This text begins with the simplest geometric manifolds, the Grassmann determinant principle for the plane and the Grassmann principle for space; and more. 141 figures.. 1939 edition.
Concludes with a systematic discussion of Geometry and its foundations.
Also explores affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary.
This text begins with the simplest geometric manifolds, the Grassmann determinant principle for the plane and the Grassmann principle for space; and more