Posts Tagged 'Golden Ratio'

Pythagoras & Cosmic Morphology

Please repost with this link at the top: Reposted from The Awakening Website

Pythagoras

Pythagoras was an Ionian Greek philosopher who lived during the time of Buddha, around 570-495 BC. He was born on the island of Samos in the North Agean Sea.

Throughout his life, Pythagoras made influential contributions to philosophy and religious teaching, and is often revered as a great mathematician, mystic and scientist. But only fragments of his writings survive to give clues to all of his many philosophies, the most famous fragment being a compos-ite entitled the Golden Verses.

To those who listen to my teaching, more understanding will be given, and they will have an abundance of knowledge. Matthew 13:12

It was the standard belief in antiquity that Pythagoras undertook extensive travels for the sole purpose of accumulating knowledge and wisdom. In about 525 BC, he travelled to Egypt where he was admitted to the Egyptian priesthood. There, he spent twenty-two years studying under the high priests in the temples of Egypt.

Pythagoras became a Grand Master of the Order of the Magi, one of the oldest spiritual organizations that has ever existed and one of the most exclusive of the mystery schools.  It was this special group of Priests who were Divinely informed of the birth of the Christ child. It was they who then journeyed to welcome him into this world.

The ancient Order of the Magi was the principle religion of the ancient Chaldeans whose temples were located in Chaldea, Egypt and Persia.  The word magi takes its origins from the Greek word magos, which refers to the Chaldeans who gained an international reputation for being astrologers. Their use of astrology is what led to the translation to the word magic.

Magic is what we call any science we do not understand. Arthur C. Clarke

Upon his return to the Mediterranean, Pythagoras founded Pythagoreanism, a religious movement within which education, science and religion were all perfectly unified. His mystery school, which stood on the southern coast of Italy, was called the Pythagorean Italic School.[i]

The Pythagorean School contained nine different temples to the different arts and sciences, including geometry, astronomy, music, medicine, philosophy, politics and especially mathematics. But his esoteric teachings were kept a profound secret. Candidates had to pass through a period of probation, in which their disposition and mental capacity was tested along with their ability to maintain silence.Those who were initiated into the movement established a select brotherhood for the purpose of pursuing the religious and ascetic practices he developed. These followers were called Esoterici - The Esoteric.

The experience of life in a finite, limited body is specifically for the purpose of discovering and manifesting supernatural existence. Pythagoras

The discovery of the Golden Ratio, which appears frequently in geometry, is attributed to Pythagoras. The ‘division of a line into extreme and mean ratio’ is important in the geometry of regular pentagrams and pentagons.[ii] It is interesting to note that he chose, as the emblem for his society, the shape of a pentagram inscribed within the shape of another pentagon.

Geometry has two great treasures: one is the Theorem of Pythagoras, and the other the division of a line into extreme and mean ratio. Johannes Kepler

There are five geometric shapes that have faces, edges and angles that are congruent. Named after the famous Pythagorean known as Plato, four of these Platonic solids include the tetrahedron, octahedron and icosahedron, all of which have a triangle on each side, as well as the cube, which has a square on each side. The Pythagoreans understood that the Universe is composed of four elements – fire (radiation), earth (solid), air (gas) and water (liquid).  And they believed that the particles of each of these elements are in the shapes of these four Platonic solids.

They also believed that the Earth is surrounded by one solid, which is then surrounded by another solid, and so on. In other words, the Earth grid of electro-magnetic lines and vortexes is comprised of smaller grids, each of which is in the shape of a different Platonic solid.[iii]

etherBut there is a fifth solid, called the dodecahedron, which has a pentagon on each of its 12 sides. The dodecahedron is by far the most difficult of the solids to construct because the drawing of the pentagon requires an elaborate application of the Theorem of Pythagoras for which he is best known.

But what is most interesting is that the Pythagoreans believed that the element that is in the shape of the dodecahedron is ether- God’s Spirit.  Ether is the source of all things that arise in Space and Time. And it is this shape that surrounds Earth and the other four solids combined.

And when, after having divested yourself of your mortal body, you arrive at the most pure ether, you shall be a God. Pythagoras

Video:  http://www.youtube.com/adrianoconnor

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[i] The Return of the Serpents of Wisdom, Mark Amaru Pinkham, Adventures Unlimited Press, 1998
[ii] Bygone Beliefs: Being a Series of Excursions in the Byways of Thought, Herbert Stanley Redgrove, Forgotten Books, 2008
[iii] Anti-Gravity and the World Grid, David Hatcher Childress, Adventures Unlimited Press, 1987

Pythagoras & Cosmic Morphology

Please repost with this link at the top: Reposted from The Awakening Website

Pythagoras

Pythagoras was an Ionian Greek philosopher who lived during the time of Buddha, around 570-495 BC. He was born on the island of Samos in the North Agean Sea.

Throughout his life, Pythagoras made influential contributions to philosophy and religious teaching, and is often revered as a great mathematician, mystic and scientist. But only fragments of his writings survive to give clues to all of his many philosophies, the most famous fragment being a compos-ite entitled the Golden Verses.

To those who listen to my teaching, more understanding will be given, and they will have an abundance of knowledge. Matthew 13:12

It was the standard belief in antiquity that Pythagoras undertook extensive travels for the sole purpose of accumulating knowledge and wisdom. In about 525 BC, he travelled to Egypt where he was admitted to the Egyptian priesthood. There, he spent twenty-two years studying under the high priests in the temples of Egypt.

Pythagoras became a Grand Master of the Order of the Magi, one of the oldest spiritual organizations that has ever existed and one of the most exclusive of the mystery schools.  It was this special group of Priests who were Divinely informed of the birth of the Christ child. It was they who then journeyed to welcome him into this world.

The ancient Order of the Magi was the principle religion of the ancient Chaldeans whose temples were located in Chaldea, Egypt and Persia.  The word magi takes its origins from the Greek word magos, which refers to the Chaldeans who gained an international reputation for being astrologers. Their use of astrology is what led to the translation to the word magic.

Magic is what we call any science we do not understand. Arthur C. Clarke

Upon his return to the Mediterranean, Pythagoras founded Pythagoreanism, a religious movement within which education, science and religion were all perfectly unified. His mystery school, which stood on the southern coast of Italy, was called the Pythagorean Italic School.[i]

The Pythagorean School contained nine different temples to the different arts and sciences, including geometry, astronomy, music, medicine, philosophy, politics and especially mathematics. But his esoteric teachings were kept a profound secret. Candidates had to pass through a period of probation, in which their disposition and mental capacity was tested along with their ability to maintain silence.Those who were initiated into the movement established a select brotherhood for the purpose of pursuing the religious and ascetic practices he developed. These followers were called Esoterici - The Esoteric.

The experience of life in a finite, limited body is specifically for the purpose of discovering and manifesting supernatural existence. Pythagoras

The discovery of the Golden Ratio, which appears frequently in geometry, is attributed to Pythagoras. The ‘division of a line into extreme and mean ratio’ is important in the geometry of regular pentagrams and pentagons.[ii] It is interesting to note that he chose as the emblem for his society the shape of a pentagram inscribed within the shape of a pentagon.

Geometry has two great treasures: one is the Theorem of Pythagoras, and the other the division of a line into extreme and mean ratio. Johannes Kepler

There are five geometric shapes that have faces, edges and angles that are congruent. Named after the famous Pythagorean known as Plato, four of these Platonic solids include the tetrahedron, octahedron and icosahedron, all of which have a triangle on each side, as well as the cube, which has a square on each side. The Pythagoreans understood that the Universe is composed of four elements – fire (radiation), earth (solid), air (gas) and water (liquid).  And they believed that the particles of each of these elements are in the shapes of these four Platonic solids.

They also believed that the Earth is surrounded by one solid, which is then surrounded by another solid, and so on. In other words, the Earth grid of electro-magnetic lines and vortexes is comprised of smaller grids, each of which is in the shape of a different Platonic solid.[iii]

etherBut there is a fifth solid, called the dodecahedron, which has a pentagon on each of its 12 sides. The dodecahedron is by far the most difficult of the solids to construct because the drawing of the pentagon requires an elaborate application of the Theorem of Pythagoras for which he is best known.

But what is most interesting is that the Pythagoreans believed that the element that is in the shape of the dodecahedron is etheric Spirit, the original source of all things that arise in Space and Time. And it is this shape that surrounds Earth and the other four solids combined.

And when, after having divested yourself of your mortal body, you arrive at the most pure ether, you shall be a God. Pythagoras

Video:  http://www.youtube.com/adrianoconnor

_______________________________________________________________

[i] The Return of the Serpents of Wisdom, Mark Amaru Pinkham, Adventures Unlimited Press, 1998
[ii] Bygone Beliefs: Being a Series of Excursions in the Byways of Thought, Herbert Stanley Redgrove, Forgotten Books, 2008
[iii] Anti-Gravity and the World Grid, David Hatcher Childress, Adventures Unlimited Press, 1987

Sacred Geometry, God’s Fingerprint

Please repost with this link at the top: Reposted from The Awakening Website

FibonacciIn the year 1170 AD, Leonardo Pisano was born into the Bonacci family that lived in what is now Pisa, Italy. His father was a wealthy Italian merchant. So, in his travels throughout the Middle East, Leonardo became captivated by the mathematical concepts in India. When he returned to Italy, he published these concepts in a book titled Liber Abaci.

At that time, European tradesmen and scholars were still clinging to the use of the old Roman numeral system. When Pisano introduced them to modus Indorum, the Hindu numeral system, he became the most illustrious mathematician of the Middle Ages.

Centuries later, the late Pisano came to be known as Fibonacci, the son of Bonacci. His book illustrates the practical importance of the Hindu numeral system using lattice multiplication and Egyptian fractions. Modern mathematics would have been impossible without this system of numerals, which we now call Arabic.

But, hidden away in Fibonacci’s book, there is also a brainteaser for which the answer is a specific sequence of numbers that continues indefinitely. Each number in this sequence is the sum of the previous two. So this sequence of numbers is 0, 1, 1, 2, 3, 5, 8, 13, etc.

Vitruvian ManAs this sequence continues, the ratio between each number becomes closer and closer to 1.618 – the Golden Ratio, also known as Phi. This is the ratio that nature relies on to maintain balance. It describes the proportions of everything from atoms to planets.

This is how you are to build it: The ark is to be 300 cubits Long, 50 cubits Wide and 30 cubits High. Genesis 6:15

In the biblical Book of Genesis, Noah is instructed to use the Golden Ratio in the building of his famous Ark. Where one cubit converts to 20.6 inches, 300 cubits converts to 6180 inches, the inverse of Phi.

Have them make a chest of acacia wood—two and a half cubits Long, a cubit and a half Wide, and a cubit and a half High. Exodus 25:10

Almost everything has dimensional properties that adhere to this Golden Ratio of 1.618. If you divide the number of female bees in a hive by the number of male bees, you will get 1.618. And sunflowers, which have opposing spirals of seeds, have a 1.618 ratio between the diameters of each rotation.

Build an altar of acacia wood, three cubits High; It is to be square, five cubits Long and five cubits Wide. Exodus 27:1

The Golden Ratio, which is also known as the Golden Section and the Golden Mean, has a fundamental function for the building blocks of nature. It appears in art and science, as well as in classical theories of beauty and proportion. The most fascinating display of this sequence is in spirals, which can be seen in everything from pine cones to pineapples to nautilus shells – even the DNA molecule.

Leonardo Da Vinci used the Golden Ratio and the proportions of his famous drawing, Vitruvian Man, to allow the squaring of a circle by means of a straight edge and a compass. He did this with amazing accuracy. He believed in the Law of Correspondence – that the workings of the human body are an analogy for the workings of the entire Universe.

Where there is matter, there is geometry. Johannes Kepler

 

Video:  http://www.youtube.com/TheocraticResearch

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