Under the general heading "**Geometry**" occur the subheadings "Foundations," with the topics principles of **geometry**, non-Euclidean **geometries**, hyperspace, methods of analytical **geometry**; "Elementary **Geometry**," with the topics planimetry, stereometry, trigonometry, descriptive **geometry**; "**Geometry** of Conics and Quadrics," with the implied topics; "Algebraic Curves and Surfaces of Degree higher than the Second," with the implied topics; "Transformations and General Methods for Algebraic Configurations," with the topics collineation, duality, transformations, correspondence, groups of points on algebraic curves and surfaces, genus of curves and surfaces, enumerative **geometry**, connexes, complexes, congruences, higher elements in space, algebraic configurations in hyperspace; "Infinitesimal **Geometry**: applications of Differential and Integral Calculus to **Geometry**," with the topics kinematic **geometry**, curvature, rectification and quadrature, special transcendental curves and surfaces; "Differential **Geometry**: applications of Differential Equations to **Geometry**," with the topics curves on surfaces, minimal surfaces, surfaces determined by differential properties, conformal and other representation of surfaces on others, deformation of surfaces, orthogonal and isothermic surfaces.