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Pause Start Back Next Translation Society Titles Top Science Titles Top Metaphysics Titles Science Categories Metaphysics Categories Cosmological Economics Financial Astrology
The Sacred Science Translation Society began in 2004 as a project to translate a collection of the most important and rare works on Cosmology & Esoteric Science into English. Through Angel DonorsSubscribtion Contributions we raised over $40,000 to translate famous foreign masterpieces from French & German on critical subjects in Harmonics, Geometry, Esoteric Mathematics, & Ancient Cosmology.
Hans Kayser was one of the 20th century's leading scientists who made a profound mathematical, geometric and philosophical study of the Science of Harmonics. Now finally avaible in English though our Translation Society, Kayser's series of works explore the deepest principles of Pythagorean Harmony & Order.  His profound research reveals critical insights into Gann Theory & The Law of Vibration.
Our second translation is a French masterpiece on the establishment of a "Golden Rule" according to the principles of Tantrism, Taoism, Pythagoreanism, & the Kabala, serving to fulfill the Laws of Universal Harmony & contributing to the accomplishment of the Great Work. It develops a system of correspondences between the symbolic, geometrical, mathematical & astronomical systems of architecture of the ancient world.
The Law Of The Cosmos: The Divine Harmony According To Plato's Republic/Timeaus. The Platonic Riddle Of Numbers Solved contains hundreds of the most sophisticated diagrams on Sacred Geometry, Pythagorean & Platonic Number Theory, Harmonics & Astronomy with analysis & elaboration of Universal Order & Cosmic Law. Herman Hesse called him a Magisterludi of the Glass Bead Game.
THE ARCHEOMETER: Key To All The Religions & Sciences of Antiquity, Synthetic Reformation of All Contemporary Arts. The Archeometer is the instrument used by the Ancients for the formation of the esoteric Canon of ancient Art and Science in its various architectural, musical, scientific forms. A highly respected elaborations of the Universal System, by one of the great esotericists of the 19th century.
W.D. Gann Works
W.D. Gann Works
W.D. Gann Works
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The work of Dr. Baumring is the core inspiration upon which this entire website is based. Baumring is the only known modern person to have cracked the code behind WD Gann’s system of trading and market order. Baumring found and elaborated the system of scientific cosmology at the root of Gann’s Law of Vibration. There is no other Gann teaching that gets close to the depth of Baumring’s work.

Book Contents - The Law Of The Cosmos The Divine Harmony According to Plato’s Republic – Timaeus: The Platonic Riddle of Numbers Newly Solved and Illustrated

A Translation Society Edition

by Eberhard Wortmann

Contents

Foreword

  • Quotations - Pages 11-12
  • Republic, or Plato’s Political Secret - Pages 13-14

Introduction

  • Quotations - Pages 15-16
  • The Riddle of Numbers in the Republic - Page 17
  • The Solution of the Republic Riddle (Plate 1) - Pages 18-19
  • Step Pyramid and Ideal Pyramid (Plate 2) - Page 20
  • The Significance of the Republic Pyramid - Page 21
  • Apotheosis (Plate 3) - Page 22
  • Timaeus, or Revelation by Means of Number - Page 23

Part I:

  • The Four Essences - Pages 23-24
  • Introduction - Quotations - Pages 25-26
  • The Timaeus Number Riddle - Page 27
  • The Arithmetical Solution of the Timaeus Riddle (Plates 4-5) - Pages 28-29
  • The Regular Polyhedrons (Plates 6-7) - Page 30
  • The Four Essences (Plate 8) - Page 31
  • The Proofs - Pages 32-33
  • The Master Speaks - Page 34

Part II:

  • The Best of Things Created - Pages 35-36
  • Introduction - Quotations - Page 37
  • Description of the Water Jug (Plate 9) - Page 38
  • The Golden Section (Plate 10) - Page 39
  • The Cones of the Jug (Plate 11) - Page 40
  • The Isosceles Triangles in the Jug Section (Plate 11) - Page 40
  • The Right Triangle in the Jug Section (Plate 11) - Page 40
  • The Volume of the Jug (Plate 11) - Page 41
  • The Extinguisher (Plates 12-13) - Page 42
  • The Extinguisher Knob (Plates 12-13) - Page 42
  • The Oil Vessel (Plates 12-13) - Page 43
  • Wick and Flame (Plate 14) - Page 43
  • The Jug Stand (Plate 14) - Page 43
  • Circles and Polygons in the Extinguisher (Plate 15) - Page 44
  • The Accessory Cones of the Jug (Plate 16) - Page 45
  • The Hendecagon of the Jug Section (Plate 17) - Page 45
  • The Cross Section of the Jug - Page 46
  • The Pentagons (Plate 18) - Page 46
  • Ten-Pointed Star and Five-Pointed Star (Plate 19) - Page 47
  • The Polygons (Plates 20-21) - Page 47
  • The Pointer (The Quadrature of the Circle) (Plate 23) - Page 47
  • The Altar (The Squares of the Egyptian Triangles) (Plate 22) - Page 48
  • The Conic Sections (Plate 24) - Page 48
  • The Symbolon (Plate 25) - Page 49
  • The Spear Point (Plate 26) - Page 49
  • Mysteries from the Ancient Past - Page 50
  • Chalice and Holy Grail (Plate 27) - Pages 51-52

Part III:

  • Psyche, or the Flower Miracle - Pages 53-54
  • Introduction - Quotations - Page 55
  • 1st image: Thaumazein – The Astonishment (Plate 28) - Page 56
  • 2nd image: Psychogenesis – The Generation of the Soul (Plate 29) - Page 57
  • 3rd image: Catharsis – The Purification (Plate 30) - Page 57
  • 4th image: Psyche Alogos – The Natural Soul (Plate 31) - Page 58
  • 5th image: Psyche Logistikon – The Enlightened Soul (Plate 32) - Page 59
  • The Proportion of the Flower Miracle (Plate 34) - Page 59
  • The Total Proportion of the Timaeus Parts I/III (Plate 34) - Pages 60-62

Part IV:

  • The Sign of the Macrocosm - Pages 63-64
  • Introduction – Quotations - Page 65
  • The Sign of the Macrocosm (Plate 35) - Page 66
  • The Orbits of the Planets (Plates 36-37) - Page 67
  • The Sphairion (The First Horoscope) (Plate 38)Page 68
  • The Conjunction of the Moon, Earth, and Venus (Plate 39) - Page 68
  • The Opposition of Jupiter and Mars (Plate 40) - Page 69
  • Helios, the Conjunction of the Sun, Saturn, and Mercury (Plate 41) - Page 69
  • The Blooming Heaven (Plate 42) - Page 70
  • Orion, the Soul of the Universe (Plate 43) - Page 70
  • The Animated Bands (the Fixed Stars) (Plate 44) - Page 71
  • The Timaeus Sigil - Page 72

Part V:

  • Thus did Time come into Being - Pages 73-74
  • Introduction – Quotations - Page 75
  • The Revolution Periods of the Planets - Page 76
  • The Three Regulators (Plate 45) - Page 76
  • The Corrected Revolution Periods of the Planets - Page 77
  • The World-Year - Page 78
  • The Planets’ Revolution Periods in the World-Year - Page 79
  • The Proportion of the Planets’ Revolution Periods - Page 79
  • The Sacrificial Vessel (Plate 46) - Page 80
  • The Planets’ Revolution Periods in Divine Time - Page 80
  • Sirius, the World Clock (Plate 47) - Page 81
  • Time Measurement And Its History - Page 81
  • Platonic Time Division - Page 82
  • The Eight World-Years - Page 82
  • World Fire And New Beginning - Page 82
  • Saturn the Destroyer (Plate 48) - Page 83
  • The Deluges - Page 84
  • The Dagger in the Sky (Plate 49) - Page 84
  • Table of the Gaining Planetary Revolution Periods - Page 85
  • The Hunt of the Two Moons (Plate 50) - Page 86
  • The End of the Doomed Planet (Plate 51) - Page 87
  • The Pendulum System (Plate 52) - Pages 216 + 188
  • The Emergence of the World from the Soul - Page 90
    • A) The Pentagon Again (Plate 53) - Page 90
    • B) The Windmill (Plate 54) - Page 90
    • C) The Soul’s Kernel (Plate 54) - Page 90
    • D) The Tree of the Immortal Soul (Plate 55) - Page 91
    • E) The Two Bands (Plate 56) - Page 91
    • F) The Second Division: Zodiac, Planets, Polar Circle, Sirius (Plate 57) - Page 91
    • G) Illustration of the Division of the Sphere’s Outer Surface through a circle - Page 92
    • H) The Mixing of the World-Soul (Plate 59) - Page 92
    • I) The Key (Plate 60) - Page 93
  • A Game With Prime Numbers - Page 94
  • The Number 37 - Page 94
  • The Number 315 - Page 94

Part VI:

  • The Image of the Deity - Pages 95-96
  • Introduction; Quotations - Page 97
  • Alpha and Omega, the 1; The Pole Star 216 (Plate 61) - Page 98
  • The Image of the Deity (Plate 62) - Page 98
  • Coronas and Ray Spheres (Plate 63) - Page 99
  • The Force of Movement (Plate 64) - Page 99
  • The Volume of the Pendulum System - Page 100
  • The Pyramid Peak (Plates 65-66) - Pages 100-101
  • The Neck and Breast Jewelry (Plate 67) - Page 102
  • The Monstrance (Plate 68) - Pages 102-103
  • The Regular Polyhedrons Again - Page 104
  • The 1st Polyhedron Harmony: The Eyes of the Deity (Plates 69-70) - Page 104
  • The Water Clock (Plate 71) - Page 105
  • The Orb (Plate 71) - Page 105
  • The 2nd Polyhedron Harmony: The Treasure House (Plates 72-73) - Page 106
  • The 3rd Polyhedron Harmony: The Polyhedron Symbola (Plate 74) - Page 107
  • The Great Number Game - Page 108
  • The Whole Proportion of the Surfaces of Timaeus I-VI - Page 109
  • Spider with Web (Plate 75) - Page 109
  • The Whole Proportion of the Solids of Timaeus I-VI - Page 110
  • The Lighthouse (Plate 76) - Pages 111-112

Part VII:

  • The Ruler - Pages 113-114
  • Introduction; Quotations - Page 115
  • The Basilica of the Holy Wisdom (Plate 77) - Page 116
  • The Council of Supreme Justice (Plate 78) - Page 117
  • The Eagle – The Aerie – The Toe Point – The World-Sphere – The Top (Plate 79) - Page 118
  • The Crown (The Tiara) (Plate 80) - Page 119
  • The Dagger (The Imperial Sword) – The Shield – The Balsam Vessel (Plate 80) - Page 119
  • The Orb – The Scepter – The Regalia – The Veil – The Head of the Ruler (Plates 80-82) - Page 119
  • The Stola – The Girdle (Plate 82) - Page 120
  • The Six Arriving Worlds – The Eleven Spheres of the Divine (Plate 87) - Page 121
  • The Statue of the Youth (Plate 83) - Page 121
  • The Form of the Ruler – The Sacrificial Vessel – The 7 Leading Ropes – The Crystal Ball (Plate 87) - Page 121
  • The Ruler’s Throne (Plate 84) - Page 122
  • The Twenty-Two-Pointed Star – The Great Heptagon – The Small Heptagon – The 7 Rays – Ray Tips and Arrow Tips – The 7 Equilateral Triangles – The Triple Vessels – The Square (Plates 85-86) - Page 123
  • The Two Jug Sections – The Twenty-One-Pointed Star – The Sixty-Three-Pointed Star – The Wreath of the Triune Deity – The Ruler as a Surface (Plates 85-86) - Page 124
  • The Reticule – The Soul Emerges From the Deity (Plate 86) - Page 125
  • The Ruler (Plate 87) - Page 126
  • The Total Proportion of Parts I-VII of the Timaeus - Pages 127-129
  • The Total Proportion of the Sections - Pages 130-132

Part VIII:

  • Ad Infinitum - Pages 133-134
  • Introduction - Quotations - Page 135
  • The Solids of the Image: The Peacock’s Throne (Plate 92) - Page 136
  • The Wheel of Time (Plate 88) - Page 136
  • The Peacock’s Body (Plate 91) - Page 136
  • The Peacock’s Head (Plate 89) - Page 137
  • The Wheel of Fate (Plate 89) - Page 137
  • The Peacocks’ Claw (Plate 91) - Page 138
  • The Peacock’s Leg (Plate 91) - Page 138
  • The Peacock’s Neck (Plate 91) - Page 138
  • The Peacock’s Beak (Plate 91) - Page 138
  • The Peacock’s Feathers (Plate 91) - Page 138
  • The Surfaces of the Image “The Peacock’s Throne” (Plates 90-92) - Page 139
  • The Total Proportion of Timaeus Parts I-VIII - Page 140
  • Conclusion - Pages 141-142
  • Appendix: - The Harmony of the Spheres - Pages 143-144
  • Introduction; Quotations - Page 145
  • Pythagoras and Music (Plates 93-94) - Page 146
  • The Vibration Ratios of the Tone Intervals (Plate 93) - Page 146
  • The Harmony of the Spheres (Plate 93) - Page 147
  • Mathematical Proof - Page 147
  • Historical Proof - Page 147

Plate Index

  • Plate 1 - Construction elements of the Republic Pyramid
  • Plate 2 -  
  • Plate 3 - The Republic Pyramid
  • Plate 4 - The Timaeus Number Chart
  • Plate 5 - The Triple Delta
  • Plate 6 - The Regular Polyhedrons
  • Plate 7 - The Three Spheres
  • Plate 8 - The Four Essences
  • Plate 9 - The Water Jug, Image of the Soul
  • Plate 10 - The Golden Section
  • Plate 11 - The Cones of the Jug
  • Plate 12 - Jug with Lid, Extinguisher and Extinguisher Knob
  • Plate 13 - Oil Vessel, Extinguisher, and Extinguisher Knob
  • Plate 14 - Wick and Flame
  • Plate 15 - Circles and Polygons in the Extinguisher
  • Plate 16 - The Auxiliary Cones of the Jug
  • Plate 17 - The Hendecagon of the Jug Section
  • Plate 18 - The Pentagons
  • Plate 19 - Ten-pointed star and five-pointed star
  • Plate 20 - The Polygons
  • Plate 21 - The Blossoms of the Polygons
  • Plate 22 - The Altar
  • Plate 23 - The Pointer (the quadrature of the Circle)
  • Plate 24 - The Cone Sections
  • Plate 25 - The Symbolon
  • Plate 26 - The Spear Point
  • Plate 27 - Chalice and Holy Grail
  • Plate 28 - Image 1: Thaumazein – the Astonishment
  • Plate 29 - Image 2: Psychogenesis - the Generation of the Soul
  • Plate 30 - Image 3: Catharsis – the Purification
  • Plate 31 - Image 4: Psyche Alogos – the Natural Soul
  • Plate 32 - Image 5: Psyche Logistikon – the Enlightened Soul
  • Plate 33 - Construction Parts of the Flower Miracle
  • Plate 34 - The Geometric Proportion of the Timaeus Parts I-III
  • Plate 35 - The Sign of the Macrocosm
  • Plate 36 - The Planetary Orbits I
  • Plate 37 - The Planetary Orbits II
  • Plate 38 - The Sphairion (The First Horoscope)
  • Plate 39 - The Conjunction of the Moon, Earth, and Venus
  • Plate 40 - The Opposition of Jupiter and Mars
  • Plate 41 - The Conjunction of the Sun, Saturn, and Mercury
  • Plate 42 - The Blooming Heaven
  • Plate 43 - Orion, the Soul of the Universe
  • Plate 44 - The Animated Belts: The Fixed Stars
  • Plate 45 - The Three Regulators
  • Plate 46 - The Sacrificial Vessel
  • Plate 47 - Sirius – the World Clock
  • Plate 48 - Saturn the Destroyer
  • Plate 49 - The Dagger in the Sky
  • Plate 50 - The Hunt of the Two Moons
  • Plate 51 - The End of the Doomed Planet
  • Plate 52 - The Pendulum System
  • Plate 53 - The Pentagon Again
  • Plate 54 - The Windmill – The Soul’s Kernel
  • Plate 55 - The Tree of the Immortal Soul
  • Plate 56 - The Two Belts
  • Plate 57 - Division II: Zodiac, planets, polar circle, Sirius
  • Plate 58 - The Emergence of the World from the Soul
  • Plate 59 - The Mixing of the World-Soul
  • Plate 60 - The Key
  • Plate 61 - Alpha and Omega - The 1 – The Polestar 216
  • Plate 62 - The Image of the Deity
  • Plate 63 - Coronas and ray spheres
  • Plate 64 - The Power of Movement
  • Plate 65 - The Pyramid Peak I
  • Plate 66 - The Pyramid Peak II
  • Plate 67 - The Neck and Breast Jewellery
  • Plate 68 - The Monstrance
  • Plate 69 - The 1st Polyhedron Harmony: The Eyes of the Deity
  • Plate 70 - The Development of the Polyhedron Blossom
  • Plate 71 - The Water Clock
  • Plate 72 - The 2nd Polyhedron Harmony: the Treasure House
  • Plate 73 - The Reinforcement of the Polyhedron
  • Plate 74 - The 3rd Polyhedrons Harmony: the Polyhedron Symbola
  • Plate 75 - Spider with Web
  • Plate 76 - The Lighthouse
  • Plate 77 - The Basilica of the Holy Wisdom
  • Plate 78 - The Council of Supreme Justice
  • Plate 79 - The Eagle ... The Aerie
  • Plate 80 - The Insignia of Authority
  • Plate 81 - The Head of the Ruler
  • Plate 82 - Upper Part of the Ruler’s Form
  • Plate 83 - The Statue of the Youth
  • Plate 84 - The Ruler’s Throne
  • Plate 85 - The Surfaces of the Image "The Ruler" I
  • Plate 86 - The Surfaces of the Image "The Ruler" II
  • Plate 87 - The Ruler
  • Plate 88 - The Wheel of Time
  • Plate 89 - The Wheel of Fate
  • Plate 90 - A Feather from the Peacock Wheel
  • Plate 91 - The Peacock
  • Plate 92 - The Peacock’s Throne
  • Plate 93 - The Three Pythagorean Monochords
  • Plate 94 - The Pythagorean Circle of Fifths

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