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iuftice and delicacv, cenfure and putiilh with addrefs, limit 

 the unbounded demands of feme by flattery, check the 

 independence of others by apparent conceflions, and try 

 to eftablifh in the interior government of this republic 

 as much harmony as reigns in the orcheftra. It is ma- 

 Btfell that nothing but the moft fubtile, artful, and 

 pliant charafter can hope to accomplifti fuch Herculean 

 labours. 



The time neccffary for fuch a miniftry, did not allow Trial 

 leifure for purfuing compofition with the ardour and appli- 

 cation with which he began his career. During his regency 

 at the opera he compofed but little, and that was generally 

 in partnerfhip with others. 



In I 770 he was found dead in his bed, without any previous 

 illnefs or warning. He married, in 1769, Mademoifelle Vic- 

 toire, well known for her wit and talents, with whom he lived 

 in the utmoft harmony. A good fon, a good hufband, a 

 good bi-other, and good friend. 



His funeral manifefted how much he was beloved ; every 

 one who attended it was in tears : no funeral oration is equal 

 to fuch tears ; for they are never (hed but for objefts worthy 

 of them. Flattery hes, but never weeps. 



Trial Point, in Geography, a cape on the fouth-eall coafl 

 of the ifland of Jura. N. lat. 55° 54'. W. long. 5' 52'. 



TRIALETE, a town of the principality of Georgia, in 

 the province of Carduel ; 40 miles S.W. of Gori. 



THIAMBO, in Hindoo Mythology, a name of the Hin- 

 doo god Siva, who correfponds in many points with the pri- 

 mary deities of the Pantheon of Greece and Rome. The 

 name of Triambo feems to conneft him with Dionyfius or 

 Bacchus ; for after the conqueil of India, we are told by 

 Diodorus that the Greek deity alTumed the title of Thriam- 

 bus. One of the names of Siva is Baghefa ; refembhng 

 that of the conqueror of India fufficiently nearly for ety- 

 mological hypothefis to found an argument on, efpecially 

 when points of charafter and attributes alfo correfpond. 

 (Of thefe fee under our articles Kartikya and Siva.) 

 The fignification of the title Triambo is not evident. Siva 

 has feveral names allufive to his triple attributes and ener- 

 gies. Trilokan and Trinetra, for inftance, mean with three 

 eyes ; Trifuli, with the trident ; Trikala, or omniprefent ; 

 that is, exifting in all times, the paft, the prefent, and the 

 future. See thofe articles, and Trimurti. 



TRIANA, in Geography, one of the fauxbourgs of the 

 city of Seville. 



TRIANDRI A, in Botany, the third clafs in the fexual, 

 or artificial, fyftem of Linnaeus, derives- its name from 

 having three unconnefted ftamens, in the fame flower with 

 the piftil, or piftils. This clafs is chiefly compofed of what 

 are termed monocotyledonous plants, the number three, or 

 its double quantity, fix, prevailing as much in that tribe, as 

 the number five does in the dicotyledonous families. See 

 Pentan'dria. 



The orders of this third clafs are three, i. Monogynia, 

 opening with the dicotyledonous and ambiguous gerMjs Vale- 

 riana, fome of whofe fpecies have but one ftamen, though 

 moft have three. The fword-leaved plants (fee Ensat.e) 

 follow ; and then the Calamarie, or grafs-like genera of 

 Schoenus, Cyperus, Scirpus, and their allies. 2. Digynia 

 confiils of the true grades ; fee Gr.wiina. Some of thefe, 

 indeed many of them occafionally, have abortive or male 

 flowers interfperfed with the perfeft ones, and are for that 

 reafon placed by Linnaeus in his clafs Polygamia. This 

 ineafure, as we have often had occafion to obferve, is at- 

 tended with much inconvenience in various cafes, though in 

 KOne more than the prefent. 3. Trigynia, a fmall order, is 

 made up, for the nioft part, of very limited genera of the 



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pink tribe, Caryophylieit, a tribe which, by its clofe relation- 

 ftiip to the ^triplices and Amaranthi of Juflieu, tends, as 

 that great writer candidly obferves, to invahdate the diftinc- 

 tion between his apetalous and polypetalous clafles. It at 

 leaft caufes too great a feparation in his fyftem between or- 

 ders nearly akin. 



Triandria is moreover the title of a few orders of the 

 Linnsean fyftem ; as the firft of the Monadelphia, confifting 

 chiefly of fword-leaved genera ; the third of Gynandria, 

 which perhaps has fcarcely any real exiftence ; the third of 

 Monotcia, containing Carex and Sparganium, with fome tri- 

 coccous genera ; and the third of Dioecia, formed of fome 

 rulhy, and fome anomalous plants. 



TRIANGLE, in Geometry, a figure comprehended 

 under three lines or fides, and which, of confequence, has 

 three angles. 



If the three lines or fides of the triangle be all right, it 

 is faid to be a plane or re8iUnear triangle. 



If all the three fides of the triangle be equal (as A B C, 

 Plate XV. Geometry, Jig. 5.) it is faid to be equilateral. 



If only two of the fides of the triangle be equal (as in 

 D E F, Plate Will. Jig. 105.) it is caEed an ifofceles or 

 equicrural triangle. 



If all the fides of the triangle be unequal to each other, 

 (asinACB, Plate '^V. Geometry, Jig. 6.) the triangle is 

 faid to he fealeneus. 



If one of the angles, as K {Jig. 7.) of a triangle 

 K M L be a right angle, the triangle is faid to be reS- 

 angular. 



If one of the angles, as N [Jig. 8.) be obtufe, the tri- 

 angle is faid to be obtufangular, or amblygonous. 



If all the angles be acute, (as in A C B, Plate XV. Geo- 

 metry, Jig. ^.) the triangle is faid to be acutangular, or 

 oxygonous. 



If the three Knes of the triangle be all curves, the triangle 

 is faid to be curvilinear. 



If fome of the fides be right, and others curve, the trian- 

 gle is faid to be mixtilinear. 



If the fides be all arcs of great circles of the fphere, the 

 triangle is faid to he Jpherieal. 



Triangles, Similar. See Similar. 



Triangle, Charaaerifiic, of a curve. See Curve. 



Triangle, JSaJe, Canon, Hypothenufe, Legs, and RefJl- 

 ance oj a. See the feveral articles. 



Triangles, Con^rudion of. i. Two fides, as A B and 

 AC [Plate XV. Geometry, Jg. g.) being given in num- 

 bers, or otherwife, together with the quantity of the angle 

 intercepted between them, A ; to conftruft a triangle. 

 Aflume A B as a bafe ; and in A make the given angle : on 

 the other leg fetoff the other given hne A C ; laftly, draw 

 B C : then well A B C be the triangle required. 



Hence, two fides with the intercepted angle being deter- 

 mined, the whole triangle is determined. Wherefore, if in 

 two triaagles A C B and act; a = A ; and a 6 : a c :: 

 A B : A C, the triangles are determined in the fame man- 

 ner, and are therefore fimilar ; confequently f = C, and 

 i = B, a* : ^r :: A B : B C, &c. 



2. Three fides, A B, B C, and C A (Plate XV. Geo- 

 metry. Jig. 5.) being given, any two of which, as A C, A B, 

 taken together, are greater than the third : to conftruft 

 a triangle. Aflume A B for a bafe ; and from A, with the 

 interval A C, defcribe an arc y ; and from B, with the in- 

 terval B C, defcribe another arc x : draw the right lines 



A C and B C. Thus is the triangle conftrufted Hence, 



as of any three given right lines, only one triangle can be 

 conftrufted ; by determining the three fides, the whole tri- 

 angle is determined. 



Wherefore, 



