...of the Quantity y* -j- 4^' _. is у у + 2y — 2 ; and the Root of the Quantity becaufe to extraft any Root of a given Quantity, is the fame Thing as...Quantity to a Power, whofe Exponent is a Fraction which has its Denominator equal to the Number which exprefles the Name of the Root to be extraaed (78),...

...cube root of be found to be vô ev9 iriv11 * , 5* IOX i 2430» ; §56. " The general Theorem which we gave for the Involution of binomials will ferve...quantity to a power whofe exponent is a fraction that has its denominator equal to the number that exprefles what kind of root is to be extracted. Thus, to extract...

...Quantity y* -f- 4^' — . 8.У + 4 is у у + г у — 2; and the Root of the Quantity becaufe to extrañ any Root of a given Quantity, is the fame Thing as...Quantity to a Power, whofe Exponent is a Fraction which has its Denominator equal to the Number which exprefles the Name of the Root to be extrafted...

...which we guve for the Involution of binomials will ferve alfo for their Evolution;" becauie to extiaft any root of a given quantity is the fame thing as...that has unity for its numerator, and the number that txprefles what kind of root is to be extracted for its denominator. Thus, to extra.él the ' fquare...

...хг. But thefe Surds may be more expeditioufly extracted by the Binomial Theorem ; for to extraft any Root of a given Quantity is the fame thing as...raife that Quantity to a Power whofe Exponent is a Fradtion ; the Numerator of the Exponent mews the Power? and its Denominator exprelfes what kind of...

...gave for the Involution of binomials will ferve alfo for to Evolution- becaufe to S± root of a glven quantity is the fame thing as to raife that quantity to, a power whofe ex ponent « a fradion that ha, Unity for ?t¡ numerator, and the number that exprefle what kind of...