A treatise of algebra, in three parts. Containing

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is found by multiplying by the progression

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tities oum ea furnis a determinate soliationos a problem.

CHA P. XII.

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Let ri an index equa is η, orareater than

plied by B, the sum filiose of the exponent W- 3 mulit plied by Q and so on. I remainscio inesthe sum of the powers of the more, hemine exponent are lese than nisi

Is, is es thanis, andi besthe coeffcient in the quation, of the diisensereri; that is, is IIbe ahen se that the number os term precedo inscit in the equation besequat to , O the num. bes

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Whenrmn - 2 the demonstrario is

tion stat be respectives equa to the recipr calf 7, a, c. of the oot of the m equation. Divide no the original quatio by Vandin the quotient substitute sor, in more λα c. siccessively, se statryo have

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hy annexing the symbol of the sat roo withthe signis in an unus to the symbol, a G, file coefficient thus G ἔ and is, denote the remaining portio of the fame Oefficient, stom,hic the fame motis is totali abstat, by annexing the symbol of theseid mot with the

essicient thus mill appea that is G be any coemient ata, the ollowing c efficient

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. . . .

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Compare this last conclusion Min tha ,hicbsollowedio dividing the pri sed equation , ' an substitutinisor a: the risu a, b, c, c. an mu Will have Mich viis tole demonstrared.