S E R 



S E R 



They have a confiderable (hare of the fees of honour, and 

 travelling charges allowed them when in waiting, viz. five 

 fliiUings pur day when the court is within ten miles of Lon- 

 don, and ten (hiUings when twenty miles from London. 

 The places are in the lord chamberlain's gift. 



There are four other ferjeants at arms, created in the fame 

 manner ; one who attends the lord chancellor ; a fecond, 

 the lord treafurer ; a third, the fpeaker of the houfe of 

 commons ; and a fourth, the lord mayor of London on 

 folemn occafions. 



There are alfo ferjeants of the mace of an inferior kind, 

 who attend the mayor, or other head officer of a corpora- 

 tion. 



Serjeant, Common, an officer in the city of London, 

 who attends the lord mayor and court of aldermen on court 

 days, and is in council with them on all occafions, within 

 and without the precinAs, or liberties of the city. He was 

 to take care of orphans' eftates, either by taking account of 

 them, or by figning their indentures, before their pafling the 

 lord mayor and court of aldermen ; and he was likewife to 

 let and manage the orphans' ellatcs, according to his judg- 

 ment to their bed advantage. Sec Recorder. 



Serjeants of the Houfiold, are officers who execute 

 leveral funftions within the king's houlhold, mentioned in 

 the flat. 33 Hen. VIIL c. 12. 



Serjeant, or Sergeant, in JVar, is a non-commiffioned 

 or inferior officer in a company of foot, or troop of dra- 

 goons ; armed with an halberd, and appointed to fee dif- 

 cipline obferved, to teach the foldiers their exercife and other 

 Juty. He receives the orders from the adjutant, which he 

 communicates to his officers. 



Each company has generally two ferjeants. 



Serjeant, Covering, a non-commiflioned officer, who, 

 during the exercife of a battalion, regularly ftands or moves 

 behind each officer, commanding or afting with a platoon 

 <ir company. When the ranks take open order, and the 

 officers move in front, the covering ferjeants replace their 

 leaders ; and when the ranks are clofed they fall back in 

 their rear. 



Serjeant, Drill, an expert and aftive non-commiffioned 

 officer, who, under the immediate direftion of the ferjeant- 

 niajor, inftrucls the raw recruits of a regiment in the firlt prin- 

 ciples of military exercife. When awkward or ill-behaved 

 men are fent to drill, they are ufually placed imder the care 

 of the drill-ferjeant. 



Serjeant, Lance, a corporal who afts as ferjcant in a 

 impany, but only receives the pay of corporal. 



SERJEANT-Tl/a/or. See Major. 



Serjeant, Pay, an honeft, fteady, non-commiffioned 

 officer, who is a good accountant, and write", well, that 

 is felected by the captain of a company in the infantry to 

 pay the men twice a-week, and to account weekly to him, 

 or to his fubalteni, for all diiburfements. He likewife 

 keeps a regular llatement of the neceli'arics of the men, and 

 affifts in making up the monthly abftraft for pay, allowances, 

 &c. 



Serjeant, Qiiartcr-MaJIer, a non-commiffioned officer, 

 who acts under tlw quarter-mafter of a regiment : he 

 ought to be fteady, a good accountant, and well acquainted 

 with the refourcesof a country town or village. 



SERJEANTY, or Seroeanty, in Law, a ferricc an- 

 ciently due to the king for lands held of him, and which 

 could not be due to any other lord. 



It is divided into grand and petit ferjeanty. 



Serjeanty, Grand, is where one holds lands of the king 

 by fervice which he ought to do in liis own pcrfon, as to 

 bekr the king's banner or fpear, afliit at his coronation, or 

 do fome office in his court. 



It was in mod other refpefts like knight-fervice, ohiy 

 he was not bound to pay aid or efcuage ; and when tenant 

 by knight-fervice paid five pounds for a relief on every 

 knight's fee, tenant by grand-ferjeanty paid one year's 

 value of his land, whether it were much or little. Tenure 

 by cornage was a fpecies of grand-ferjeanty. See CoR- 

 nage. Litt. § 153. 158. 2 Inft. 233. 



Serjeanty, Petit, is where a man holds land of the king 

 to yield him yearly fome fmall thing towards his wars, as 

 a fword, dagger, bow, fpurs, &c. in the manner of rent. 



Coke, on Littleton, tells us, that fir Richard Rockefly 

 held lands at Seaton, by grand-ferjeanty, to be vantrarius 

 regis, i. e. the king's fore-footman, when he went into 

 Gafcogne, till he had worn out a pair of fhoes of the price 

 of four-pence. 



By the ftatute 12 Car. II. all tenures of any honors, 

 manors, lands, &c. are turned into free and common focage : 

 but the honorary fervices of grand-ferjeanty ate thereby 

 continued. 



SERIES, a continual fucceflion of things in the fame 

 order, and which have fome relation or connedlion with 

 each other. 



Medals are formed mto fuites or feriefes, both with regard 

 to the metal and to the fubject. The different metals of 

 medals conftitute three different feriefes in the cabinets of 

 the curious, we mean, as to the order and arrangement of 

 the feveral metals. 



The gold feries, for inftance, of imperials, amounts to 

 about 5000; that of filver may amount to 10,000; and 

 that of brafs to 30,000. See Medals. 



With regard to the lubjeft, the feries of medals are 

 ufually formed from the fide called the head: in the firfl 

 clafs, is difpofed the feriefes of kings ; in the fecond, that of 

 Greek and Latin critics ; in the third, the Roman confular 

 families ; in the fourth, the imperial ; in the fifth, the 

 deities ; and to thefe may be added a fixth feries, confifting 

 of medals of illuitrious perfons. See Medals. 



There are alfo feriefes of modern medals : that of the 

 popes only commences from Martin V. in 1430. From 

 that time we have a feries of papal medals, tolerably com- 

 plete, to the number of five or fix hundred. 



We might likewife have a feries of emperors from Char- 

 lemagne, provided the current coins were admitted ; but in 

 pradiice they commonly commence with Frederic II. ia 

 1463. 



The feries of the kings of France is moft numerous and 

 moil confiderable of all the modern kings. See Medals. 



Series, in Analyjxs, is a fucceffion of terms, or progreffion 

 of quantities, connedled together by the figns plus and 

 minus, and proceeding according to fome law or determinate 

 relation. Such are the following. 



Ill 



■ + ^ + T + T" + 

 3 5 7 



4- &c. 



I I 



'-T + T 



Y + -/g + &- 



The former being the reciprocals of the odd numbers, and 

 the terms of the latter a geometrical progreffion, of which 

 the ratio is \. 



Series are of various forms, and arife in many different 

 ways, 33 from the expanfion of functions, the inverfe method 

 of fluxions, &c. But they very frequently arife inde- 

 pendent of any general derivation, and the objeil of en- 

 quiry is then to determine that funftion to whicii they are 

 c(]uivalent, and from the expanfion of whicli they may be 

 reproduced, or the numeral value of a certam 01 of an 

 infinite number of their tcims. 



Thus, 



