| Colin MacLaurin - 1756 - 480 σελίδες
...we gave> for the involution of binomials will ferve alfo for their Evolution ;" becaufe to extract any root of a given quantity is the fame thing as...that 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,... | |
| Isaac Newton - 1769 - 638 σελίδες
...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...Number which exprefles the Name of the Root to be extrafted (78). tity i6a* — z^aaxx + 9*4 -f. •+ 46* is 3** — 4<z« 4. 2^, as may appear bythe... | |
| Colin MacLaurin - 1771 - 484 σελίδες
...which we gave for the Involution of binomials will ferve alfo for their Evolution ;" becaufe to extract any root of a given quantity is the fame thing as...that quantity to a power whofe exponent is a fraction that has unity for its numerator, and the number that exprefles what kind of root is to be extracted... | |
| Colin MacLaurin - 1779 - 610 σελίδες
...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 quantity to a power whofe exponent is a fraction that has unity for its numerator, and the number that txprefles what kind of root is to be extracted... | |
| John Mole - 1788 - 346 σελίδες
...gieater than 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...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... | |
| Colin MacLaurin - 1796 - 556 σελίδες
...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... | |
| |