An Unabridged Reprinting Of The Original Publication Intended As A Sequel To A Treatise On Conic Sections By The Author, With Text And All Figures Digitally Enlarged. Chapters Include: Tangential Coordinates - General Properties Of Algebraical Curves - Curves Of The Third Degree - Curves Of The Fourth Degree - Transcendental Curves - General Methods (Transformation Of Curves, Geometrical Methods) - Applications Of The Integral Calculus - Notes (On Linear Transformations, On Poles And Polars By Tangential Coordinates, On Elimination, On Imaginary Points And Lines, On Curves Of Pursuit, On Obtaining Focal Properties By Inversion, On The Ultimate Involute Of A Curve) - Index