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tnrage, arofe, and treated all muficians as ignorant and 

 abfurd, who had not oppofed temperament, and regarded 

 all mufic as diflonance which had been compofed for tem- 

 pered fcales. But we have heard nothing of the learned 

 abbe fince the Revolution ; and there feems to be no more 

 true believers left in Pythagoras's doftrine of the triple 

 progreflion, in Europe at leaft, than in that of the tranf- 

 migration of fouls. 



Triplk Quartan Fever. See Fever. 



Triple Incifion. See Engrafting. 



TRIPLICATE Ratio, is the ratio wJiich cubes bear 

 to each other. 



This ratio is to be diftinguifhed from triple ratio, and 

 may be thus conceived. In the geometrical proportionals 2, 

 4, 8, 16, 32, as the ratio of the firft term (2) is to the 

 third (8) duplicate of that of the firft to the fecond, or of 

 the fecond to the third : fo the ratio of the firil to the 

 fourth is faid to be triplicate of the ratio of the firft to the 

 fecond, or of that of the fecond to the third, or that of the 

 third to the fourth, as being compounded of three equal 

 ratios. 



TRIPLICATIO, Triplication, in Civil Law, is the 

 fame with fur-rejoinder in common law. 



TRIPLICITY, or Trigon, among Afirologers, is a 

 divifion of the iigns, according to the number of the ele- 

 ments ; each diviiion confifting of three figns. 



Triplicity is frequently confounded with trine afpeH ; 

 though, ftriftly fpeaking, the two are very different things : 

 triplicity is only ufed with regard to the figns, and trine, 

 on the contrary, with regard to the planets. 



The figns of triplicity are thofe which are of the 

 fame nature, and not thofe which are in trine afpeft. Thus 

 Leo, Sagittario, and Aries, are figns of triphcity, becaufe 

 thofe figns are, by thefe writers, all fuppofed fiery. 



TRIPLO Heath, in Geography, a common of England, 

 remarkable for being the fpot where the army formed the 

 council of agitators, and chofe Oliver Cromwell for their 

 commander, in 1648; 8 miles S. of Cambridge. 



TRIPLOIDES, a furgeon's inftrument, with a three- 

 fold bafis, ufed in the reftoring of great dcpreflions of the 

 ikuU. Blanc. 



TRIPOD, Tripos, in Antiquity, a famed facred feat or 

 ftool, fupported by three feet, on which the prieft and 

 fibyls were placed to render oracles. 



It was on the tripos that the gods infpired the Pythians 

 with that divine fury and enthufiafm with which they were 

 feized at the delivering of their predictions. 



M. Spanheim obferves, that, on Roman medals, the tripod 

 exprefles fome priefthood, or facerdotal dignity. A tripod, 

 with a raven and a dolphin, is alfo the fymbol of the duura- 

 viry, deputed for keeping of the fibylline oracles, and for 

 confulting them on occafion. 



Athenseus admits only two forts of tripods, that are re- 

 duced to great and fmall tripods. But Banier diftin- 

 guifties three kinds. Under the firft he includes thofe 

 ufed by the Pythia, when fhe delivered the oracles of 

 Apollo in the temple of Delphos. The fecond kind com- 

 prehends whatever ftood upon three feet, fuch as vafes, 

 tables, &c. of which there was a great number. Under the 

 third olals are included the votive tripods, which princes 

 or private perfons dedicated in the temples of Apollo. 

 Herodotus (lib. ix.) fpeaks of a golden tripod, which the 

 Greeks, upon their viftory over tlie Perfians, fent to Del- 

 phos. Moft of the tripods found in tlie cabinets of the 

 curious, are of brafs or of bronze. 



Trifoo of Jaf on. See Triton. 



TRIPODIUM. In the laws of Henry I. occurs this 



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paffage— -" Inquibus vero caufis triplicem ladam haberet, 

 ferat judicium tripodii," i. e. 60 folid. The meaning of 

 which, according to fome, is, that, as for a fmall offence 

 the compofition was twenty fiiillings ; fo for a great offence, 

 which was to be purged trip/ici lada, the compofition was 

 three times twenty ftiillings, and this was called tripodium. 



TRIPOLDA, in Geography, a town of Naples, in Prin- 

 cipato Ultra ; 16 miles S. of Benevento. 



TRIPOLI, a country of Africa, which, though tri- 

 butary to the grand fignior, is called a kingdom or regency ; 

 bounded on the N. by the Mediterranean ; on the E. by 

 Barca, or, confidering Barca as a province of Tripoli, by 

 Egypt ; on the S. by the Atlas mountain ; and on the W. 

 by Tunis and Biledulgerid ; about 6co miles from E. to W. 

 The breadth, from N. to S., is various, from 120 to 250. 

 It has formerly been divided into feven provinces, or witli 

 Barca, eight ; but it is generally diftinguiftied into Maritime 

 and Inland : the inhabitants of the former generally live 

 upon commerce and piracy ; the latter for the moft part on 

 plunder and robbery. Each divifion hath fome cities and 

 towns, befides a number of villages, which lie fcattered chiefly 

 through the latter ; moft of them very poor and thinly in- 

 habited ; the country being almoft every where fandy and 

 barren : as for cities and towns, there are few of confe- 

 quence, the greater part being either wholly depopulated 

 and gone to ruins, or only inhabited by a few fifhermen, 

 lime-burners, potafti-makers, and here and there fome few 

 labourers ; the chief part reduced to the loweft degree of 

 mifery and wretchednefs, through the cruel exaftions of the 

 government, or the frequent depredations of the Arabs. 

 The government, religion, laws, and cuftoms of this king- 

 dom are in a great meafure the fame with thofe of Algiers 

 and Tunis. Only with refpeft to the firft of thefe articles, 

 it will not be amifs to obferve, that the beys of Tripoh are 

 not mere titular vaffals to the Porte, but really under fub- 

 jeftion and tribute. This joined to the other exigencies of 

 the regency, the avarice of the Turkifti bafliaws fent thither 

 from Conftantinople, and the general decay of commerce, 

 obliges them to load the fubjefts with fuch heavy ta-Kes and 

 extortions, as hath reduced the greateft part of the kingdom 

 to the loweft degree of indigence and mifery. The revenues 

 arife chiefly from their corfairs, which are neverthclefs but 

 few, feldom exceeding feven or eight, and of thefe only one 

 can properly be ftyled a fhip, the reft are fmall gallics, 

 poorly manned and equipped. The next is the duty on 

 imports and exports ; the tax on the Jews, who are here 

 very numerous ; on the natives, who, though ever fo poor, 

 muft yet pay part of the produft of their ground, or manu- 

 faftures ; and laftly on the country Moors and Arabs, 

 among whom the bey fends his flying camp of janizaries to 

 levy it ; for thefe laft, as well as the Moors, are kept fo 

 poor by thofe heavy taxes, that nothing but force, and 

 fometimes exemplary feverity, can extort it from them. 

 The bey, by means of his proteftion from the Porte, makes 

 fliift to keep up a kind of defpotic power, ai. he is befides 

 generaliffimo of all the forces. As for thoi. commerce, it 

 chiefly confifts in flaves, either fuch as are taken by their 

 corfairs, or fuch as they traffic for with their neighbours : 

 the greateft part of both they fend into Turkey, where they 

 can difpofe of them to the beft advantage. The next brand) 

 is that of aihes, which they buy from the Arabians, and fell 

 to the Europeans, to make glafs and foap : the reft of 

 their traffic is not worth mentioning. One circumftance ni 

 the conduft of this regency deferves notice : they are more 

 fcrupulous obfervers of their treaties with other nations 

 than any of their neighbours : which punduallty, whether 

 it proceeds from real probity, or a confcioiifoefs of their 



^ own 



