11 



I In- dill. Tent ways in which the con^ruency mentioned ;i|>j.. 

 detei mines the symmetry-properties characteristic for the -teimine- 

 tucal li^uie, and with them, the whole symmetry-character of it is 

 -iven .it the same time. 



The complete set of symmetry-properties of every figure nniM 

 thus be found out, before we can say what its particular symmetry- 

 chaiacter really is. As we shall see later, however, not every arbitrary 

 inhibition of such symmetry-properties can occur in any special 

 ise ; if present together, they are evidently in some way connected 

 id dependent of each other. In the next chapter, therefore, we 

 see in what way symmetry-properties can be generally defined, 

 id what is the special mutual dependency of them, if more of them 

 re simultaneously present. 



ien". Indeed, reflection in a mirror will preserve the original relations and 

 listances of the different points to each other also in the mirror-image. This 

 easily be demonstrated. 



