Encyclopedia - Pythagoras: Encyclopedia - Pythagoras
Pythagoras (approximately 569 BCE – 475 BCE, Greek: Πυθαγόρας) was an Ionian mathematician and philosopher, founder of the my...   » Read the article

Encyclopedia - Pythagoras: Encyclopedia Ii - Pythagoras - Scientific Contributions
Some consider Pythagoras the pupil of Anaximander and some ancient sources tell of his visiting, in his twenties, the philosopher Thales,...   » Read the article

Encyclopedia - Pythagoras: Encyclopedia Ii - Pythagoras - Pythagoreans
Pythagoras' followers were commonly called "Pythagoreans." For the most part we remember them as philosophical mathematicians who had an ...   » Read the article

Article - Numerology: Introduction To Numerology
 The art and science of numerology has existed for thousands of years, though its exact origins are uncertain. The ancient Egyptians...   » Read the article

Encyclopedia - Pythagoreanism: Encyclopedia - Pythagoreanism
Pythagoreanism is a term used for the esoteric and metaphysical beliefs held by Pythagoras and his followers, the Pythagoreans, who were ...   » Read the article

Encyclopedia - Pythagoras: Encyclopedia Ii - Pythagoras - Biography
Pythagoras was born on the island of Samos, off the coast of Asia Minor. He was born to Pythais (a native of Samos) and Mnesarchus (a mer...   » Read the article

Article - Reincarnation: Doctrine Of Reincarnation
Emerson, Plato, Pythagoras had perfect belief in the doctrine of reincarnation. The doctrine of reincarnation is the foundation of Hindui...   » Read the article

Article - Reincarnation: Karma And Reincarnation - Ii
The doctrine of reincarnation is accepted by the majority of mankind at the present day. It has been held as true by the mightiest Easter...   » Read the article

Encyclopedia - Numerology: Encyclopedia - Numerology
Numerology is the study of the purported mystical or esoteric relationship between numbers and the character or action of physical object...   » Read the article

Encyclopedia - Sacred Geometry: Encyclopedia - Sacred Geometry
Sacred geometry is geometry that is sacred to the observer or discoverer of the geometry. This meaning is sometimes described as being th...   » Read the article

Encyclopedia - Geometry: Encyclopedia - Geometry
Geometry (Greek γεωμετρία; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. It...   » Read the article

Encyclopedia - Apollonius Of Tyana: Encyclopedia - Apollonius Of Tyana
Apollonius of Tyana (13 March 2 – 98?) was a Neo-Pythagorean philosopher and teacher of Greek origin. His teaching influenced scientifi...   » Read the article

Encyclopedia - Pentagram: Encyclopedia - Pentagram
A pentagram is a five-pointed star drawn with five straight strokes. In fact, the word pentagram comes from the Greek word πεντάγρ...   » Read the article

Encyclopedia - Know Thyself: Encyclopedia - Know Thyself
The Ancient Greek aphorism "Know thyself" (Greek: ΓΝΩΘΙ ΣΑΥΤΟΝ or gnothi sauton) was inscribed in golden letters at the lintel...   » Read the article

Encyclopedia - Musica Universalis: Encyclopedia - Musica Universalis
Musica universalis or music of the spheres is a medieval philosophical concept that regards the proportions in the movements of the celes...   » Read the article

Encyclopedia - Macrocosm And Microcosm: Encyclopedia - Macrocosm And Microcosm
Macrocosm and microcosm is an ancient Greek schema of seeing the same patterns reproduced in all levels of reality. It may have begun wit...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia - Trigonometric Function
In mathematics, the trigonometric functions are functions of an angle, important when studying triangles and modeling periodic phenomena....   » Read the article

Encyclopedia - Heraclitus: Encyclopedia - Heraclitus
Heraclitus of Ephesus (Greek Ήράκλειτος Herakleitos) (about 535 - 475 BC), known as 'The Obscure,' was a pre-Socratic Greek phi...   » Read the article

Encyclopedia - Monad: Encyclopedia - Monad
The word monad comes from the Greek word μονάς (from the word μόνος, which means "one", "single", "unique") and has had many me...   » Read the article

Dictionary - Pythagoras: New Age Spiritual Dictionary On Pythagoras
Pythagoras Greek philosopher from Samos noted for his doctrine of the Harmony of the Spheres and teaching that all is number. (-6th c...   » Read the article

Dictionary - Pythagoras: Mysticism Magick Dictionary On Pythagoras
PYTHAGORAS Greek philosopher, born circa 572 B.C. on the island of Samos. Taught mathematics, reincarnation, meditation, psychic immor...   » Read the article

Dictionary - Pythagoras: Spiritual Theosophical Dictionary On Pythagoras
Pythagoras (Ancient Greek). The most famous of mystic philosophers, born at Samos, about 586 B.C. He seems to have travelled all over ...   » Read the article

Encyclopedia - Pythagoreanism: Encyclopedia Ii - Pythagoreanism - Pythagorean Cosmology
Pythagorean thought was dominated by mathematics, but it was also profoundly mystical. In the area of cosmology there is less agreement a...   » Read the article

Encyclopedia - Geometry: Encyclopedia Ii - Geometry - The Greek Period C. 600 B.c. – 600 A.d.
The Greek Period must be considered in detail, since geometry, for most of its history, was what the Greeks made it. For the Ancient Gree...   » Read the article

Encyclopedia - Pythagoreanism: Encyclopedia Ii - Pythagoreanism - Influence
The word 'vegetarian' was coined in 1847 when the British Vegetarian Society was formed. Before this, vegetarians were known as Pythagore...   » Read the article

Encyclopedia - Geometry: Encyclopedia Ii - Geometry - The Earliest Geometry
The earliest recorded beginnings of geometry may be traced to Ancient Egypt (see geometry in Egypt) and Ancient Babylon (see Babylonian m...   » Read the article

Encyclopedia - Geometry: Encyclopedia Ii - Geometry - The Middle Ages Renaissance And Reformation
The great library of Alexandria was burned. There is a growing consensus among historians that the Library of Alexandria likely suffered ...   » Read the article

Encyclopedia - Geometry: Encyclopedia Ii - Geometry - The 17th And Early 18th Centuries
In the early 17th century, there were two important developments in geometry. The first and most important was the creation of analytic g...   » Read the article

Encyclopedia - Geometry: Encyclopedia Ii - Geometry - The Late 18th And 19th Centuries
Geometry - Non-Euclidean geometry. The old problem of proving Euclid’s Fifth Postulate, the "Parallel Postulate", from his first four...   » Read the article

Encyclopedia - Beauty: Encyclopedia Ii - Beauty - Theories Of Beauty
The earliest theory of beauty can be found in the works of early Greek philosophers from the pre-Socratic period, such as Pythagoras. The...   » Read the article

Encyclopedia - Pentagram: Encyclopedia Ii - Pentagram - History
The first uses of the pentagram we know of are found in Mesopotamian writings dating to about 3000 B.C. The Sumerian pentagrams served as...   » Read the article

Dictionary - Numerology: Wiccan Pagan Dictionary On Numerology
NUMEROLOGY - science of numbers, associated with Pythagoras, the Kabbalah and witchcraft. (NAD)   (See also: NUMEROLOGY , Wicc...   » Read the article

Dictionary - Yavanacharya: Tantra Tantric Dictionary On Yavanacharya
Yavanacharya: Yavanacharya. "The Greek Teacher". Pythagoras.   (See also: Yavanacharya , Tantra, Tantra Dictionar...   » Read the article

Dictionary - Harmony Of The Spheres: New Age Spiritual Dictionary On Harmony Of The Spheres
Harmony of the Spheres The cosmos as a vast musical harmony (Pythagoras)   (See also: Harmony of the Spheres , Body Mind and ...   » Read the article

Dictionary - Arithmomancy: Spiritual Theosophical Dictionary On Arithmomancy
Arithmomancy (Ancient Greek). The science of correspondences between gods, men, and numbers, as taught by Pythagoras.   (See a...   » Read the article

Encyclopedia - Pythagorean Theorem: Encyclopedia Ii - Pythagorean Theorem - History
The history of the theorem called Pythagorean can be divided into three parts: knowledge of Pythagorean triples, knowledge of the relatio...   » Read the article

Dictionary - Akousmatikoi: Spiritual - Theosophy Dictionary On Akousmatikoi
Akousmatikoi (Greek) Hearers, listeners; probationers in the school of Pythagoras (Wind of the Spirit 309, 111).   (See also: ...   » Read the article

Encyclopedia - Zalmoxis: Encyclopedia Ii - Zalmoxis - The Man
Herodotus was told by the euhemeristic Pontic Greeks that Zalmoxis was really a man, formerly a slave (or disciple) of Pythagoras, who ta...   » Read the article

Dictionary - Alogon: Spiritual - Theosophy Dictionary On Alogon
Alogon (Greek) Used by Pythagoras and Plato for the irrational soul in man, divided into the thymichon and epithymichon; the rational ...   » Read the article

Dictionary - Pythagorian Numerology: Alternative Health Dictionary On Pythagorian Numerology
Pythagorian numerology: System of numerology originated by the Greek philosopher and mathematician Pythagoras; the Western form of num...   » Read the article

Encyclopedia - Mathematical Beauty: Encyclopedia Ii - Mathematical Beauty - Beauty And Mysticism
Some mathematicians express beliefs about mathematics that are close to mysticism. Pythagoras (and his entire philosophical school of the...   » Read the article

Dictionary - Deus Emnim Et Circulus Est: Spiritual - Theosophy Dictionary On Deus Emnim Et Circulus Est
Deus Emnim et Circulus Est (Latin) "For God is indeed a circle"; a Hermetic axiom ascribed to Pherecydes, a Greek philosophe...   » Read the article

Encyclopedia - Zalmoxis: Encyclopedia Ii - Zalmoxis - Etymology
A number of etymologies have been given for the name. Diogenes Laertius (3rd century-4th century ad) claimed that Zalmoxis meant "bear sk...   » Read the article

Encyclopedia - Pentagram: Encyclopedia Ii - Pentagram - Geometry
A regular pentagram is the {5/2} star polygon. It is most easily drawn by drawing a regular pentagon, joining the corners with lines and ...   » Read the article

Dictionary - Agnoia: Spiritual Theosophical Dictionary On Agnoia
Agnoia (Ancient Greek). "Divested of reason", lit., "irrationality", when speaking of the animal Soul. According t...   » Read the article

Encyclopedia - History Of Geodesy: Encyclopedia Ii - History Of Geodesy - Classical Greece
The early Greeks, in their speculation and theorizing, ranged from the flat disc advocated by Homer to Pythagoras spherical figure-an ide...   » Read the article

Encyclopedia - Pentagram: Encyclopedia Ii - Pentagram - Christian Use
According to Heather Child's Christian Symbols, Ancient and Modern (ISBN 0713519606), the pentagram is a symbol of the five senses. Also,...   » Read the article

Dictionary - Ten Pythagorean Virtues: Spiritual Theosophical Dictionary On Ten Pythagorean Virtues
Ten Pythagorean Virtues. Virtues of Initiation, &c., necessary before admission. (See " Pythagoras ".) They are identic...   » Read the article

Encyclopedia - Pentagram: Encyclopedia Ii - Pentagram - Neopagan Use
Many Neopagans, especially Wiccans, use the pentagram as a symbol of faith similar to the Christian cross or the Jewish Star of David. (I...   » Read the article

Dictionary - Curetes: Spiritual Theosophical Dictionary On Curetes
Curetes. The Priest-Initiates of ancient Crete, in the service of Cybele. Initiation in their temples was very severe ; it lasted twen...   » Read the article

Dictionary - Timaeus: Spiritual - Theosophy Dictionary On Timaeus
Timaeus (Greek) A dialogue of Plato in which the Pythagorean philosopher Timaeus gives an account of aspects of cosmogenesis and anthr...   » Read the article

Encyclopedia - Pentagram: Encyclopedia Ii - Pentagram - Flags
The pentagram appears on coats of arms and on two national flags (those of Ethiopia and Morocco). See gallery of flags by design. More co...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - History
The earliest systematic study of trigonometric functions and tabulation of their values was performed by Hipparchus of Nicaea (180-125 BC...   » Read the article

Dictionary - Empedocles: Mysticism Magick Dictionary On Empedocles
EMPEDOCLES (5th Century BC, of Acraga). The last of the Presocratic Shamans, whose company included Parmenides, Zeno, Xenophanes, Hera...   » Read the article

Encyclopedia - Pentagram: Encyclopedia Ii - Pentagram - In Literature
In the medieval romance of Sir Gawain and the Green Knight, it was on Gawain's shield along with a Madonna. The pentagram was said to be ...   » Read the article

Dictionary - Living Dead: Spiritual - Theosophy Dictionary On Living Dead
Living Dead "Soulless" persons rather than lost souls; a term originating with Pythagoras. The numerous class of people who ...   » Read the article

Dictionary - En: Spiritual - Theosophy Dictionary On En
En (Greek) (from en, eis one; cf Latin unum)   With Pythagoras and Empedocles, it corresponds to the yliaster (primordial matter ...   » Read the article

Encyclopedia - Western Philosophy: Encyclopedia Ii - Western Philosophy - Origins
The introduction of the terms "philosopher" and "philosophy" has been ascribed to the Greek thinker Pythagoras (see Diogenes Laertius: "D...   » Read the article

Encyclopedia - Pythagorean Theorem: Encyclopedia Ii - Pythagorean Theorem - Proofs
This theorem may have a greater variety of known proofs than any other (the law of quadratic reciprocity being also a contender for that ...   » Read the article

Encyclopedia - Pythagorean Theorem: Encyclopedia Ii - Pythagorean Theorem - Pythagorean Triples
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. In other words, a Pytha...   » Read the article

Encyclopedia - Pythagorean Theorem: Encyclopedia Ii - Pythagorean Theorem - The Pythagorean Theorem In Non-euclidean Geometry
The Pythagorean theorem is derived from the axioms of Euclidean geometry, and in fact, the Euclidean form of the Pythagorean theorem give...   » Read the article

Encyclopedia - Magnitude Mathematics: Encyclopedia Ii - Magnitude Mathematics - Complex Numbers
Similarly, the magnitude of a complex number, called the modulus, gives the distance from zero in the Argand diagram. The formula for the...   » Read the article

Encyclopedia - Pythagorean Theorem: Encyclopedia Ii - Pythagorean Theorem - Other Facts
In heraldry, the Pythagorean theorem appears as a charge in the arms of Seissenegger. The theorem is referenced in an episode of The Simp...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Series Definitions
Please note: Here, and generally in calculus, all angles are measured in radians. (See also below). Using only geometry and properties of...   » Read the article

Dictionary - Pythagoreans: Spiritual - Theosophy Dictionary On Pythagoreans
Pythagoreans The school founded at Crotona, Italy in the 6th century BC by Pythagoras of Samos. Pythagoras was an initiate not only in...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Definitions Via Differential Equations
Both the sine and cosine functions satisfy the differential equation i.e. each is the additive inverse of its own second derivative. W...   » Read the article

Encyclopedia - Irrational Number: Encyclopedia Ii - Irrational Number - History
The earliest known use of irrational numbers was in the Indian Sulba Sutras composed between 800-500 BC. The first proof of irrational nu...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Other Definitions
Theorem: There exists exactly one pair of real functions s, c with the following properties: For any : ... See also:Trigono...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - History
The earliest systematic study of trigonometric functions and tabulation of their values was performed by Hipparchus of Nicaea (180-125 BC...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Computation
The computation of trigonometric functions is a complicated subject, which can today be avoided by most people because of the widespread ...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Inverse Functions
The trigonometric functions are periodic, so we must restrict their domains before we are able to define a unique inverse. In the followi...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Properties And Applications
The trigonometric functions, as the name suggests, are of crucial importance in trigonometry, mainly because of the following two results...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - List Of Trigonometric Functions
A few other functions were common historically (and appeared in the earliest tables), but are now little-used, such as: versed sine (ver...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Right Triangle Definitions
In order to define the trigonometric functions for the angle A, start with an arbitrary right triangle that contains the angle A: We use ...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Unit-circle Definitions
The six trigonometric functions can also be defined in terms of the unit circle, the circle of radius one centered at the origin. The uni...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Series Definitions
Please note: Here, and generally in calculus, all angles are measured in radians. (See also below). Using only geometry and properties of...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Definitions Via Differential Equations
Both the sine and cosine functions satisfy the differential equation i.e. each is the additive inverse of its own second derivative. W...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Other Definitions
Theorem: There exists exactly one pair of real functions s, c with the following properties: For any : ... See also:Trigono...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Computation
The computation of trigonometric functions is a complicated subject, which can today be avoided by most people because of the widespread ...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Inverse Functions
The trigonometric functions are periodic, so we must restrict their domains before we are able to define a unique inverse. In the followi...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Properties And Applications
The trigonometric functions, as the name suggests, are of crucial importance in trigonometry, mainly because of the following two results...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Right Triangle Definitions
In order to define the trigonometric functions for the angle A, start with an arbitrary right triangle that contains the angle A: We use ...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Unit-circle Definitions
The six trigonometric functions can also be defined in terms of the unit circle, the circle of radius one centered at the origin. The uni...   » Read the article

Encyclopedia - Hesperus: Encyclopedia Ii - Hesperus - Variant Names
Hesperus is the personification of the evening star, the planet Venus. His name is sometimes conflated with the names Eosphorus (Εώσφ...   » Read the article

Encyclopedia - Cycle Studies: Encyclopedia Ii - Cycle Studies - History
Early studies of cycles are found in Vedic, Buddhist and Christian sacred books. Pythagoras' study of music and Ptolemy's motion of the p...   » Read the article

Dictionary - Unlucky Numbers: Spiritual - Theosophy Dictionary On Unlucky Numbers
Unlucky Numbers Even numbers, and preeminently the binary, have been regarded by Pythagoras, Gnostics, and others as pertaining to mat...   » Read the article

Dictionary - Tetrad: Spiritual - Theosophy Dictionary On Tetrad
Tetrad [from Greek tetras four]   The number four; a collection of four. "The Tetrad is esteemed in the Kabala, as it was by...   » Read the article

Encyclopedia - Greek Mathematics: Encyclopedia Ii - Greek Mathematics - Origins
Greek mathematics has origins that are presumed to go back to the 7th century BC, but are not easily documented. It is generally believed...   » Read the article

Dictionary - Numerology, Numeromancy: Magickal Traditions Dictionary On Numerology, Numeromancy
NUMEROLOGY, NUMEROMANCY: The system of magick and divination developed by Pythagoras. In numerology, all words, names and numbers may ...   » Read the article

Dictionary - Enneagram: Alternative Health Dictionary Iii On Enneagram
Enneagram an ancient system of spiritual psychology used for centuries to understand the development of the soul. Although the familia...   » Read the article

Dictionary - Sol: Spiritual - Theosophy Dictionary On Sol
Sol (Latin) Sun; it is said that the Latin solus (the only) was used of the One Good, and that this word afterwards became sol, the su...   » Read the article

Dictionary - Arithmancy: Parapsychology Dictionary On Arithmancy
Arithmancy: Alternatively 'Arithmomancy' and 'Arithomancy'. The term comes from the Greek 'arithmos' (number) and 'manteia' (divinati...   » Read the article

Dictionary - Empedocles: Spiritual - Theosophy Dictionary On Empedocles
Empedocles (c 490-430 BC) Greek philosopher and poet, whose system was based on the interaction of the four elements (fire, air, earth...   » Read the article

Encyclopedia - Square Root Of 2: Encyclopedia Ii - Square Root Of 2 - History
The first approximation of this number was given in ancient Indian mathematical texts, the Sulbasutras (800 B.C. to 200 B.C.) as follows:...   » Read the article

Encyclopedia - Quantum: Encyclopedia Ii - Quantum - Quantization In Antiquity
In a sense, it can be said that the quantization idea is very old. A string under tension, and fixed at both ends, will vibrate at certai...   » Read the article

Encyclopedia - Enneagram: Encyclopedia Ii - Enneagram - Historical Development
It is sometimes speculated that forms of the Enneagram typology can be found in ancient sources, especially within the Sufi spiritual tra...   » Read the article

Encyclopedia - Figurate Number: Encyclopedia Ii - Figurate Number - Gnomon
Figurate numbers were a concern of Pythagorean geometry, since Pythagoras is credited with initiating them, and the notion that these num...   » Read the article

Encyclopedia - Pythagorean Triple: Encyclopedia Ii - Pythagorean Triple - A Special Case: The Platonic Sequence
The case n = 1 of the above has been known for a long time. Proclus, in his commentary to the 47th Proposition of the first book of Eucli...   » Read the article

Dictionary - Tetraktys: Spiritual - Theosophy Dictionary On Tetraktys
Tetraktys (Greek) The number four or a group of four, a tetrad or quaternary. The Tetraktys of Pythagoras, as an emblem, consisted of ...   » Read the article

Encyclopedia - Ellipse: Encyclopedia Ii - Ellipse - Parametrisation
The size of an ellipse is determined by two constants, conventionally denoted a and b. The constant a equals the length of the semimajor ...   » Read the article