contained inihe Oval and in the Elliptic Curves, 



Fig. 18 



are placed right and left of a central perpendicular line, dividing 

 the cup in two parts ; the transverse diameters meet in one line 

 parallel to the base of the tazza ; a dotted outline expresses the 

 angular position of the handles : the concave lip of the tazza is 

 made by the same oval disk, whose transverse diameter leads to 

 the under line of the folding edge of the cup. The leg of the 

 tazza is produced by the same small disk that served for the 

 handles of the first vase. The body of the vase and the leg 

 form two equal parts; the whole upper extent ought to be 

 seven parts, so that it is seven and two * ; the width of the 

 base of the leg measures two parts, and the altitude three, of 

 the seven parts. These proportions cannot produce any other 

 than agreeable appearances, apply them as we may. 



The third vase, exhibited an Hebe 

 cup, with a handle, which presented 

 a totally different appearance in form 

 to the two previous ones. It was 

 proportioned by similar principles: 

 the larger disk made the body, in- 

 clined right and left upon the end of 

 the oval. The neck and the leg 

 were both made from the smaller 

 oval disk; the dotted lines to the 

 ovals of the leg sufficiently show the 

 fact. The handle and concave lip 

 of the cup were made by an appli- 

 cation of the same disk. The alti- 

 tude contained four parts. The body 

 two parts, the leg one part, and the 

 neck one other part; the handle 

 rises one-eighth above : every por- 

 tion of this figure is created by 

 the two disks previously named. 

 The foliage rises from below and 

 descends from above, one-fourth of the whole height of the body 



* The whole extent of the tazza, includingtheprojection of the handles, 

 should be seven parts ; and the height of the vase two of such seven 

 parts, • ' 



