r40 
GAM 
GAN 
sftiially raifed to the power n, the only term in which a 
does not occur is the lart; b ": therefore all the terms but 
the laft are favourable to A. 
Tims if n—i, raifing a\b to the cube ^ia'^b-\-zab'^ 
•\-b^, all the terms but ^3 vvill be favourable to A ; 
and therefore the probability of A’s winning will be 
o.-\-b\ 
of B’s winning will be__^l__. 
a-\-b P 
; and the probability 
But if A and B play on 
■condition, that if either two or more of the events in 
queftion happen, A lhall win; but in cafe one only hap¬ 
pen, or none, B fliall win; the probability of A’s win- 
•11 L +^1'— nab"—■*—r , , 
■ning will be—! — -- -- for the only two terms 
^ + ^ 1 " 
hi which aa does not occur, are the two lad, viz, nab «—i 
and ^ 5 L Seethe article Algebra, vol. i. p. 315; and 
the game of Faro, vol. vii. p. 221. 
GA'MING., in fculpture and painting, is repre- 
fented by a woman fitting at a gaming table, and fweep- 
ing money into a bag full of holes, through which it im¬ 
mediately fa) Is out again. By lier fide an anchor, and 
witji lier right foot endeavouring to flop the wheel of 
fortune. 
GA'MING-HOUSE, y. A houfe where gaming is 
carried on.—All diforderly inns or alehoufes, bawdy- 
houfes, gaming-houfes, flage-plays unlicenfed, booths and 
ftages forropedancers, and the like, are public nuifances. 
Blarkjlone. 
GA'MING-TABLE, y. A table appropriated to ga¬ 
ming.—They frequent plays, operas, and taverns ; and at 
home have their routs and their gaming-tables. World. 
GAM'LITZ, a town of Germany, in the duchy of 
Stiria : eleven miles north-north-wefl of Marburg. 
GAM'MA,y. [from the Greek letter r, which it is 
like.] A furgical inflrument for cauterifing a hernia. 
GAMMACA'NOR, or Gammadour, a town of 
the ifland of Bachian, one of the Moluccas. 
GAM'MADIM, GAM'MADIMS, y. plu. [etymo- 
logy doubtful.] The garrifon placed in the towers of 
Tyrus. Ezek. 
GAMMALAM'MA, a town of the ifland of Ternate, 
where the king ufually refides. 
GAM'MER, y. [Of uncertain etymology; perhaps 
irom grand mere, and therefore ufed commonly to old wo¬ 
men.] The compellation of a woman correfponding to 
gaffer; as. Gammer Gurton’s Needle; an old play. 
GAM'MING, a town of Germany, in the archduchy 
xif Auflria : ten miles eafl-fouth-eafl of Bavarian Waid- 
hofen. 
GAM'MING (Markt), a town of Germany, in the 
archduchy of Auflria : ten miles eaft of Bavarian Waid- 
hofen. 
GAM'MO, a town of Africa, on the Ivory Coafl. 
GAM'MON,y. \_gambone, Ital.] The buttock of an 
hog falted and dried ; the lower end of the flitch : 
Afk for what price thy venal tongue was fold ; 
A nifty gammon of fome fev’n years old, Dryden. 
A kind of play with dice ; the back-gammon-board ; 
The quick dice, 
In thunder leaping from the box, awake 
The founding gm/Kon. Themfon. 
GAM'MON POINT, anciently called Point Gilbert, 
in North America, forms the eaftern fide of the harbour 
of Hyennes, in Barnftable county, and in the ftate of 
MafTachufetts, 
GA'MUT, y. igama, Ital.] The fcale of mufical 
notes. See Music., 
When by the gamut fome muficians make 
A perfeil fong, others will undertake, 
By the fame gamut chang’d, to equal it; 
Things fimply good can never be unfit. Donne. 
GAMPS, a town of Swiilerland, which belongs part, 
ly to the canton of Schweitzf and partly to Glaris, with 
a bailiwick, in which is a fulphurous medicinal fpring ; 
five miles fouth of Appenzel, ° 
GAM'RY-HEAD, a cape pf Scotland, on the north 
coaft of Bamfifliire; fix miles eaft of Bamff. 
GAN, for began, from ’gin for begin ; 
The noble knight ’gan to feel 
His vital force to faint. Spenftr. 
GAN, a city of China, of the firft rank, and metropo¬ 
lis of the province of Se-tchuen. Lat. 31. 16. N. Ion. 
13. S. W. Pekin. 
GAN, a town of China, of the fecoud rank, in the pro¬ 
vince of Pe-tcheli : fifteen miles eaft of Paoting, and fe- 
venty fouth-fouth-weft of Peking. Lat. 3S. 54 N. Ion. 
133. 15. E, Ferro. 
GAN, a town of France, in the department of tl;^ 
Lower Pyrenees ; one league and a half fouth of Pau, 
and three and a half eaft of Oleron. 
GAN-GIN', a town of China, of the third rank, in the 
province of Hou-quang : thirty-lix miles eaft-fouth-ea{^ 
of Heng-tche. 
GAN-N AN', a town of China, of the third rank, in the 
province of Koei-tcheou : thirty-five miles eaft of Pou- 
ngan. 
GAN-PIN', a town of China, of the third rank, in the 
province of Koei-tcheou : twenty miles north-eaft of 
Ngan-chun. 
GAN-PING', a town &{ China, of the third rank, in 
the province of Pe-tcheli: twelves miles north of Ching. 
GAN-YE', a town of China, of the third rank, in the 
province of Se-tchuen : fifty-two miles weft of Ho. 
GA'NA, a town of Arabia Felix ; 150 miles north of 
Mocha. 
GANA'NO-COU'I, a river of Upper Canada, which 
runs into the river St. Lawrence: four leagues below 
Kingfton. 
GANA'RA, a country of Africa, with a town of the 
fame name, fituated on the banks of the Niger. The 
country is populous and fertile; the articles of com¬ 
merce are gold, fena, and Haves. Lat. 12. 20. N. Ion, 
16. E. Greenwich. 
GAN'AT-SUR-LOIRE, a town of France, in the de¬ 
partment of the Allier, and chief place of a canton, in 
the diftridtof Moulins, fituated on the Loire; five leagues 
north-eaft of Moulins. 
To GANCH, V. a. [_ganciare, fromgancio, a hook, Ital. 
gancke, Fr.] To drop from a high place upon hooks by 
way of punifliment: a pradlice in Turkey, to which 
Smith alludes in his Pocockius: 
Cokors catenis qua pia flridulis 
Gemunt onejli, velfade trans fmum 
LuElanlur aEid, pendulive 
Sanguineis trepidant in uncis. Mufa Ang, 
GAN'DE, a river of Germany, which runs into the 
Leine ; four miles weft-fouth-weft of Ganderflieim. 
GANDELU', a town of France in the department of 
the Aifne, and chief place of a canton, in the diftridl of 
Chateau Thierry : two leagues and three quarters weft- 
north-weft of Chateau Thierry, and three north of la Fer- 
te-fous-Jouarre. 
GAN'DER, y. [^anbpa, Sax.] The male of the 
goofe. See Anas, vol. i. p. 516.—As deep drinketh 
the goofe as the Camden.—Orre gander W\\\ iervt 
five geefe. Mortimer. 
GAN'DERSHEIM, a town of Germany, in the circle 
of Lower Saxony, and principality of Wolfenbuttel, 
fituated on the river Gande, with a celebrated abbey of 
Proteftants, compofed of an abbefs, who is a princefs, 
and four ladies of noble families *. tw^enty miles weft of 
GAND'JA, 
