Elementary Mathematics from an Advanced Standpoint - Geometry

Translated form the third German edition by E.R. Hedrick and C.A. Noble
Part 1. The Simplest Geometric Manifolds
I. Line-Segment Area Volume as Relative Magnitudes
II. The Grassmann Determinant Principle for the Plane
III. The Grassmann Principle for Space
IV. Classification of the Elementary Configurations of Space According to their Behavior under Transformation of Rectangular Coordinates
V. Derivative Manifolds

Part 2. Geometric Transformations
I. Affine Transformations
II. Projective Transformations
III. Higher Point Transformations
IV. Transformations with Change of Space Element
V. Theory of the Imaginary

Part 3. Systematic Discussion of Geometry and Its Foundations
I. The Systematic Discussion
II. Foundations of Geometry