The Imaginary in Geometry 



19 



measured along the line as axis from any point thereof as origin. 



Nor is the construction of the complex distance from a real 



point to a red vector K at all difficult. This is shown in fig. 



19. The distance is d = d' -\- id", where of course d' and d" are 



measured in the same direction. Thus the distance to the vector 

 K is the same as that to the vector D. The construction of the 

 distance from a vector K to a vector M is given in fig. 20. The 



f 



Fig. 20. 



distance is the same as that from O to N. The paradox is to be 

 noted that although the distance from O to K is nothing, yet the 

 distance 0.1/ differs from the distance KM. 



19 



