ACHILLES (a-kil'[=e]z), a Greek legendary hero, the chief character in

Homer's _Iliad_. His father was Peleus, ruler of Phthia in Thessaly, his

mother the sea-goddess Thetis. When only six years of age he was able to

overcome lions and bears. His guardian, Cheiron the Centaur, having

declared that Troy could not be taken without his aid, his mother, fearing

for his safety, disguised him as a girl, and introduced him among the

daughters of Lycomedes of Scyros. Her desire for his safety made her also

try to make him invulnerable when a child by anointing him with ambrosia,

and again by dipping him in the River Styx, from which he came out proof

against wounds, all but the heel, by which she held him. His place of

concealment was discovered by Odysseus (Ulysses), and he promised his

assistance to the Greeks against Troy. Accompanied by his close friend,

Patroclus, he joined the expedition with a body of followers (Myrmidons) in

fifty ships, and occupied nine years in raids upon the towns neighbouring

to Troy, after which the siege proper commenced. On being deprived of his

prize, the maiden Briseis, by Agamemnon, he refused to take any further

part in the war, and disaster attended the Greeks. Patroclus now persuaded

Achilles to allow him to lead the Myrmidons to battle dressed in his

armour, and he having been slain by Hector, Achilles vowed revenge on the

Trojans, and forgot his anger against the Greeks. He attacked the Trojans

and drove them back to their walls, slaying them in great numbers, chased

Hector, who fled before him three times round the walls of Troy, slew him,

and dragged his body at his chariot-wheels, but afterwards gave it up to

Priam, who came in person to beg for it. He then performed the funeral

rites of Patroclus, with which the _Iliad_ closes. He was killed in a

battle at the Scaean Gate of Troy by an arrow from the bow of Paris which

struck his vulnerable heel. In discussions on the origin of the Homeric

poems the term _Achilleid_ is often applied to those books (i, viii, and

xi-xxii) of the _Iliad_ in which Achilles is prominent, and which some

suppose to have formed the original nucleus of the poem. See _Iphigenia_.

ACHILLES' TENDON, or TENDON OF ACHILLES, the strong tendon which connects

the muscles of the calf with the heel, and which may be easily felt with

the hand. The origin of the name will be understood from the above article.

ACHILLES TATIUS (a-kil'[=e]z t[=a]'shi-us), a Greek romance writer of the

fifth century A.D., belonging to Alexandria; wrote a love story in 8 books

called _Leucipp[=e] and Cleitophon_.

ACHIMENES (a-kim'e-n[=e]z), a genus of tropical American plants, with scaly

underground tubers, nat. ord. Gesneraceae, now cultivated in European

greenhouses on account of their white, blue, and red flowers.

ACHLAMYDEOUS (ak-la-mid'i-us), in botany, wanting the floral envelopes,

that is, having neither calyx nor corolla, as the willow.

ACHOR ([=a]'kor), a disease of infants, in which the head, the face, and

often the neck and breast become incrusted with thin, yellowish or greenish

scabs, arising from minute, whitish pustules, which discharge a viscid

fluid.

ACHROMAT'IC (Gr. _a_, priv., and _chr[=o]ma, chr[=o]matos_, colour), in

optics, transmitting colourless light, that is, not decomposed into the

primary colours, though having passed through a refracting medium. A single

convex lens does not give an image free from the prismatic colours, because

the rays of different colour making up white light are not equally

refrangible, and thus do not all come to a focus together, the violet, for

instance, being nearest the lens, the red farthest off. If such a lens of

crown-glass, however, is combined with a concave lens of flint-glass--the

curvatures of both being properly adjusted--as the two materials have

somewhat different optical properties, the latter will neutralize the

chromatic aberration of the former, and a satisfactory image will be

produced. Telescopes, microscopes, &c., in which the glasses are thus

composed are called _achromatic_.

ACID (Lat. _acidus_, sour), a name applied to a number of compounds, having

more or less the qualities of vinegar (itself a diluted form of acetic

acid). Their general properties are sour taste, the power of changing

vegetable blues into reds, of evolving hydrogen in presence of magnesium,

of decomposing chalk with effervescence, and of being in various degrees

neutralized by alkalies. An acid has been defined as a compound of

hydrogen, the whole or a part of which is replaceable by a metal when this

is presented in the form of a hydroxide; being _monobasic_, _dibasic_, or

_tribasic_, according to the number of replaceable hydrogen atoms in a

molecule. See _Chemistry_.

ACIERAGE ([=a]'s[=e]-[.e]r-[=a]j), (Fr. _acier_, steel), a process by which

an engraved copper-plate or an electrotype from an engraved plate of steel

or copper has a film of iron deposited over its surface by electricity in

order to protect the engraving from wear in printing. By this means an

electrotype of a fine engraving, which, if printed directly from the

copper, would not yield 500 good impressions, can be made to yield 3000 or

more; and when the film of iron becomes so worn as to reveal any part of

the copper, it may be removed and a fresh coating deposited so that 20,000

good impressions may be got.

ACIPENSER (as-i-pen's[.e]r), the genus of cartilaginous ganoid fishes to

which the sturgeon belongs.

ACI REALE ([:a]'ch[=e] r[=a]-[:a]'l[=a]), a seaport of Sicily, north-east

of Catania, a well-built town, with a trade in corn, wine, fruit, &c. Pop.

35,587.

A'CIS, according to Ovid, a beautiful shepherd of Sicily, loved by Galatea,

and crushed to death by his rival the Cyclops Polyphemus. His blood,

flowing from beneath the rock which crushed him, was changed into a river

bearing his name, and renowned for the coldness of its water. It has been

identified as the Fiume di Jaci.

ACLIN'IC LINE (Gr. priv. _a, klin[=o]_, to incline), the magnetic equator,

an irregular curve in the neighbourhood of the terrestrial equator, where

the magnetic needle balances itself horizontally, having no dip. See

_Magnetism_.

ACNE (ak'n[=e]), a skin disease, consisting of small hard pimples, usually

on the face, caused by congestion of the follicles of the skin.

[Illustration: Acolyte]

ACOLYTES (ak'o-l[=i]ts), in the ancient Latin and Greek Churches, persons

of ecclesiastical rank next in order below the subdeacons, whose office it

was to attend the officiating priest. The name is still retained in the

Roman Church. Cf. Duchesne, _Christian Worship, its Origin and Evolution_.

ACONCAGUA ([.a]-kon-k[:a]'gw[.a]), a province, a river, and a mountain of

Chile. The peak of Aconcagua, whose summit is just within the Argentine

Republic, rises to the height of 23,080 feet, and is probably the highest

mountain of the western hemisphere. Area of province, 5406 sq. miles. Pop.

(1919), 132,165.

AC'ONITE (_Acon[=i]tum_), a genus of hardy herbaceous plants, nat. ord.

Ranunculaceae, represented by the well-known wolf's-bane or monk's-hood,

and remarkable for their poisonous properties and medicinal qualities,

being used internally as well as externally in rheumatism, gout, neuralgia,

&c.

ACON'ITINE, an alkaloid extracted from monk's-hood and some other species

of aconite; used medicinally, though a virulent poison.

ACONQUIJA ([.a]-kon-k[=e]'_h_[.a]), a range of mountains in the Argentine

Republic; the name also of a single peak, 17,000 feet high.

A'CORN, the fruit of the different kinds of oak. The acorn-cups of one

species are brought from the Levant under the name of _valonia_, and used

in tanning.

ACORN-SHELL. See _Balanus_.

AC'ORUS, a genus of plants, including the sweet-flag. See _Sweet-flag_ and

_Calamus_.

ACOS'TA, Gabriel, afterwards Uriel, a Portuguese of Jewish descent, born at

Oporto in 1590, died by his own hand 1640. Brought up a Christian, he

afterwards embraced Judaism. Having gone to Amsterdam, where he attacked

the practices of the Jews, and denied the divine mission of Moses, he

suffered much persecution at the hands of the Jews. He left an

autobiography, published in 1687, under the title _Exemplar Humanae Vitae_.

He is the hero of a novel, _Die Sadducaeer von Amsterdam_, and of a

tragedy, _Uriel Acosta_, both by Gutzkow.

ACOTYLE'DONS, plants not furnished with cotyledons or seed-lobes. They

include ferns, mosses, seaweeds, &c., and are also called flowerless plants

or cryptogams.

ACOUSIMETER, or ACOUMETER (Gr. _akouein_, to hear, and _metron_, measure),

an instrument used to determine the acuteness of hearing. It consists of a

small bar which gives a uniform sound when struck by a hammer.

ACOUSTICS (a-kou'stiks), the science of sound. It deals with the production

of sound, its propagation and velocity in various media; the reflection,

refraction, and interference of sound waves; the properties of musical

notes; and the general phenomena of such vibrations of elastic bodies as

affect the organ of hearing.

In order that a sound may be heard, it is necessary that an uninterrupted

series of particles of elastic matter should extend from the sounding body

to our ear. Sound is propagated by a longitudinal wave-motion in the medium

(gaseous, liquid, or solid), that is, the particles oscillate along the

line in which the wave is travelling, giving rise to regular series of

condensations and rarefactions.

The velocity of sound varies directly as the square root of the elasticity,

and inversely as the square root of the density, of the medium in which it

is propagated. The velocity of sound in air at 0deg C. is 330.6 metres per

second, or 1085 feet per second; in water 1.49 kilometres per second, or

0.926 mile per second; in copper 5.01 kilometres per second, or 3.12 miles

per second.

The intensity of sound varies inversely as the square of the distance from

the sounding body. Recently sound-ranging instruments have been produced by

means of which the position of a gun can be determined.

A note produced by a musical instrument consists of a _fundamental_ of a

certain frequency, together with a number of _overtones_ of various higher

frequencies and much smaller amplitude. The _timbre_ of a note depends on

the overtones present, the _loudness_ depends on the amplitude of the

vibrations, and the _pitch_ depends on the frequency. The musical scale

consists of eight notes, C D E F G A B C, whose frequencies are in the

proportion of the numbers 24, 27, 30, 32, 36, 40, 45 and 48. The interval

between two notes is the ratio of the frequency of the higher note to the

frequency of the lower note. In order that the intervals may be the same in

all keys, a tempered scale is used in music. (See Table, p. 25.)

BIBLIOGRAPHY: Lord Rayleigh, _Theory of Sound_; H. Smith, _The Making of

Sound in the Organ and Orchestra_; J. W. Capstick, _Sound_ (Cambridge

Natural Science Manuals); E. H. Barton, _Text-book of Sound_.

ACQUI ([.a]k'w[=e]), a town of Northern Italy, 18 miles S.S.W. of

Alessandria, a bishop's see. It has warm sulphurous baths, which were known

to the Romans, and which still attract a great many visitors. Pop. 16,500.

ACRE, a standard British measure of land, also used in the colonies and the

United States. The imperial statute acre consists of 4840 sq. yards,

divided into 4 roods. The old Scotch acre contains 6146.8 sq. yards, the

old Irish acre 7840 sq. yards.

ACRE ([=a]'k[.e]r) (ancient ACCHO and PTOLEMAIS), a seaport of Syria, in

Northern Palestine, on the Bay of Acre, early a place of great strength and

importance. Taken from the Saracens under Saladin in 1191 by Richard I of

England and Philip of France; bravely defended by the Turks, assisted by

Sir Sidney Smith, in 1799 against Napoleon; in 1832, taken by Ibrahim

Pasha; in 1840, bombarded by a British, Austrian, and Turkish fleet, and

restored to the Sultan of Turkey. The town was occupied by British troops

under General Allenby in September, 1918. Pop. 10,000.

* * * * *

MUSICAL INTERVALS.--See _Acoustics_

Intervals in Intervals in

Perfect Diatonic Diatonic Scale. Tempered Scale--

Scale. Perfect on System of Mean tone.

Diatonic Scale Equal (2^{1/6} = 1.123).

Temperament. Semitone.

(2^{1/12}= 1.059).

---------------------------------------------------------------------

C 1 1.000

9/8 major tone tone.

D 9/8 = 1.125 2-2/12 = 1.123

10/9 minor tone tone.

E 5/4 = 1.250 2-4/12 = 1.260

16/15 limma semitone.

F 4/3 = 1.333 2-5/12 = 1.335

9/8 major tone tone.

G 3/2 = 1.500 2-7/12 = 1.498

10/9 minor tone tone.

A 5/3 = 1.667 2-9/12 = 1.682

9/8 minor tone tone.

B 15/8 = 1.875 2-11/12 = 1.888

16/15 limma semitone.

C' 2 2.000

Major tone ratio = 9/8 = 1.125 Limma tone ratio = 16/15 = 1.067

Minor " " = 10/9 = 1.111 Semitone " = 2^{1/12} = 1.059

Mean " " = 2^{2/12} = 1.123

NOTES OF PERFECT DIATONIC SCALE (WITH THEIR FREQUENCIES)

C,, 64. Ut_1 C, 128. Ut_2 C 256. Ut_3 C' 512. Ut_4

D,, 72 D, 144 D 288 D' 576

E,, 80 E, 160 E 320 E' 640

F,, 85.3 F, 170.7 F 341.3 F' 682.7

G,, 96 G, 192 G 384 G' 768

A,, 106.6 A, 213.3 A 426.7 A' 853.2

B,, 120 B, 240 B 480 B' 960

C'' 1024. Ut_5

PERFECT DIATONIC SCALES (TRANSITION TO KEY OF DOMINANT)

_Example_--Key of C to Key of G

C D E F G A B C' D' E' F' G'

1 9/8 5/4 4/3 3/2 5/3 15/8 2 9/4 5/2 8/3 3

G A` B C' D' E' F'# G'

1 9/8 5/4 4/3 3/2 5/3 15/8 2

A = 10/9 G. F' = 16/9 G.

A`= 9/8 G. F'# = 15/8 G.

A`= 81/80 A. = 15/8 X 9/16 F'.

= (1 + 1/18{2/7}) F'.

* * * * *

ACRI ([=a]'kr[=e]), a town of S. Italy, province of Cosenza. Pop. 4000.

AC'RITA (Gr. _akritos_, undistinguishable, doubtful), a name sometimes

given to the animals otherwise called Protozoa.

ACROCEPH'ALI, tribes of men distinguished by pyramidal or high skulls.

ACROCERAU'NIA (thunder-smitten peaks) (now CAPE GLOSSA or LINGUETTA), a

promontory of Western Greece, in Epirus, running into the Adriatic.

ACROCORIN'THUS, a steep rock in Greece, nearly 1900 feet high, overhanging

ancient Corinth, and on which stood the acropolis or citadel, the sacred

fountain of Pir[=e]n[=e] being also here. This natural fortress has proved

itself of importance in the modern history of Greece.

AC'ROGENS (-jenz), lit. summit-growers, a term applied to the ferns,

mosses, and lichens (cryptogams), as growing by extension upwards, in

contradistinction to endogens and exogens.

AC'ROLITH, an early form of Greek statuary in which the head, hands, and

feet only were of stone, the trunk of the figure being of wood draped or

gilded.

ACROP'OLIS (Gr. _akros_, high, and _polis_, a city), the citadel or chief

place of a Grecian city, usually on an eminence commanding the town. That

of Athens contained some of the finest buildings in the world, such as the

Parthenon, Erechth[=e]um, &c.

ACROS'TIC, a poem of which the first or last, or certain other, letters of

the line, taken in order, form some name, motto, or sentence. A poem of

which both first and last letters are thus arranged is called a double

acrostic. In Hebrew poetry, the term is given to a poem of which the

initial letters of the lines or stanzas were made to run over the letters

of the alphabet in their order, as in _Psalm_ cxix.--Acrostics have been

much used in complimentary verses, the initial letters giving the name of

the person eulogized. They were very popular among French poets of the

sixteenth and seventeenth centuries. In modern times Edgar Allen Poe has

written quite remarkable acrostic verses.

ACT, in special senses: (1) In dramatic poetry, one of the principal

divisions of a drama, in which a definite and coherent portion of the plot

is represented; generally subdivided into smaller portions called _scenes_.

The Greek dramas were not divided into acts. The dictum that a drama should

consist of five acts was first formally laid down by Horace, and is

generally adhered to by modern dramatists in tragedy. In comedy, especially

since the time of Moliere, more freedom is allowed, and a division into two

or three acts is common.--(2) Something formally done by a legislative or

judicial body; a statute or law passed.--(3) In universities, a thesis

maintained in public by a candidate for a degree. See _Act of God_, _of

Parliament_, _of Settlement_.

ACTA DIUR'NA (Lat., proceedings of the day), a daily Roman newspaper which

appeared under both the republic and the empire.

ACTAE'A. See _Baneberry_.

ACTAE'ON, in Greek mythology, a great hunter, turned into a stag by

Art[)e]mis (Diana) for looking on her when she was bathing, and torn to

pieces by his own dogs.

ACTA ERUDITO'RUM (Lat., acts of the learned), the first literary journal

that appeared in Germany (1682-1782). It was started by Otto Mencke, after

the model of the _Journal des Savants_. Among the contributors, the most

distinguished was Leibnitz.

ACTA SANCTORUM (Lat., acts of the saints), a name applied to all

collections of accounts of ancient martyrs and saints, both of the Greek

and Roman Churches, more particularly to the valuable collection begun by

John Bolland, a Jesuit of Antwerp, in 1643, and which, being continued by

other divines of the same order (_Bollandists_), now extends to sixty

volumes, the lives following each other in the order of the calendar.

ACTIN'IA, the genus of animals to which the typical sea-anemones belong.

See _Sea-anemone_.

AC'TINISM, the property of those rays of light which produce chemical

changes, as in photography, in contradistinction to the light rays and heat

rays. The actinic property or force begins among the green rays, is

strongest in the violet rays, and extends a long way beyond the visible

spectrum.

ACTINIUM, an element or elementary substance obtained in minute quantities

in connection with the study of radioactivity. It was discovered by

Debierne in 1899. In 1902 Giesel discovered another substance which he

called _emanium_, and which was considered to be identical with _actinium_.

Marckwald, however, came to the conclusion that these two substances are

not identical but closely related to each other. See _Radium_, _Chemistry_.

ACTIN'OLITE, a mineral nearly allied to hornblende.

ACTINOM'ETER, an instrument for measuring the intensity of the sun's

actinic rays. See _Actinism_.

ACTINOZO'A (lit. ray-animals), a class of animals belonging to the

sub-kingdom Coelenterata, and including sea-anemones, corals, &c., all

having rayed tentacles round the mouth.

ACTION, the mode of seeking redress at law for any wrong, injury, or

deprivation. Actions are divided into civil and criminal, the former again

being divided into real, personal, and mixed.

AC'TIUM (now LA PUNTA), a promontory on the western coast of Northern

Greece, not far from the entrance of the Ambracian Gulf (Gulf of Arta),

memorable on account of the naval victory gained here by Octavianus

(afterwards the Emperor Augustus) over Antony and Cleopatra, 2nd Sept., 31

B.C., in sight of their armies encamped on the opposite shores of the

Ambracian Gulf. Soon after the beginning of the battle Cleopatra escaped

with sixty Egyptian ships, and Antony basely followed her, and fled with

her to Egypt. The deserted fleet was not overcome without making a brave

resistance. Antony's land forces soon went over to the enemy, and the Roman

world fell to Octavianus. In 1538 a victory was gained at Actium by the

Turks over the Spanish and Venetian fleets.

ACT OF GOD, a legal term defined as "a direct, violent, sudden, and

irresistible act of nature, which could not, by any reasonable cause, have

been foreseen or resisted". No one can be legally called upon to make good

loss so arising.

ACT OF PARLIAMENT, a law or statute proceeding from the Parliament of the

United Kingdom passed in both houses, and having received the royal assent.

Before it is passed it is a _Bill_ and not an Act. Acts are either public

or private, the former affecting the whole community, the latter only

special persons and private concerns. The whole body of public Acts

constitutes the _statute law_. An Act of Parliament can only be altered or

repealed by the authority of Parliament. Acts are usually cited in this

way, "13 and 14 Vict. c. (or chap.) 21", which means the 21st Act in

succession passed in year 13th-14th of the queen's reign (that is, 1850).

Short titles, such as "the Merchant Shipping Act, 1854", are also used. Up

to the time of Edward I Acts of Parliament were in Latin; then French was

introduced, and for some time was exclusively employed. It was not till

Henry VII's reign that all Acts were in English.

ACT OF SETTLEMENT, an Act passed by the English Parliament in 1700, by

which the succession to the throne of the three kingdoms, in the event of

King William and Princess (afterwards Queen) Anne dying without issue, was

settled on the Princess Sophia, electress of Hanover, and the heirs of her

body, being Protestants. The Princess Sophia was the youngest daughter of

Elizabeth, Queen of Bohemia, daughter of James I. By this act George I, son

of the Princess Sophia, succeeded to the crown on the death of Queen

Anne.--Another Act of Settlement was that by which, under Cromwell's

government, a new allotment was made of almost all landed property in

Ireland, in 1652.

ACT OF TOLERATION, an Act of Parliament Passed in 1689, by which Protestant

dissenters from the Church of England, on condition of their taking the

oaths of supremacy and allegiance, and repudiating the doctrine of

transubstantiation, were relieved from the restrictions under which they

had formerly lain with regard to the exercise of their religion according

to their own forms.

ACT OF UNIFORMITY, an English Act passed in 1662, enjoining upon all

ministers to use the _Book of Common Prayer_ on pain of forfeiture of their

livings. See _Nonconformity_.

[Illustration: Quilted Acton of the fifteenth century]

ACTON, a kind of padded or quilted vest or tunic formerly worn under a coat

of mail to save the body from bruises, or used by itself as a defensive

garment. Jackets of leather or other material plated with mail were also so

called. _Gambeson_ was an equivalent term.

ACTON, a name of various places in England, one of them a western suburb of

London, pop. (1921), 61,314. Since 1918 Acton gives its name to a

parliamentary division of Middlesex, returning one member to Parliament.

ACTON, John Emerich Edward Dalberg, first Baron Acton, born 1834, died

1902, was son of Richard Acton (seventh baronet) and the daughter of the

Duc de Dalberg, afterwards wife of Earl Granville, Mr. Gladstone's

colleague. As a Roman Catholic he was educated at Oscott, and afterwards on

the Continent, partly under Doellinger, and acquired a special taste for

and profound knowledge of history. He conducted the _Home and Foreign

Review_ from 1862 to 1864, and, in doing so, showed himself a strong

opponent of ultramontane pretensions. He next edited the _North British

Review_, which under him was rather overweighted with learning, and soon

came to an end. In 1869 he was raised to the peerage. He strongly opposed

the papal-infallibility movement, and took the side of Mr. Gladstone in his

attacks on Vaticanism. In 1895 he accepted the professorship of modern

history at Cambridge, delivered lectures, and planned and undertook the

editorship of the great work on modern history, _The Cambridge Modern

History_, comprising a series of contributions by various scholars, and

issued by the university press. Except essays, letters, or articles for

periodicals, he himself wrote little. Since his death have been published:

_Lectures in Modern History_ (1906); _The History of Freedom and other

Essays_ (1907); _Lectures on the French Revolution_ (1910). His library of

60,000 volumes he left to Mr. (now Lord) Morley, who handed it over to the

University of Cambridge.

ACTOR, one who represents some part or character on the stage. Actresses

were unknown to the Greeks and Romans in the earliest times, men or boys

always performing the female parts. They appeared under the Roman empire,

however. Charles II first encouraged the public appearance of actresses in

England; in Shakespeare's time there were none. See _Drama_.--BIBLIOGRAPHY:

C. F. Armstrong, _Century of Great Actors_; H. Simpson, _Century of Great

Actresses_.

The New Gresham Encyclopedia. A to Amide Vol. 1 Part 1 · 第 5 / 30 段