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Varphi(n)) 2 - 1
Phi (; uppercase Φ, lowercase φ or ϕ; grc, ϕεῖ ''pheî'' ; Modern Greek: ''fi'' ) is the 21st letter of the Greek alphabet. In Archaic Greek, Archaic and Classical Greek (c. 9th century BC to 4th century BC), it represented an Aspiration (phonetics), aspirated voiceless bilabial plosive (), which was the origin of its Romanization of Greek#Ancient Greek, usual romanization as . During the later part of Classical Antiquity, in Koine Greek (c. 4th century BC to 4th century AD), its pronunciation shifted to that of a Voiceless bilabial fricative, voiceless bilabial fricative (), and by the Byzantine Greek period (c. 4th century AD to 15th century AD) it developed its modern pronunciation as a voiceless labiodental fricative (). The Romanization of Greek#Modern Greek, romanization of the Modern Greek phoneme is therefore usually . It may be that phi originated as the letter qoppa (Ϙ, ϙ), and initially represented the sound before shifting to Classical Greek . In tra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greek Phi Archaic
Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor of all known varieties of Greek. **Mycenaean Greek, most ancient attested form of the language (16th to 11th centuries BC). **Ancient Greek, forms of the language used c. 1000–330 BC. **Koine Greek, common form of Greek spoken and written during Classical antiquity. **Medieval Greek or Byzantine Language, language used between the Middle Ages and the Ottoman conquest of Constantinople. **Modern Greek, varieties spoken in the modern era (from 1453 AD). *Greek alphabet, script used to write the Greek language. *Greek Orthodox Church, several Churches of the Eastern Orthodox Church. *Ancient Greece, the ancient civilization before the end of Antiquity. * Old Greek, the language as spoken from Late Antiquity to around 1500 AD. Other uses * ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Golden Ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0, where the Greek letter phi ( or \phi) denotes the golden ratio. The constant \varphi satisfies the quadratic equation \varphi^2 = \varphi + 1 and is an irrational number with a value of The golden ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli, and also goes by several other names. Mathematicians have studied the golden ratio's properties since antiquity. It is the ratio of a regular pentagon's diagonal to its side and thus appears in the construction of the dodecahedron and icosahedron. A golden rectangle—that is, a rectangle with an aspect ratio of \varphi—may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has been used to analyze the proportions of natural o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
