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An Introduction to the Doctrine of Fluxions (Classic Reprint)
Ingen forhåndsvisning tilgjengelig - 2017
A M P L E a-Hz abſciſs AC abſciſs AC=x alſo Area aſymptote axis baſe becauſe circle coincide conſequently conſidered Conſtruction Convex Superficies creaſe curvilineal ſpace Cycloid degree of velocity deſcribed diameter diſtance draw the right drawn E x A M P L E equal and parallel equation Ex A M P L E expreſs expreſſion faſter find the Fluent find the point firſt term flow fore Fraćtion greateſt Hence increaſe Increment indefinite right line indefinitely ſmall Infinite Series leaſt leſs likewiſe little right line Logarithm Maximum muſt negative ordinate CB ordinate CB=y poſſible progreſſion R U L E Radius of Curvature reëtangle reſpectively right line perpendicular ſaid ſame Second Fluxion ſemicircle ſeries ſhall ſhews ſide ſimilar ſince ſquare ſubſtituted Subtangent ſuch ſum ſuppoſed indefinitely Tangent theſe uſed whoſe xion
Side 188 - JJ/xJV; hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers.
Side 215 - Tranflated from the Author's Latin Original, not yet made public. To which is fubjoined, a Perpetual Comment upon the whole Work. By JOHN COLSON, MA and FRS Quarto.
Side 214 - the Operations, with fome of the Ufes and Applications of that admirable Method : According to the Scheme prefixed to his Traft of Quadratures, by ( its firft Inventor ) the incomparable Sir Ijaac Newton.
Side 153 - Since the fluxion of the logarithm of any quantity is equal to the fluxion of that quantity divided by the...
Side 5 - However, as the point b is continually nearer to a coincidence with the Tangent...
Side 200 - Now, it is evident, that, at the point of Inflection, the Radius of Curvature muft be Infinité; or, that, on one fide of...
Side 217 - DOCTRINE of FLUXIONS ; not only explaining the Elements thereof, but alfo its Application and Ufe in the feveral Parts of Mathematics and Natural Philofophy.