Levitcus 25. So, God has designed the phi ratio in our solar system, even as He has all the other phi/Fibonacci/ Lucas relations, throughout the Natural World, exhibiting the Creator’s symmetrical Intelligent Design across multi-levels of His Creation. The preponderance of the phi ratio through the Four Kingdoms of Life, is an awesome testimony to the Creator’s Temporal Order. This phi ratio, is arrived at by a scale invariant comparison. The relationship that becomes evident in this comparison is divine, because it is found throughout all levels of the Natural World, including the micro to the macro. In this comparison of the divine proportion, the whole is to the larger as the larger is to the smaller. This relationship is seen in Plate 1 above as the linear Phi ratio divided into the square root of 5/2 and 1/2. As we observe the appearance of the Phi ratio in the Temple and Tabernacle, we also find the examples of the two altars within the courts of the Temple/ Tabernacle pattern as a whole.
These ground plans of the Tabernacle and Temple of Israel depict the heavenly image of eastern access to God’s presence, via the High Priest’s annual ministry behind the veil, in the holiest of all. The pattern of access from the east mentioned above, holds true not only for Solomon’s Temple of the Old Testament, but also remained for the later Temple referred to in Ezekiel 43:1-5. The two celestial poles of the ecliptic / Equator are mirrored terrestrially in the physical counterparts of their altars, in both the holy of holies and the holy place. As Pinnock states, regarding the brazen altar of burnt offering:” This altar represented one of the two poles at the center of two squares -each upon its own center of polarity….”2
This terrestrial arrangement mirrors the Venn Diagram at the North Astronomical pole, [Figure A.]. These two altars illustrate the bipolar structure of the heavens, seen not only in the galactic poles of the two great celestial circles of the ecliptic and the Equator in northern skies, but also in their reflection in the Earth’s magnetic and geographic bipolar system. The interplay between these galactic poles exhibits a precession of the poles, where the pole star receded from Thuban of Draco, to Polaris of Ursa Minor, over the last five thousand years, [as seen above in the banner for this study]. This embodies the shift of spiritual power from the dragon at the North pole to Cepheus the enthroned human king, [Christ at God’s right Hand] with the North Star Polaris under his feet [Eph. 1:19-22] in this precession of spiritual power. Within the common space shared between the poles of these two circles moving in opposite directions, lies the astronomical vesica or Venn Diagram of the North Pole. [Fig. A]
This quote above from Pennick gives us an indication of how the original principles of “sacred geometry” are preserved in the dimensions and measures of the Tabernacle and Temple and the corresponding elements of their walls, furniture, columns, curtains, altars, orientation, and architecture. This divine celestial plan modeled in the Hebrew Temple and Tabernacle, is the foundation of the “sacred geometry” adopted by Freemasons and others before them, who have tainted these truths in the defiled context of mysticism, divorced from their authentic roots in Judaism and the Astronomy of the Biblical Patriarchs. This study endeavors to return the roots of Astronomy to its genuine origins, dispensing with the corrupt astrological influence and heathen mythology of various ancient cultures and secret societies. Figure A illustrates the double square rectangle, based on the phi ratio, that provides key aspects of both the “pattern of the Tabernacle” and Temple of Israel. [Heb. 8:5, Exod. 25:9, 40]
Figure A. The Northern Astronomical Vesica
This view powerfully depicts how the Temple and Tabernacle symbolized God’s celestial design of the heavens, seen in their two altars, mirroring the two poles of the ecliptic and the Celestial Equator. This also agrees with many of the principles seen in the pattern of God’s Intelligent Design inherent in His Creation. Since this God given “pattern of the Tabernacle” is constructed upon the phi ratio also known as the “divine proportion” or the golden section we find definitive Biblical evidence that this universally recognized standard of measure is truly divine in origin, since the dimensions of these sacred architectural structures were given by revelation from God to Moses and King David. By prioritizing a godly view of this evidence, it allows us to catch new glimpses of glories long hidden from the astrologers and empiricists, whose practices for too long have clouded the inherent grandeur of the Creator’s sacred architecture.
Figure B. The Plans of the Hebrew Temple and Tabernacle
Figure A above shows another view of the precession of the poles from the perspective of the interlocking wheels of the ecliptic and Equator, with the fish shaped lozenge of the vesica between them. This “vessel of the fish” is formed from the lozenge of these two inter-locking circles, the center of each located on the perimeter of the other. Archimedes called the formula associated with this, the “Measure of the fish,” and it is also linked to John’s Gospel record in [Jn. 21:11], where the disciples caught 153 fish following Jesus’ directions. Its import to math and geometry was found in the ratio of its height to its length [153:265], and that it represented the nearest whole number approximation of the square root of three, along with controlling ratios of equilateral triangles.3
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