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See also:YNVOLUTION (See also:Lat. involvere, to See also:roll up) , a See also:rolling up or complication. In See also:arithmetic, involution is the operation of raising a quantity to any See also:power; it is the converse of See also:evolution, which is the operation of extracting any See also:root of a quantity (see ARITHMETIC; See also:ALGEBRA). In See also:geometry, an involution is a one-to-one See also:correspondence between two ranges of points or between two pencils (see GEOMETRY: Projective). The " involute " of a See also:curve may he regarded as the See also:locus of the extremity of a See also:string when it is unwrapped from the curve
(see INFINITESIMAL CALCULUS).
I0, in See also:Greek See also:mythology, daughter of Inachus, the See also:river-See also:god of See also:Argos and its first See also:- KING
- KING (O. Eng. cyning, abbreviated into cyng, cing; cf. O. H. G. chun- kuning, chun- kunig, M.H.G. kiinic, kiinec, kiinc, Mod. Ger. Konig, O. Norse konungr, kongr, Swed. konung, kung)
- KING [OF OCKHAM], PETER KING, 1ST BARON (1669-1734)
- KING, CHARLES WILLIAM (1818-1888)
- KING, CLARENCE (1842–1901)
- KING, EDWARD (1612–1637)
- KING, EDWARD (1829–1910)
- KING, HENRY (1591-1669)
- KING, RUFUS (1755–1827)
- KING, THOMAS (1730–1805)
- KING, WILLIAM (1650-1729)
- KING, WILLIAM (1663–1712)
king. As associated with the See also:oldest See also:worship of See also:Hera she is called the daughter of Peiren, who made the first See also:image of that goddess out of a See also:pear-See also:- TREE (0. Eng. treo, treow, cf. Dan. tree, Swed. Odd, tree, trd, timber; allied forms are found in Russ. drevo, Gr. opus, oak, and 36pv, spear, Welsh derw, Irish darog, oak, and Skr. dare, wood)
- TREE, SIR HERBERT BEERBOHM (1853- )
tree at See also:Tiryns; and under the name of Callithyia Io was regarded as the first priestess of Hera. See also:Zeus See also:fell in love with her, and, to protect her from the wrath of Hera, changed her into a See also:- WHITE
- WHITE, ANDREW DICKSON (1832– )
- WHITE, GILBERT (1720–1793)
- WHITE, HENRY KIRKE (1785-1806)
- WHITE, HUGH LAWSON (1773-1840)
- WHITE, JOSEPH BLANCO (1775-1841)
- WHITE, RICHARD GRANT (1822-1885)
- WHITE, ROBERT (1645-1704)
- WHITE, SIR GEORGE STUART (1835– )
- WHITE, SIR THOMAS (1492-1567)
- WHITE, SIR WILLIAM ARTHUR (1824--1891)
- WHITE, SIR WILLIAM HENRY (1845– )
- WHITE, THOMAS (1628-1698)
- WHITE, THOMAS (c. 1550-1624)
white See also:heifer (See also:Apollodorus ii. 1; See also:Hyginus, Fab. 145; See also:Ovid, Metam. i. 568—733); according to See also:Aeschylus (Supplices, 299) the See also:metamorphosis was the See also:work of Hera herself. Hera, having persuaded Zeus to give her the heifer, set See also:Argus Panoptes to See also:watch her. Zeus thereupon sent See also:Hermes, who lulled Argus to See also:sleep and cut off his See also:head with the See also:sword with which See also:Perseus afterwards slew the See also:Gorgon. In another See also:account Argus is killed by a See also:- STONE
- STONE (0. Eng. shin; the word is common to Teutonic languages, cf. Ger. Stein, Du. steen, Dan. and Swed. sten; the root is also seen in Gr. aria, pebble)
- STONE, CHARLES POMEROY (1824-1887)
- STONE, EDWARD JAMES (1831-1897)
- STONE, FRANK (1800-1859)
- STONE, GEORGE (1708—1764)
- STONE, LUCY [BLACKWELL] (1818-1893)
- STONE, MARCUS (184o— )
- STONE, NICHOLAS (1586-1647)
stone thrown by Hermes. But the wrath of Hera still pursued Io. Maddened by a gadfly, sent by the goddess she wandered all over the See also:earth, swam the strait known on this account as the See also:Bosporus (Ox-See also:ford), and crossed the Ionian See also:sea (traditionally called after her) until at last she reached See also:Egypt, where she was restored to her See also:original See also:form and became the See also:mother of Epaphus. Accounts of her wanderings (differing considerably in detail) are given in the Sup plices and See also:Prometheus Vinctus of Aeschylus. Various interpretations are given of the latter See also:part of her See also:story, which See also:dates from the 7th See also:century B.C., when intercourse was frequent between See also:Greece and Egypt, and when much See also:influence was
exerted on Greek thought by See also:Egyptian See also:religion. According to the rationalistic explanation of See also:Herodotus (i. 1) Io was an Argive princess who was carried off to Egypt by the Phoenicians. Epaphus, the son of lo, the supposed founder of See also:Memphis, was identified with See also:Apis. He was said to have been carried off by See also:- ORDER
- ORDER (through Fr. ordre, for earlier ordene, from Lat. ordo, ordinis, rank, service, arrangement; the ultimate source is generally taken to be the root seen in Lat. oriri, rise, arise, begin; cf. " origin ")
- ORDER, HOLY
order of Hera to Byblus in See also:Syria, where he was found again by Io. On returning to Egypt, Io, afterwards identified with See also:Isis, married Telegonus and founded the royal families of Egypt, See also:Phoenicia, Argos and See also:Thebes. The See also:journey to Syria in See also:search of Epaphus was invented to explain the fact that the Phoenician goddess See also:Astarte, who was sometimes represented as horned, was confounded with lo.
Io herself is variously interpreted. She is usually understood to be the See also:- MOON (a common Teutonic word, cf. Ger. Mond, Du. maan, Dan. maane, &c., and cognate with such Indo-Germanic forms as Gr. µlip, Sans. ma's, Irish mi, &c.; Lat. uses luna, i.e. lucna, the shining one, lucere, to shine, for the moon, but preserves the word i
- MOON, SIR RICHARD, 1ST BARONET (1814-1899)
moon in the midst of the mighty See also:heaven, studded with stars, represented by Argus. According to others, she is the See also:annual rising of the See also:Nile; the personification of the Ionian See also:race; the mist; the earth. It seems probable that she was a duplicate of Hera (lo 0obKepws is Hera /3o&nrts), or a deity in See also:primitive times worshipped under the See also:symbol of a cow, whose worship was superseded by that of Hera; the recollection of this See also:early identity would account for Io being regarded as the priestess of the goddess in later times. Amongst the See also:Romans she was sometimes identified with See also:Anna Perenna. The See also:legend of Io spread beyond Argos, especially in See also:Byzantium and See also:Euboea, where it was associated with the See also:town of Argura. It was a favourite subject among Greek painters, and many representations of it are preserved on vases and See also:wall paintings; Io herself appears as a horned See also:maiden or as the heifer watched by Argus.
See R. Engelmann, De lone (1868), with notes containing references to authorities, and his See also:article in See also:Roscher's Lexikon der Mythologie; J. See also:Overbeck, De lone, lelluris, non See also:lunge, Dea (1872); P. W. See also:Forchhammer, See also:Die Wanderungen der Inachostochter lo (1881), with See also:map and See also:special reference to Aeschylus's account of lo's wanderings; F. Durrbach in Daremberg and Saglio's Dictionnaire See also:des antiquites ; G. Mellen, De lus fabula (1901) ; Wernicke s.v. " Argos " in Pauly-Wissowa's Realencyclopadie, ii. pt. i. (1896) ; J. E. See also:Harrison in Classical See also:Review (1893, p. 76); See also:Bacchylides xviii. (xix.), with See also:Jebb's notes.
End of Article: YNVOLUTION (Lat. involvere, to roll up)
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