coaft of the ifland of 

 of 

 of 



TAN 



^ANBAY, a town on the E. 

 Negros. N. lat. lo'^ 3'. E. long. 123° 1'. 



TANCACA, a town of Mexico, in the provnice 

 Guaileca ; 50 miles W.S.W. of St. Yago de los Valles. 



TANCALE, a town of Mexico, in the province 

 Guafteca ; 50 miles N.W. of St. Yago de los Valles. 



TANCANCHY, a town of Hindoollan, in Madura ; 

 8 miles S. of Vadagary. 



TANCARVILLE, a town of France, in the depart- 

 ment of the Lower Seine; 10 miles S.E. of Montevilliers. 



TANCHOY, a town of Mexico, in the province of 

 Guafteca ; 35 miles N. of Panuco. 



TANCICUY, a town of Mexico, in the province of 

 Guafteca ; 15 miles S.W. of Panuco. 



TANCOA, a town of Abyffinia ; 40 miles N.N.E. of 

 Mine. 



TANCOBANCA, a river of Perfia, which runs into the 

 fea, 69 miles W.N.W. of Port Jaques. 



TANCOS, a town of Portugal, in Eftremadura, at the 

 conflux of the Zezare and the Tagus ; 2 1 miles N.E. of 

 Santarem. 



TANCUYLABO, a town of Mexico, in the province 

 of Guafteca ; 30 miles S.S.E. of St. Yago de los Valles. 



TANCYTOWN, a poft-town of Maryland ; 27 miles 

 N.E. of Frederickftown. 



TANDA, a town on the eaft coaft of the ifland of Min- 

 danao. N. lat. 8° 48'. E. long. 126° 12'. 



Tanda, or Tanrah, a town of Hindooftan, called fome- 

 times Chatvafpour Tanda, from the original name of the 

 diftriA in which it was fituated. It was a ftiort time, 

 in the reign of Shere Shaw, about the year 1540, the 

 capital of Bengal, and became the eftablifhed capital under 

 Acbar, about 1580. It is fituated very near to the fcite 

 of Gour, on the road leading from it to Rajemal. There 

 is little remaining of this place, fave the rampart ; nor do 

 we know for certain when it was deferted. In 1659 it was 

 the capital of Bengal, when that fubah was reduced under 

 Aurungzebe. 



TANDAH, a town of Bengal; 12 miles S.E. of Cal- 

 cutta. 



TAND AM, a town of Bootan ; 57 miles N. of Dinage- 

 pour. 



TANDAMORGONG,atovvnofHindooftan,inGoond- 

 wanah ; 25 miles E. of Nagpour. 



TANDEGO, a town of Africa, on the St. Domingo 

 river ; 25 miles E. of Farim. 



TANDERAGEE, a poft-town of the county of Ar- 

 magh, Ireland, which has a good linen market. It is near 

 the Nevnry canal, and 61 miles N. by W. from Dublin. 



TANDLA, a town of Hindooftan, in Malwa ; 72 miles 

 W. of Ougein. N. lat. 23° 5'. E. long. 74° 30'. 



TANDOO Baas, a fniall ifland in the Sooloo Archi- 

 pelago. N. lat. 5° 8'. E. long. 120° 15'. 



Tandoo Battoo, a fmaU ifland in the Sooloo Archipelago. 

 N. lat. 5° 9'. E. long. 120° 12'. 



TANDORF, a town of Bohemia, in the circle of Koni- 

 gingratz ; 20 miles E. of Konigingratz. 



TANE, a river of Finmark, which runs into the Frozen 

 fea, N. lat. 70° 48'. 



Tane. See Taroataiiietoomo. 



TANG, in Geography, a town of Sweden, in Weft Goth- 

 land ; 30 miles E.N.E. of Uddevalla. 



TANGA, in Commerce, a money of account at Goa, in 

 the Eaft Indies ; fome of which are good, and others bad. 

 A pardo is worth 4 good tangas or 5 bad ; 16 good vintins, 

 or 20 bad, are equal to 300 good bafaruccos, or 360 bad. 

 The coins are the St. Thomas, a gold piece of money of 



TAN 



nearly the weight of a ducat, which pafTes for 11 good 

 tangas, more or lefs. The filver coins arc the pardo xera- 

 pliin of 5 good tangas, and the common pardo of 4 good 

 tangas. The copper and tin coins are the good and bad 

 bafaruccos. Venetian fcquins are worth if) good taugas ; 

 pagodas, 10 good tangas; and Spanifti dollars, 550 good 

 bafaruccos, all more or lefs. A good tanga is worth about 

 l\d ftcrhng ; a pardo, 2s. 6d. ; and a xeraphin, y. ^^J, 

 fterling nearly. Kelly's Cambift. 



TANGALA, in Geography, a fmall ifland in the Eaft 

 Indian fea, near tlie S. coaft of Java. S. lat. 8" 20'. E. 

 long. 1 1 1° 45'. 



TANGALE, a town of the ifland of Ceylon ; 92 nvleg 

 S. of Candy. 



TANGA R AC, in Botany, a poifonous Brafilian plant; 

 but the root, fays Pifo, is an antidote to the leaves, flowers, 

 and fruit. Boyle's Works, Abr. vol. i. p. 14. 



TANGA WA, in Geography, a town of Japan, in tbe 

 ifland of Ximo ; 30 miles S.E. of Kokura. 



TANGE, a town of Sweden, in Weft Gothland ; 21 

 miles N. of Gotheburg. 



TANGEN, a town of Norway, in the province of 

 Aggerhuus ; 2 miles E. of Stromfoe. 



TANGENE, a town of Sweden, in Weft Gothland ; 

 26 miles E. of Uddevalla. 



TANGENT, in Geometry, a right line which touches a 

 circle, that is, meets it in fuch manner, as that, though 

 infinitely produced, it would never cut the fame ; that is, 

 never come within the circumference. 



Thus^theline AD {P/ate XV. Geometry, fg. 3.) is a Un- 

 gent to the circle in D. 



It is demonftrated in geometry; i. That if a tangent, 

 A D, and a fecant, A B, be both drawn from the Tan»e 

 point, A ; the fquare of the tangent will be equal to the 

 reftangle, under the whole fecant A B, and that portion of 

 it, A C, which falls without the circle. 



2. That if two tangents, AD, A E, be drawn to the 

 fame circle from the fame point A, they will be equal to 

 each other. 



As a right line is the tangent of a circle, when it touches 

 the circle fo clofely, that no right line can be drawn through 

 the point of contaft between it and the arc, or within the 

 angle of contaft that is formed by them ; fo in general, 

 when any right line touches any arc of a curve, in fuch a 

 manner that no right line can be drawn through the point 

 of contad, betwixt the right line and the arc, or within the 

 angle of contaft tliat is formed by them, then is that Unctbe 

 tangent of the curve at the faid point. 



I'he tangent of an arc is tlie right line that admits the 

 pofition of all the fecants that can pafs through the point of 

 contaft, though, ftriftly fpeaking, it is no lecant. MacL 

 Flux. art. i8i. 505. 



Tangent, in Trigonometry. — u4 tangent of an arc is a 

 right line, raifed perpendicularly on the extreme of the 

 diameter, and continued to a point, where it is cut by a 

 fecant, that is, by a line drawn from the centre through the 

 extremity of the arc of which it is a tangent. 



A tangent oj an arc A {Plate II. Trigonom. fg. 'S-) is a part 

 of a tangent of a circle (that is, of a right line, which touches 

 a circle without cutting it), intercepted between two right 

 lines drawn from tlie centre C, through the extremes of the 

 arc E and A. 



Hence the tangent F E is perpendicular to the radius- 

 EC. 



And hence the tangent F E is the tangent of the angle 

 ACE, as alfo of that of A C 1 ; fo that two adjacent 

 angkg have only the fame commoa tangent. 



]i, 2 Tangbmt, 



