§1 Subject and method of analytic geometry
§2 One-dimensional Cartesian space
§3 Two-dimensional Cartesian space
§4 Three-dimensional Cartesian space
§5 Sets, functions, groups 

I OINTS AND VECTORS IN CARTESIAN SPACES
II LINEAR SETS IN CARTESIAN SPACES
III RELATIONS BETWEEN HYPERPLANES IN CARTESIAN SPACES
IV POLYHEDRA AND THEIR ELEMENTARY PROPERTIES
V ISOMETRIC MAPPINGS OF CARTESIAN SPACES
VI AFFINE MAPS OF CARTESIAN SPACES
VII EXAMPLES OF PLANE CURVES
VIII EXAMPLES OF SURFACES 

IX POINTS AND LINES IN PROJECTIVE SPACES
X HYPERPLANES IN PROJECTIVE SPACES
XI THE ANHARMONIC RATIO AND PROJECTIVE SPACES
XII ALGEBRAIC FIGURES IN PROJECTIVE SPACES
XIII THE PRINCIPLE OF DUALITY
XIV MÖBIUS SPACES 

XV GENERAL PROPERTIES OF COMPLEX SPACES
XVI EQUATIONS OF ALGEBRAIC FIGURES IN COMPLEX SPACES
XVII GENERALS PROPRETIES OF FIGURES OF THE SECOND DEGREE
XVIII FOUNDATIONS OF CLASSIFICATION OF FIGURES OF THE SECOND DEGREE
XIX CLASSIFICATION OF FIGURES OF THE SECOND DEGREE