XVII] THE COMPARISON OF RELATED FORMS 729 



network in various ways, several of which are very simple indeed. 

 Thus ( I ) we may alter the dimensions of our system, extending 

 it along one or other axis, and so converting each little square 

 into a corresponding and directly proportionate oblong (Fig. 353). 

 It follows that any figure which we may have inscribed in the 



Y .— ^ — =^ . , y. 





,-o 



Fig. 352. 



O Xi 



Fig. 353. 



Fio;. 354. 



Fig. 355. 



original net, and which we transfer to the new, will thereby be 

 deformed in strict proportion to the deformation of the entire 

 configuration, being still defined by corresponding points in the 

 network and being throughout in conformity with the original 

 figure. For instance, a circle inscribed in the original " Cartesian "' 

 net will now, after extension in the y-direction, be found elongated 



