This text begins with the simplest geometric manifolds, the Grassmann determinant principle for the plane and the Grassmann principle for space; and more. Also explores affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. Concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures.Pseudo geometry 185. Quaternion 47. 52. Radii, reciprocal Geometry of transformations by - - 98-102, 132. Group of transformations by - a 133. Ratio of segments 6, 93. - - - as affine magnitude 146. Rays, system of 61. Reciprocalanbsp;...

Title | : | Elementary Mathematics from an Advanced Standpoint |

Author | : | Felix Klein |

Publisher | : | Courier Corporation - 2012-02-10 |

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