CONTENTS. 



Pag-e 



§ 7- 



§ 8. 



§ 9- 



§ lo. 



§ II. 



§ 12. 



§ 13- 



§ 14. 



§ f5- 



§ 16. 



Introduction 



Preliminaries 



Remarks concerning; the vector product and the reciprocal vector svstem 



The space complement 



Invariance with regard to orthogonal transformations of coordinates 



The space complement regarded as a function of the indeterminate product of its 



vectors 



The space complement of a determinant of the form 



Hi Hi a/) 



Ü1 Û2 



ap 



13 



16 



19 



Ol Uo ap 



A generalization ot the expansion for the vector triple product 



Expressions of the form 1 f/ X f, and I e,- X f,-. The symmetric differences of a 



matrix 



The reciprocal system and the „Ergänzungen" of a given set of vectors 



The space complement of the Ergänzungs-dyadic 



A theorem of the symmetric differences of a matrix 



Application to Cramer's Rule 



Miscellaneous Formulae 



The skew-symmetric dvadic (tensor) of two vectors expressed as a space complement 

 Remarks concerning the divergence and the curl 



27 

 31 

 34 

 36 

 40 



43 

 46 



49 



