ANALYTICS

ANALYTICS, Analytica, the Doctrine, and Use of Analyses. See ANALYSIS. The great Advantage of the present Mathematics above the ancient, is chiefly in Point of Analytics. The Authors on the ancient Analytics, are enumerated by Pappus, in the Preface to his 7th Book of Mathematical Collections; being, Euclid, in his Data, and Porismata; Apollonius, de Sectione Rationis; Apollonius, in his Conics, Inclinations, and Tactions; Aristaeus, de Locis Solidis, and Eratosthenes, δε μέσοις προπορτιονάλοις (de mediis proportionalibus). But the ancient Analytics were very different from the modern. To the modern Analytics, principally, belong Algebra; the History of which, with the several Authors thereon, see under the Article ALGEBRA. The chief Writers upon the Analytics of Infinites, are its Inventors, Sir Isaac Newton, in his Analysis per Quantitatum Series, Fluxiones & Differentias, cum enumeratione Linearum Tertii Ordinis; and de Quadratura Curvarum: and M. Leibniz, in Act. Erudit. An. 1684: The Marquis de l'Hôpital, in his Analyse des Infiniment petites, 1696: Carre, in his Methode pour la mesure des Surfaces, la dimension des Solides, &c. par l'application du calcul intégral, 1700: G. Manfredi, in a posthumous Piece, de Constructione Aequationum differentialium primi gradus, 1707: Nich. Mercator, in Logarithmotechnia, 1668; Cheyne, in Methodo Fluxionum inversa, 1703; Craig, in Methodo figurarum lineis rectis & curvis comprehensarum Quadraturas determinandi, 1685; and de Quadraturis figurarum curvilinearum & locis, &c. 1693: Dav. Gregory, in Exercitatione Geometrica de dimensione figurarum, 1684; and Newton, in Considerationibus circa Analysis ad quantitates infinitesimas parvas applicatae, principia, 1695. The Sum of what is found in l'Hôpital, Carre, Cheyne, Gregory, and Craig; is collected into one Volume, and very well explained by C. Hayes, under the Title of, A Treatise of Fluxions, etc. 1704.



ANALYTICS, in Logic, is a Part of that Science, teaching to decline and construe Reason, as Grammar doth Words.

ANALYTICS