SCIENCE ABSOLUTE OF SPACE. 37 



if it were established that I does not exist, 

 then ( 31), (e. g.) from the sides x, y> and the 

 rectilineal angle they include being given in a 

 special case, manifestly it would be impossible 

 in itself and by itself to solve absolutely the 

 triangle, that is, to determine a priori the 

 other angles and the ratio of the third side to 

 the two given; unless X, Y were determined, 

 for which it would be necessary to have in 

 concrete form a certain sect a whose A was 

 known; and then i would be the natural unit 

 for length (just as e is the base of natural 

 logarithms). 



If the existence of this i is determined, it 

 will be evident how it could be constructed, 

 at least very exactly, for practical use. 



IV. In the sense explained (I and II), it is 

 evident that all things in space can be solved 

 by the modern analytic method (within just 

 limits strongly to be prdised). 



V. Finally, to friendly readers will not be 

 unacceptable; that for that case wherein not I 

 but S is reality, a rectilineal figure is con- 

 structed equivalent to a circle. 



34. Through D we may draw DM II AN in 

 the following manner. From D drop DB J_ AN ; 

 from any point A of the straight AB erect AC 

 IAN (in DBA), and let fall DC1AC. We 



