contained in the Oval and in the Elliptic Curves, 7 



is created. It may be easily converted into foliage, and can 

 be amazingly varied in principle, by having fewer ovals, and 

 making them revolve upon an arm or continuation of a line 

 from the transverse diameter. Fig, 15 is the same diagram, 



Fig,l5. 



with all the oval lines described, which forms a figure of ele- 

 gant intricacy ; each member, or curvilinear subdivision, as^ 

 sumes a most agreeable shape : the whole, at the first sight, does 

 not carry the evidence of being generated from the same disk. 

 These agreeable figures may be varied to an extraordinary ex- 

 •tent : the two that were presented were mere examples of some 

 X)f the numerous changes that any given oval disk may create. 



The objects next presented, were three vases of very dis- 

 similar appearance, all produced from the same diagram 

 of the oval ; each in a separate drawing. The first was like a 

 Greek vase with handles ; its character established by employ- 

 ing certain proportions of quantities, in seven parts. The 

 body has four parts, the foot or pedestal one ; the neck two. 

 The handles were l-egulated in the position and projection by 

 lines drawn from the bottom of the vase, through the ovals 

 which compose the outline of the two sides ; and passing 

 through the transverse diameter. These handles were made 

 from an. oval that was the length of half the line of the 

 ^transverse diameter, Fig. 16. The skeleton of angles that 



