## A New Branch of Mathematics: The "Ausdehnungslehre" of 1844 and Other Works |

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### Contents

Foreword to the First Edition | 9 |

Foreword to the Second Edition | 19 |

Survey of the General Theory of Forms | 33 |

Copyright | |

21 other sections not shown

### Other editions - View all

A New Branch of Mathematics: The "Ausdehnungslehre" of 1844 and Other Works Hermann Grassmann,Lloyd C. Kannenberg No preview available - 1995 |

### Common terms and phrases

according addition algebraic analysis angle appears application arbitrarily arbitrary assembly Ausdehnungslehre axes axis belonging coefficients colors combination common system concept conjunction corresponding current elements defined definition denotes dependent direction domain elementary extensive elementary factors elementary magnitudes equal equation expression extension theory extensive magnitude extensive quantities follows forces formal sum fundamental geometric given Grassmann harmonic harmonic equation harmonic mean inner product interchange intersection Leibniz likewise linear magnitudes mean magnitude motion multiple sum n-th order nearest covering system nonzero value numerical magnitudes obtains orthogonal projection outer multiplication outer product parallel parallelepiped parallelogram planar magnitude point magnitudes position principal system quotient reference measures reference system regarded regressive product relation relative system remains replaces represented respect second order shadow side similar simultaneously space spherical magnitude spherical surface straight line subordinate supplementary numbers theorem theory of forms transformed valid weights whence zero