the divine proportion - golden proportion

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- Phi = 1.618033988749895 - THE GOLDEN NUMBER -

'THE GOLDEN SECTION' IS ALSO KNOWN AS THE GOLDEN MEAN,GOLDEN RATIO AND DIVINE PROPORTION. IT IS A RATIO ORPROPORTION DEFINED BY THE NUMBER PHI: 1.618033988749895

IT CAN BE DERIVED WITH A NUMBER OF GEOMETRICCONSTRUCTIONS, EACH OF WHICH DIVIDES A LINE SEGMENTAT THE UNIQUE POINT WHERE:

THE RATIO OF THE WHOLE LINE (A) TO THE LARGE SEGMENT(B) IS THE SAME AS: 'THE RATIO OF THE LARGE SEGMENT (B)TO THE SMALL SEGMENT (C).'

SECTIONING A LINE TO FORM THE GOLDEN SECTION, BASEDON PHI, THE GOLDEN RATIO, IN OTHER WORDS, A IS TO BAS B IS TO C.

THIS OCCURS ONLY WHERE A IS 1.618 TIMES B AND B IS1.618 TIMES C.

"WHAT IS GOD? HE IS LENGTH, WIDTH, HEIGHT AND DEPTH."- ST BERNARD OF CLAIRVAUX, ON CONSIDERATION -

"GEOMETRY IS THE STUDY OF SPATIAL ORDER THROUGHTHE MEASURE AND RELATIONSHIPS OF FORMS."

GEOMETRY AND ARITHMETIC, TOGETHER WITHASTRONOMY, THE SCIENCE OF TEMPORAL ORDERTHROUGH THE OBSERVATION OF CYCLIC MOVEMENT,CONSTITUTED THE MAJOR INTELLECTUAL DISCIPLINESOF CLASSICAL EDUCATION."

- ROBERT LAWLOR - MYTHOGRAPHER, SYMBOLOGIST -

Pag. 7

FOR THE PYTHAGOREANS, NEOPLATONICS, GNOSTICS ANDTHE RENAISSANCE WIZARDS, THE GEOMETRICS SHAPES ANDNUMBERS ARE ARCHETYPES BEFORE CREATION.

THEY MAKE UP A ESSENTIAL PART OF INICIATIC SYMBOLISM. THEY FIRMLY BELIEVED THAT MERE CONTEMPLATION OF THESESHAPES CARRIED THEM TO VIEW OF ORDER AND HARMONY OFUNIVERSE RHYTMS !

"GEOMETRY HAS TWO GREAT TREASURES: ONE IS THE THEOREMOF PYTHAGORAS; THE OTHER, THE DIVISION OF A LINE INTOEXTREME AND MEAN RATIO. THE FIRST WE MAY COMPARE TO AMEASURE OF GOLD; THE SECOND WE MAY NAME A PRECIOUS JEWEL."

- JOHANNES KEPLER -

"WITHOUT MATHEMATICS THERE IS NO ART."

- LUCA PACIOLI -

"THE GOOD, OF COURSE, IS ALWAYS BEAUTIFUL, AND THE BEAUTIFUL NEVER LACKS PROPORTION." - PLATO -

"LIKE GOD, THE DIVINE PROPORTION IS ALWAYS SIMILAR TO ITSELF."

- LUCA PACIOLI -

"THE MOST BEAUTIFUL THING WE CAN EXPERIENCE IS THE MYSTERIOUS. IT IS THE SOURCE OF ALL TRUE ART AND SCIENCE."

- ALBERT EINSTEIN -