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Table of Contents

Book II.- I On Curves in General.- II On the Change of Coordinates.- III On the Classification of Algebraic Curves by Orders.- IV On the Special Properties of Lines of Any Order.- V On the Second Order Lines.- VI On the Subdivision of Second Order Lines into Genera.- VII On the Investigation of Branches Which Go to Infinity.- VIII Concerning Asymptotes.- IX On the Species of Third Order Lines.- X On the Principal Properties of Third Order Lines.- XI On Fourth Order Lines.- XII On the Investigation of the Configuration of Curves.- XIII On the Disposition of Curves.- XIV On the Curvature of a Curve.- XV Concerning Curves with One or Several Diameters.- XVI On Finding Curves from the Properites of the Ordinate.- XVII On Finding Curves from Other Properties.- XVIII On the Similarities and Affinities of Curves.- XIX On the Intersection of Curves.- XX On the Construction of Equations.- XXI On Transcendental Curves.- XXII On the Solution to Several Problems Pertaining to the Circle.- I On the Surfaces of Solids.- II On the Intersection of a Surface and an Arbitrary Plane.- III On Sections of Cylinders, Cones, and Spheres.- IV On the Change of Coordinates.- V On Second Order Surfaces.- VI On the Intersection of Two Surfaces.- Figures.