Tracts on the Resolution of Affected Algebräick Equations by Dr. Halley's, Mr. Raphson's, and Sir Isaac Newton's, Methods of ApproximationJ.Davis and sold by J. White, 1800 - 479 pages |
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Tracts on the Resolution of Affected Algebräick Equations by Dr. Halley's ... Francis Maseres Affichage du livre entier - 1800 |
Tracts on the Resolution of Affected Algebräick Equations by Dr. Halley's ... Francis Maseres Affichage du livre entier - 1800 |
Tracts On the Resolution of Affected Algebräick Equations by Dr. Halley's ... Francis Maseres,Edmond Halley,William Frend Aucun aperçu disponible - 2022 |
Expressions et termes fréquents
abfolute term affected equations affirmative roots Algebra alſo becauſe binomial compound quantity 14,937 confequently cubick equation decreaſe degree of exactneſs difcover divifion equa equation x3 equations by approximation exact expreffion faid compound quantity faid equation fame fecond near value feven fhall fhewn fifth root fign fimple equation fince firft firſt fome fomewhat foregoing fquare fquare-root FRANCIS MASERES fubftitution fubtracting fuch fuppofe fuppofition ƒ³ given number Halley Halley's method increaſe inſtead inveſtigation laft leaft root leaſt lefs left-hand fide leſs method of approximation method of refolving muſt nearly equal Newton's method obtained proceed px² quadratick equation quadrinomial quantity Raphfon's method real and affirmative reaſonings refolution refult ſaid ſhall Sir Ifaac Newton's ſubſtitute thefe theſe tion Tract trinomial quantity true value unknown quantity uſe
Fréquemment cités
Page 349 - Clairaut, in that Part of his Elements of Algebra in which he endeavours to prove the Rules of Multiplication laid down by Writers on Algebra concerning Negative Quantities.
Page 245 - equation has as many roots as there are units in the index of the higheft power of the
Page 292 - Roots of any Equations Generally., and that without any
Page 357 - equation has as many roots as there are units in the index of the
Page 285 - OBSERVATIONS ON MR. RAPHSON's METHOD OF RESOLVING AFFECTED EQUATIONS OF ALL DEGREES
Page 3 - yet, do the bufinefs: for it does at leaft Quintuple the given Figures in the Root; neither is ■ the Calculus very large or
Page 26 - by one Multiplication and two Divifions, which otherwife would require three Multiplications and one Divifion. Let us take now one Example of this Method, from the Root (of the
Page 20 - of a, the Sign of se (and confequently of the prevailing Parts in the compofition of it) will always be contrary to the Sign of the difference b. Whence
Page 307 - 155.*.? = 10,000. But that this may appear the more clearly, I will now repeat the foregoing refolution of this equation in the ftyle and manner of Mr. Raphfon, by omitting the feveral reafonings fet forth in the foregoing articles, and making ufe of a Canon, or Theorem, for the purpofe of computing the
Page 355 - Root of an Equation that has more than One real and affirmative Root. [Reprinted from the Third Volume of the