The Method of Fluxions and Infinite Series; with Its Application to the Geometry of Curve-lines. By the Inventor Sir Isaac Newton... Translated from the Author's Latin Original Not Yet Made Publick. To which is Subjoin'd, a Perpetual Comment Upon the Whole Work, Consisting of Annotations, Illustrations, and Supplements, in Order to Make this Treatise a Compleat Institution for the Use of Learners. By John Colson
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Abſciſs AFDB aﬀected aﬃrmative aggregate Series alſo Area ariſe aſcending aſſume becauſe caſe Coeﬃcients common diﬀerence conſequently conﬅant Conﬅruction converge converging Series correſponding Curvature Curve decreaſe Demonﬅration deſcending deſcribed Dimenſions diſpoſed diﬅance Diviſion eaſily eaſy equal expreſs'd extracted ﬁnd ﬁnding ﬁnite ﬁrﬅ Term ﬂowing Wantities Fluents ﬂuxion Fluxional Equation Fraction given Equation greateﬅ Hyperbola increaſe indeﬁnite inﬁnite Series inﬅance inﬅead juﬅ laﬅ Laﬅly leaﬅ leſs likewiſe Method of Fluxions moﬅ multiply'd muﬅ neceſſary Numbers obſerved Ordinate Parabola Parallelograms perpendicular pleaſe preſent Prob Progreſiion propoſed quantity ratio Relation repreſent Reſolution reſolved reſpectively reﬅ reſulting right Line ſame Scale ſecond Term ſee ſet ſeveral ſhall ſhew ſhould ſimple ſince ſmall ſome ſquaring ſſ ﬅand ﬅill ſubﬅitute ſuch ſuﬃcient ſuppos'd ſuppoſe taking the Fluxions Tangent thence Theorem theſe third Term thoſe tion uſe vaniſhing Velocity Wantities whence whoſe