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 A L L I G 4 of rum, and 4 of gin. But the queftion limits the quantity of brandy to 40 gallons ; therefore fay, If 5 : 4 :: 40 : 32 The quantity of gin, by the operation, being alfo 4, the proportion needs not be repeated. Variety III. When the queflion is limited to a certain quantity of the mixture, this is called Alligation Total. After linking the branches, and taking the differences, work by the proportion following, As the fum of the differences. To each particular difference; So the given total of the mixture, To the refpedtive quantities required. Examp. A vintner hath wine at 3 s. per gallon, and

A T I O N. 123 would mix it with water, fo as to make a compofition.of 144 gallons, worth as. 6d. /rr gallon: How much wine, and how much water muff he take ? Cal. 5 06,30 120 of wine. 7 j J* £ oy 6 24 of water. 3 36 144 total. 120 X 36 = 4320 24 X o = o Proof 144)4320(30 As 36 : 30 :: 144 : 120 As 36 : 6 : : 144 : 24 There being.here only two fimples, and the total of the mixture limited, the queftion admits but of one anfwer.

ALL ALLIGATOR, in zoology, a fynonime of thelace-ta crocodilus. See Lacerta. ALLIGATOR-/><?rf>-, in botany. See Pyrus. ALLIONIA, in botany, a genus of the.tetrandria monogynia clafs. The characters of which are : The common calix is oblong, limple, and three flowered ; the proper calix is above the fruit, and obfolete; the corolla is irregular; and the receptacle without a. ny covering. There are only two fpecies of the allionia, viz. the violacea, and incarnata, both natives of America. ALLIOTH, a ftar in the tail of the greater bear, much ufed fqr finding the latitude at fea. ALLIUM garlick, in botany, a genus of the hexandria monogynia clafs. The characters are : The corolla is open, and divided into fix parts; the fpatha is multiflorous ; the capfule is above the flower; and the flowers are in the form of an umbell. There are no Jeis than 37 fpecies of the allium, only five of which, viz. the ampeloprafum, or great round-headed garlick; the arenarium, or abroad-leaved mountain-garlick ; the vineale, or crow-garlick; the oleraceum, or wild garlick with 3n herbaceous ffriated flower; and the urfinum, or ramfon, are natives ot Britain. Allium is a powerful diuretic, and, along with honey, has good effefts in-affhmas. ALLOA, a port-town of Scotland, fituated on the river Forth, remarkable for the coal-mines in its neighbourhood. W. long. 30 45', N. lat. 56° io ALLOCATION denotes the admitting or allowing of an article of an account, efpecially in the exchequer. Hence, Allocatione facienda is a writ directed to the lord treafurer, or barons of the exchequer, commanding them to allow an accountant fuch films as he has lawfully expended in the execution of his office. ALLOCATjP cotnita. u, a new writ of exigent allowed, before any other county court held, on-a former not being complied with. See Exigent.

ALL ALLOCUTION, in Roman antiquity, denotes an ha» rangue made by a general to his army, frequently mentioned on ancient medals. ALLODIAL goods, in Scots law, are fuch as are enjoyed by the owner, independent of any other. Lands are likewife faid to be allodial, when they are held without the neceflity of acknowledging a fuperior. See Law, title, Conjlitution of heritable rights. ALLODIUM, or Alleud, denotes lands which are the abfolute property of their owner, without being obliged to pay any fervice or acknowledgement whatever to a fuperior lord. sALLOGIA, a term found in old writers on military affairs, for winter-quarters. ALLOM. See Alum. ALLONGE, in, fencing, denotes a thruft or pafs at the adverfary. See Pass. ALLOPHYLLUS, in botany, a genus of the oCfandria monogynia clafs. The characters are : The calix is four leaved; the leaves are globular; the flower confifts of four petals, lefs than the calix; and the ftigma is forked. There is only one fpecies, which » is found in Zeylon. ALLOTTING, or Allotment of goods, in commerce, is the dividing a {hip’s cargo into feveral parts, which are to be purchafed by feveral perfons, whofe names being written upon as many flips of paper,* are applied by an indifferent perfon to the feveral lots; by which means the goods are divided without partiality, each man having the parcel upon which his name is fixed, ALLOWANCES, at the cuftom houfe, to goods rated by weight, are two, viz. draught and tare. See Draught and Tare. ALLOY, or Allay, a proportion of a bafer metal mixed with a finer one. Thus all gold coin has an - alloy of filver and copper, as filver coin has of copper alone ; the proportion in the former cafe, for ftandard gold, being two carrats of alloy in a pound troyldof . g° ;