AL'FRED (or AEL'FRED) THE GREAT, King of England, was born at Wantage, in

Berkshire, A.D. 849, his father being Ethelwulf, son of Egbert, King of the

West Saxons. He succeeded his brother Ethelred in 872, at a time when the

Danes, or Northmen, had extended their conquests widely over the country,

and they had completely overrun the kingdom of the West Saxons by 878.

Alfred was obliged to flee in disguise. At length he gathered a small

force, and having fortified himself on the Isle of Athelney, formed by the

confluence of the Rivers Parret and Tone, amid the marshes of Somerset, he

was able to make frequent sallies against the enemy. It was during his

abode here that he went, according to legend, disguised as a harper into

the camp of King Guthrum (or Guthorm), and, having ascertained that the

Danes felt themselves secure, hastened back to his troops, led them against

the enemy, and gained such a decided victory that fourteen days afterwards

the Danes begged for peace. This battle took place in May, 878, near

Edington, in Wiltshire. Alfred allowed the Danes who were already in the

country to remain, on condition that they gave hostages, took a solemn oath

to quit Wessex, and embraced Christianity. Their king, Guthrum, was

baptized, with thirty of his followers, and ever afterward remained

faithful to Alfred. They received that portion of the east of England now

occupied by the counties of Norfolk, Suffolk, and Cambridge, as a place of

residence. The few years of tranquillity (886-93) which followed were

employed by Alfred in rebuilding the towns that had suffered most during

the war, particularly London; in training his people in arms and no less in

agriculture; in improving the navy; in systematizing the laws and internal

administration; and in literary labours and the advancement of learning. He

caused many manuscripts to be translated from Latin, and himself translated

several works into Anglo-Saxon, such as the _Psalms_, _Aesop's Fables_,

_Boethius on the Consolation of Philosophy_, the _History of Orosius_,

_Bede's Ecclesiastical History_, &c. He also drew up several original works

in Anglo-Saxon. These peaceful labours were interrupted, about 894, by an

invasion of the Northmen, who, after a struggle of three years, were

finally driven out. Alfred died in 901. He had married, in 868, Alswith or

Ealhswith, the daughter of a Mercian nobleman, and left two sons: Edward,

who succeeded him, and Ethelwerd, who died in 922.--BIBLIOGRAPHY: Plummer,

_Life and Times of Alfred the Great_; A. Bowker, _Alfred the Great,

Chapters on his Life and Times_; B. A. Lees, _Alfred the Great_.

ALGAE (al'j[=e]), a nat. ord. of cryptogamic or thallogenous plants, found

for the most part in the sea and fresh water, or on the surface of damp

walls, rocks, the bark of trees, and in similar moist situations. They are

either some shade of bluish-green, green, brown, or red colour. The higher

forms have stems bearing leaf-like expansions, and they are often attached

to the rocks by roots, which, however, do not derive nutriment from the

rocks. A stem, however, is most frequently absent. The plants are nourished

through their whole surface by the medium in which they live. They vary in

size from the microscopic diatoms to forms whose stems resemble those of

forest trees, and whose fronds rival the leaves of the palm. They are

entirely composed of cellular tissue, and many are edible and nutritious,

as carrageen or Irish-moss, dulse, &c. Kelp, iodine, and bromine are

products of various species. The Algae are also valuable as manure. They

are often divided into five orders: Diatomaceae, Confervaceae, Fucaceae,

Ceramiaceae, and Characeae.

ALGAR'DI, Alessandro, one of the chief Italian sculptors of the seventeenth

century; born 1602, died 1654. He lived and worked chiefly at Rome;

executed the tomb of Leo XI in St. Peter's, a bronze statue of Innocent X,

and a marble relief with life-size figures over the altar of St. Leo there.

ALGARO'BA-BEAN. See _Carob Tree_.

AL'GAROT, a violently purgative and emetic white powder, precipitated from

chloride of antimony in water; it was used in medicine by the physician

Victor Algarotus in the sixteenth century.

ALGAROT'TI, Francesco, Count, born in 1712, died in 1764, an Italian writer

on science, the fine arts, &c. He lived for some years in France and for a

long time in Germany, Frederick the Great of Prussia having made him

chamberlain and count. He wrote _Neutonianismo per le donne_; _Saggi sopra

le belle arti_, his principal work on art; poems, letters, &c. Algarotti's

works published at Venice in 17 vols. (1791-4) and illustrated by Tesi and

Novelli are a _chef-d'oeuvre_ of typography. Frederick the Great erected at

Pisa a monument to his memory.

ALGARVE (al-g[.a]r'v[=a], meaning the land situated in the west), a

maritime province of Portugal occupying the southern portion of the

country, mountainous but with some fertile tracts. The title King of

Algarve was held by the Kings of Portugal. Area, 1937 sq. miles; pop.

274,122.

ALGAU ([.a]l'gou), a name for the south-western portion of Bavaria and the

adjacent parts of Wuertemberg and Tyrol, intersected by the Algau Alps. The

Algau breed of cattle is one of the best in Germany.

ALGAZZALI ([.a]l-g[.a]z-[:a]'l[=e]), Abu Hamed Mohammed, an Arabian

philosopher, Persian by birth; born 1058, died 1111. He was a most prolific

author; an opponent of the prevailing Aristotelian philosophy of the day,

and wrote against it the _Destruction of the Philosophers_, answered by

Averroes in his _Destruction of the Destruction_.

AL'GEBRA (from the Arabic _al_, definite article, and _jabbara_, to make

equal), a kind of generalized arithmetic, in which numbers or quantities

and operations, often also the results of operations, are represented by

symbols. Thus the expression xy + cz + dy^2 denotes that a number

represented by x is to be multiplied by a number represented by y, a number

c multiplied by a number z, a number d by a number y multiplied by itself

(or squared), and the sum taken of these three products. So the _equation_

(as it is called) x^2 - 7x + 12 = 0 expresses the fact that if a certain

number x is multiplied by itself, and this result made less by seven times

the number and greater by twelve, the result is 0. In this case x must

either be 3 or 4 to produce the given result; but such an equation (or

formula) as (a + b)(a - b) = a^2 - b^2 is always true whatever values may

be assigned to a and b. Algebra is an invaluable instrument in intricate

calculations of all kinds, and enables operations to be performed and

results obtained that by arithmetic would be impossible, and its scope is

still being extended.

The beginnings of algebraic method are to be found in Diophantus, a Greek

of the fourth century of our era, but it was the Arabians that introduced

algebra to Europe, and from them it received its name. The first Arabian

treatise on algebra was published in the reign of the great Caliph Al Mamun

(813-33) by Mohammed Ben Musa. Italian merchants were the first algebraists

in Europe, and in 1202 Leonardo Fibonacci of Pisa, who had travelled and

studied in the East, published a work treating of algebra as then

understood in the Arabian school. From this time to the discovery of

printing considerable attention was given to algebra, and the work of Ben

Musa and another Arabian treatise, called the _Rule of Algebra_, were

translated into Italian. The first printed work treating on algebra (also

on arithmetic, &c.) appeared at Venice in 1494, the author being a monk

called Luca Pacioli da Bergo, a Minorite friar. Rapid progress now began to

be made, and among the names of those to whom advances are to be attributed

are Tartaglia and Geronimo Cardano. About the middle of the sixteenth

century the German Stifel introduced the signs +, -, [sqrt], and Robert

Recorde the sign =. The last-named wrote the first English work on algebra

in 1557. Francois Vieta, a French mathematician (1540-1603), first adopted

the method which has led to so great an extension of modern algebra, by

being the first who used general symbols for known quantities as well as

for unknown. It was he also who first made the application of algebra to

geometry. Albert Girard, a Flemish mathematician in the seventeenth

century, extended the theory of equations by the introduction of imaginary

quantities. The Englishman Harriot, early in the seventeenth century,

discovered negative roots, and established the equality between the number

of roots and the units in the degree of the equation. He also invented the

signs < >, and Oughtred that of x. Descartes, though not the first to apply

algebra to geometry, has, by the extent and importance of his applications,

commonly acquired the credit of being so. The same discoveries have also

been attributed to him as to Harriot, and their respective claims have

caused much controversy. He obtained by means of algebra the definition and

description of curves. Since his time algebra has been applied so widely in

geometry and higher mathematics that we need only mention the names of

Fermat, Wallis, Newton, Leibnitz, De Moivre, MacLaurin, Taylor, Euler,

D'Alembert, Lagrange, Laplace, Fourier, Poisson, Gauss, Horner, De Morgan,

Sylvester, Cayley. Boole, Jevons, and others have applied the algebraic

method not only to formal logic but to political economy.--BIBLIOGRAPHY:

Chrystal, _Algebra_ (2 vols.); Hobson, _Trigonometry_; Hardy, _Pure

Mathematics_; Whittaker and Watson, _Modern Analysis_.

ALGECIRAS ([.a]l-_h_e-th[=e]'r[.a]s) (perhaps Portus Albus of the Romans),

a seaport of Spain, on the west side of the Bay of Gibraltar, a well-built

town carrying on a brisk coasting trade. It was the first conquest of the

Arabs in Spain (711), and was held by them till 1344, when it was taken by

Alphonso XI of Castile after a long siege. Near it, in 1801, Admiral Sir

James Saumarez defeated a Franco-Spanish fleet. Differences between France

and Germany regarding Morocco led to a conference of European Powers here

from 16th Jan.-7th April, 1906. Pop. 15,800.

ALGE'RIA, a French dependency in N. Africa, having on the north the

Mediterranean, on the east Tunis, on the west Morocco, and on the south the

Desert of Sahara; area, 122,878 sq. miles, or including the Algerian Sahara

343,500. The country is divided into three departments--Algiers, Oran, and

Constantine. The coastline is about 550 miles in length, steep and rocky,

and though the indentations are numerous, the harbours are much exposed to

the north wind. The country is traversed by the Atlas Mountains, two chains

of which--the Great Atlas, bordering on the Sahara, and the Little, or

Maritime Atlas, between it and the sea--run parallel to the coast, the

former attaining a height of 7000 feet. The intervals are filled with lower

ranges, and numerous transverse ranges connect the principal ones and run

from them to the coast, forming elevated tablelands and enclosed valleys.

The rivers are numerous, but many of them are mere torrents rising in the

mountains near the coast. The Shelif is much the largest. Some of the

rivers are largely used for irrigation, and artesian wells have been sunk

in some places for the same purpose. There are, both on the coast and in

the interior, extensive salt lakes or marshes (_Shotts_), which dry up to a

great extent in summer. The country bordering on the coast, called the

_Tell_, is generally hilly, with fertile valleys; in some places a flat and

fertile plain extends between the hills and the sea. In the east there are

_Shotts_ that sink below the sea-level, and into these it has been proposed

to introduce the waters of the Mediterranean. The climate varies

considerably according to elevation and local peculiarities. There are

three seasons: winter from November to February, spring from March to June,

and summer from July to October. The summer is very hot and dry. In many

parts of the coast the temperature is moderate and the climate so healthy

that Algeria is now a winter resort for invalids.

The chief products of cultivation are wheat, barley, and oats, tobacco,

cotton, wine, silk, and dates. Early vegetables, especially potatoes and

pease, are exported to France and England. A fibre called _alfa_, a variety

of esparto, which grows wild on the high plateaux, is exported in large

quantities. Cork is also exported. There are valuable forests, in which

grow various sorts of pines and oaks, ash, cedar, myrtle, pistachio-nut,

mastic, carob, &c. The Australian _Eucalyptus glob[)u]lus_ (a gum tree) has

been successfully introduced. Agriculture often suffers much from the

ravages of locusts. Among wild animals are the lion, panther, hyena, and

jackal; the domestic quadrupeds include the horse, the mule, cattle, sheep,

and pigs (introduced by the French). Algeria possesses valuable minerals,

including iron, copper, lead, sulphur, zinc, antimony, marble (white and

red), phosphate, and lithographic stone.

The trade of Algeria has greatly increased under French rule, France,

Spain, and England being the countries with which it is principally carried

on, and three-fourths of the whole being with France. The exports (besides

those mentioned above) are olive-oil, raw hides, wood, wool, tobacco,

oranges, &c.; the imports, manufactured goods, wines, spirits, coffee, &c.

The manufacturing industries are unimportant, and include morocco leather,

carpets, muslins, and silks. French money, weights, and measures are

generally used. The chief towns are Algiers, Oran, Constantine, Bona, and

Tlemsen. There are about 2800 miles of railways opened; there is also a

considerable network of telegraph lines.

The two principal native races inhabiting Algeria are Arabs and Berbers.

The former are mostly nomads, dwelling in tents and wandering from place to

place, though a large number of them are settled in the Tell, where they

carry on agriculture and have formed numerous villages. The Berbers, here

called Kabyles, are the original inhabitants of the territory and still

form a considerable part of the population. They speak the Berber language,

but use Arabic characters in writing. The Jews form a small but influential

part of the population. Various other races also exist. Except the Jews,

all the native races are Mahommedans. There are now a considerable number

of French and other colonists, provision being made for granting them

concessions of land on certain conditions. There are over 260,000 colonists

of French origin in Algeria, and over 200,000 colonists natives of other

European countries (chiefly Spaniards and Italians). Algeria is governed by

a governor-general, who is assisted by a council appointed by the French

Government. The settled portion of the country, in the three departments of

Algiers, Constantine, and Oran, is treated much as if it were a part of

France, and each department sends two deputies and one senator to the

French chambers. The rest of the territory is under military rule. The

colony costs France a considerable sum every year. Pop. of Algeria proper

in 1911, 5,523,449; of the Algerian Sahara, 40,379.

The country now called Algeria was known to the Romans as Numidia. It

flourished greatly under their rule, and early received the Christian

religion. It was conquered by the Vandals in A.D. 430-1, and recovered by

Belisarius for the Byzantine Empire in 533-4. About the middle of the

seventh century it was overrun by the Saracens. The town of Algiers was

founded about 935 by Yussef Ibn Zeiri, and the country was subsequently

ruled by his successors and the dynasties of the Almoravides and Almohades.

After the overthrow of the latter, about 1269, it broke up into a number of

small independent territories. The Moors and Jews, who were driven out of

Spain by Ferdinand and Isabella at the end of the fifteenth century,

settled in large numbers in Algeria, and revenged themselves on their

persecutors by the practice of piracy. On this account various expeditions

were made by Spain against Algeria, and by 1510 the greater part of the

country was made tributary. A few years later the Algerians invited to

their assistance the Turkish pirate Horush (or Haruj) Barbarossa, who made

himself Sultan of Algiers in 1516, but was not long in being taken by the

Spaniards and beheaded. His brother and successor put Algiers under the

protection of Turkey (about 1520), and organized the system of piracy which

was long the terror of European commerce, and was never wholly suppressed

till the French occupation. Henceforth the country belonged to the Turkish

Empire, though from 1710 the connection was little more than nominal. The

depredations of the Algerian pirates were a continual source of irritation

to the Christian Powers, who sent a long series of expeditions against

them. For instance, in 1815 a United States fleet defeated an Algerian one

and forced the Dey to agree to a peace in which he recognized the American

flag as inviolable. In 1816 Lord Exmouth with an English fleet bombarded

Algiers, and exacted a treaty by which all the Christian slaves were at

once released, and the Dey undertook for the future to treat all his

prisoners of war as the European law of nations demanded. But the piratical

practices of the Algerians were soon renewed.

At last the French determined on more vigorous measures, and in 1830 sent a

force of over 40,000 men against the country. Algiers was speedily

occupied, the Dey retired, and the country was without a government, but

resistance was organized by Abd-el-Kader, an Arab chief whom the emergency

had raised up. He began his warlike career of fifteen years by an attack on

Oran in 1832, and after an obstinate struggle the French, in Feb., 1834,

consented to a peace, acknowledging him as ruling over all the Arab tribes

west of the Shelif by the title of Emir of Maskara. War was soon again

renewed with varying fortune, and in 1837, in order to have their hands

free in attacking Constantine, the French made peace with Abd-el-Kader,

leaving to him the whole of Western Algeria except some coast towns.

Constantine was now taken, and the subjugation of the province of

Constantine followed. Meanwhile Abd-el-Kader was preparing for another

conflict, and in Nov., 1838, he suddenly broke into French territory with a

strong force, and for a time the supremacy of the French was endangered.

Matters took a more favourable turn for them when General Bugeaud was

appointed governor-general in Feb., 1841. In the autumn of 1841 Saida, the

last fortress of Abd-el-Kader, fell into his hands, after which the only

region that held out against the French was that bordering on Morocco.

Early in the following year this also was conquered, and Abd-el-Kader found

himself compelled to seek refuge in the adjoining empire. From Morocco

Abd-el-Kader twice made a descent upon Algeria, on the second occasion

defeating the French in two battles; and in 1844 he even succeeded in

raising an army in Morocco to withstand the French. Bugeaud, however,

crossed the frontier, and inflicted a severe defeat on this army, while a

French fleet bombarded the towns on the coast. The Emperor of Morocco was

at length compelled to agree to a treaty, in which he not only promised to

refuse Abd-el-Kader his assistance, but even engaged to lend his assistance

against him. Reduced to extremities Abd-el-Kader surrendered on 27th Dec.,

1847, and was at first taken to France a prisoner, but was afterwards

released on his promise not to return to Algeria. The country was yet far

from subdued. The Kabyles, and the Arabs in the south, made protracted

resistance, and rose again and again against the yoke which it was

attempted to impose upon them. The numerous risings that successively took

place thus rendered Algeria a school for French generals, such as

Pelissier, Canrobert, St. Arnaud, and MacMahon. In 1864 MacMahon succeeded

Pelissier as governor-general, and had as his first work to put down an

insurrection. About this time the Emperor Napoleon III, who had visited the

colony, introduced considerable modifications into the government,

recognizing that the native races had grievances to complain of, and that

the French rulers were in various ways astray in the methods of government

adopted. Fresh disturbances broke out in the south nearly every year till

1871, when, owing to the Franco-Prussian war, a great effort was made to

throw off the French yoke, the colony being nearly denuded of French

soldiers. It was, however, completely suppressed, and in order to remove

what was believed to be one principal cause of the frequent insurrections,

a civil government was established instead of the military government in

the northern parts of the colony. The southern parts, inhabited by nomadic

tribes, are still subject to military rule. When the French took in hand

the occupation of Tunis, a rising took place (in 1881) in the west of

Algeria, under a chieftain who was able to inflict some loss and damage on

the French forces and colonists, but with no permanent result. Since then

quietness has generally prevailed in the colony, where the French, however,

continue to maintain a considerable military force. Owing to this and other

expenditure Algeria has always formed a burden on the resources of France.

The great aid rendered by Algeria to France during the European War led the

French Government to introduce new laws. The law of 4th Feb., 1919, gives

French citizenship to all Algerian natives under certain

conditions.--BIBLIOGRAPHY: M. D. Stott, _The Real Algeria_; Sir R. Lambert

Playfair, _Handbook for Travellers in Algeria_ (Murray's Handbooks).

ALGESI'RAS. See _Algeciras_.

ALGHERO, or ALGHERI ([.a]l-g[=a]'r[=o], [.a]l-g[=a]'r[=e]), a fortified

town and seaport on the north-west coast of the island of Sardinia, 15

miles south-west of Sassari; the seat of a bishop, with a handsome

cathedral. One of the remarkable edifices of Alghero is the Casa Arbia,

where Charles V was lodged. The necropolis of Anghelu Ruju, situated in the

vicinity, was excavated in 1904.

ALGIERS (al'j[=e]rz; Fr., _Alger_), a city and seaport on the

Mediterranean, capital of the French colony of Algeria, is situated on the

west side of the Bay of Algiers, partly on the slope of a hill facing the

sea. The old town, which is the higher, is oriental in appearance, with

narrow, crooked streets, and houses that are strong, prison-like edifices.

Its crowning point is the Kasbah, or ancient fortress of the Deys, about

500 feet above the sea, now serving as barracks. The modern French town,

which occupies the lower slope and spreads along the shore, is handsomely

built, with broad streets and elegant squares. It contains the Government

buildings, the central military and civil establishments, the residence of

the governor-general and the officials of the general and provincial

Government, the superior courts of justice, the archbishop's palace and the

cathedral, various other churches, including an English church and library,

the great commercial establishments, &c. A fine boulevard built on a series

of arches, and bordered on one side by handsome buildings, runs along the

sea-front of the town overlooking the bay, harbour, and shipping. Forty

feet below are the quay and railway-station, reached by inclined roads

leading from the centre of the boulevard. The harbour is good and

capacious, enclosed by piers or jetties, and otherwise improved at great

expense, and it and the city are defended by a strong series of

fortifications. Algiers is well provided with educational institutions,

including high schools or colleges for law, medicine, literature,

mathematics, and natural science; besides normal schools, an observatory,

public library, &c. Algiers is in every way far the most important place in

Algeria. There is a large shipping trade carried on, especially with

Marseilles, Cette, and some of the Spanish ports. Trade routes from the

interior and also railways centre in Algiers, and the exports include

grain, wine, cattle, wool, ore, tobacco, fruit, olive-oil, &c. Algiers is

now an important coaling station The city possesses widely-extended

suburbs. The climate, though variable, makes it a very desirable winter

residence for invalids and others from colder regions. Though warm, it is

bracing. There is a considerable rainfall (average 29 inches), but the dry

air and absorbent soil prevent it from being disagreeable. The winter

months resemble a bright, sunny English autumn, while the heat of summer is

not so intense as that of Egypt. The sirocco or desert wind is troublesome,

however, during summer, but in the winter it is merely a pleasant, warm,

dry breeze. Hailstorms are not infrequent, but frost and snow in Algiers

are so rare as to be almost unknown. Pop. 172,397.

ALGIN, a viscous, gummy substance obtained from certain seaweeds, more

especially those of the genus Laminaria. It can be utilized for all

purposes where starch or gum is now required; may be used in cookery for

soups and jellies; and in an insoluble form it can be cut, turned, and

polished, like horn or vulcanite.

ALGO'A BAY, a bay on the south coast of the Cape Province, 425 miles east

of the Cape of Good Hope, the only place of shelter on this coast for

vessels during the prevailing north-west gales. It was the first

landing-place of British immigrants in 1820. The usual anchorage is off

Port Elizabeth, on its west coast, a place of large and increasing trade,

but open on the east and south-east.

ALGOL', Arabic name of a star in the constellation Perseus (head of

Medusa), remarkable as a variable star, changing in brightness from the

second to the fifth magnitude.

ALGO'MA, a district of Canada, on the north of Lake Superior, forming part

of the north-west portion of Ontario, rich in silver, copper, iron, &c.

ALGON'KINS, or ALGONQUINS, a family of North American Indians, formerly

spread over a great extent of territory, and still forming a large

proportion of the Indians of Canada. They consisted of four groups,

namely--(1) the eastern group, comprising the Massachusetts, Narragansets,

Mohicans, Delawares, and other tribes; (2) the north-eastern group,

consisting of the Abenakis, &c.; (3) the western group, made up of the

Shawnees, Miamis, Illinois, &c.; and (4) the north-western group, including

the Chippewas or Ojibbewas, the largest of all the tribes.

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