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 118 A L G terms —2-r1 — 5* that ftand over the laft variation K give, for the fame reafon, another negative impofiible root ; fo that the figns of the equation (-4 ) giving one affirmative root, we con-

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B R A. elude that of the four negative roots two are imaginary. This always holds good, unlefs, which fometiraes may. happen, “ there are more impofiible roots in the “ equation than are difcoverable by the rule.”

A L H ALGENEB, a fixed flat of the fecond magnitude on the right fhoulder of Perfeus. See Perseus. ALGHER, or Algeri, a city on the north-weft coaft of the ifland of0 Sardinia, fituated in E. long. 8° 40 y and N. lat. 41 3c/. ALGIABARII, among the Mahometans, the name of a feA of predeftinarians. See Predestination. ALGIERS, a0 kingdom of Africa, fituated between 30° and 37 of N* lat. and between i° W. and 90 E. long. It is bounded by the Mediterranean on the north, by the kingdom of Tunis on the eaft, by mount Adas on the louth, and by the river Mulvia, which feparates it from the empire of Morocco, on the weft; extending 600 miles, from eaft to weft, along the Babary coaft. The Turks, who are mafters of this kingdom, are but few in number in comparifon of the Moors, or natives, who have no fhare in the government. The Arabs, who live in tents,- are diftind from either. The dey of Algiers is an abfoiute, though an elective monarch. He is chofen by the Turkifh foldiers only, and is frequently depofed, or even put to death by them. Algiers is alfo the name of the capital of the abovementioned kingdom, fituated near the mouth of the the river Safran, on' the Mediterranean fea, oppofite to the ifland of Majorca; its E. long, being 30 2 7 , and its N. lat. 36° 49'. ALGOIDES, in botany. See Zannichellia. ALGOL, the name of a fixed ftar of the third magnitude in the conftellation Perfeus, otherwife called Medufa’s head. See Astronomy, Of the fixed Jiars. ALGONQUIN, one of the two principal languages fpoken in N. America, viz. from the river of St Laurence to that of Miffifiippi; the other which is called Haron, being fpoken in Mexico. ALGOR, with phyficians, an unufual coldnefs in any part of the body. ALGORITHM, and arabic word expreflive of numerical computation. See Arithmetic, Chap. I. ALGOSAREL, in botany, an obfolete name of the daucus. See Daucus. ALGUAZIL, in the Spanilh policy, an officer whofe bufinefs it is to fee theMecrees of a judge executed. ALHAGI, in botany, the trivial name of a fpecies of hedyfarum. See Hydesarum. ALHAMA, a fmall town of Granada in Spain, furrounded with hills, and fituated about twenty-five0 miles S. W. of Granada, W. long. 4VN, lat. 37. ALHANDAL, among Arabian phyficians, a name ufed for colocynth. See Colocynth. ALHEAL, in botany. See Galeopsis, Stachys.

A L I ALHENNA, in botany, a fynonime of the Lawfonia. See Lawsonia. ALHIDADE, or Alidade, a term of Arabic origin, fignifying the index or diopter of a mathematical inftrument for taking heights and diftances. See Diopter. ALJAMEIA, the name by which the Morifcoes of Spain called the Spanifh language. ALICANT, a large fea-port town of Spain, in the province of Valencia, wdth a very ftrong caftle. It i§ fituated in W. long,, and N. lat. 38° 37/, ALICATA, a mountain of Sicily, near the valleys Mazara and Noto, upon which was fituated (as is generally thought) the famous Daedalion, where the tyrant Phalaris kept his brazen bull. ALICE, a cape of the Hither Calabria in the kingdom of Naples, called in Latin Alicium proviontorium. ALICES, an obfolete name of the fpots that precede the eruption of the fmall-pox. ALICULA, in Roman antiquity, a kind of chlamys worn by children, which fome call tunica manicata. ALICUR, a very fmail ifland in the Tufcan fea, about fifteen miles weft from the Lipari, on the coaft of Sicily. ALIDADE. See Alhidade. ALIDES, among the Mahometans, a defignation given to the defeendents of Ali; between whom and the Ommiades,. there was a warm difpute about tfie kaliphate See Kaliphate. ALJEMBUT, in botany, an obfolete name of a fpecies of mimofa. See Mimosa. ALIBI, in Scots law; when a perfon purfued for the commiflion of a crime, libelled to have been committed at a certain place, and upon a certain day, proves in his defence, that he was elfewhere at the time libelled, he is faid to have proved alibi. See Law, tit. Crimes. ALIEN, in Scots law, a perfon who owes allegiance to a foreign prince; and who, on that account, cannot hold any feudal right in Scotland without being naturalized. See Law, title, Conjlitution of heritable rights.an Alien on all. goods by aliens, over andimport above laid the cuftoms paid imported for fuch goods imported by Britifti, and on Britifh bottoms. K'Li'ES-priories,, a kind of inferior monafteries, formerly very numerous in England, and fo called from their belonging to foreign abbeys. _ ALIENABLE, denotes fomething that may be alienated. See Alienation. ALIENATION, in law, denotes the a<ft of making over a man’s property in land, tenements, &c. to another perfon. Alie-