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Foreword to the First Edition
Foreword to the Second Edition
Survey of the General Theory of Forms
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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