Universal arithmetick: or, a treatise of arithmetical composition and resolution. To which is added, Dr. Halley's method of finding the roots of aequations arithmetically / Translated from the Latin by the late Mr. Raphson, and revised and corrected by Mr. Cunn.

  • Newton, Isaac, 1642-1727. Arithmetica universalis. English
Date:
1720
Catalogue details

Licence: Public Domain Mark

Credit: Universal arithmetick: or, a treatise of arithmetical composition and resolution. To which is added, Dr. Halley's method of finding the roots of aequations arithmetically / Translated from the Latin by the late Mr. Raphson, and revised and corrected by Mr. Cunn. Source: Wellcome Collection.

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    A New, Exact, aud Ea[y Method, of find- ing tbe Roots of any Aquations Generally, and that without any previous Reduttion. By Edm. Halley, Savilian Profeffor of Geo- metry. [Publiff d in tbe Philofophical Tran(-. actions, Numb. 210. A. D. 1694.] semen HE principal Ufe of the Analytick Art, is to esee bring Mathematical Problems to /Equations, 25r and to exhibit thofe Aiquations in the moft Bese, fünple Terms that canbe, Butthis Art would Heo juftly feem in fome Degree defective, and not fufficiently Analytical, if there were not fome — Methods, by the Help of which, the Roots (be they Lines or Numbers) might be gotten from the Aiquations that are found, and fo the Problems in that refpe&t be folved, The Antients fcarce knew any Thing in thefe Matters beyond Quadratick Equations. And what they writ of the Geome- trick Conftru&ion of folid Problems, by the Help of the Parabola, Cifloid, or any other Curve, were only particular Things defign'd for fome particular Cafes. But as to Nu- merical Extraction, there is every where a. profound Silence ; fo that whatever we perform now in this Kind, is entirely owing to the Inventions of the Moderns, And firft of all, that great Difcoverer and Reftorer of the Modern Algebra, Francis Viera, about 100 Years fince, Íhew'd a general Method for extracting the Roots of any /E- quation, which he publifh'd under the Title of, A Nameri- cal Refolution of Powers, Sc, Harriot, Oughtred, and others, as well of our own Country, as Foreigners, ought to acknow- ledge whatfoever they have written upon this Subje&, as taken from Viera. But what the Sagacity of Mr. JV-wton’s Genius has perform'd in this Bufinefs we may rather conjee Gure (than be fully affur'd of) from thai fhort Specimen | re fld MESES Bic giver
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