[ 81 ] 
two lowermoft of them Duellas , or Thirds of an 
Ounce ; which he rather took to be Sextnlas , or 
Sixths : I cannot but differ from both thofe Opi- 
nions, fince they make this Order of Rings to dif* 
agree with the reft of the Table. For in each of the 
other Orders the feveral Rings, differently difpofed, 
are fuited to exprefs any Number of Parts contained 
under it 5 and all of them together make one fhort 
of the Whole. Thus it is in the feveral Tdecades 5 
and the Rings for Ounces may be fo placed fepa- 
rately, as to exprefs any Number under Eleven ; and 
all of them united will make that Number, which 
falls fhort of the Ounce by one. But in thefe Parts 
of the Ounce, if the two undermoft Rings are taken 
for Thirds , they will not apart exprefs either the 
Number One or Two, nor by any Union the Num- 
ber Five 5 and, if confidered as Sixths , they will no 
way denote the Number One. And befides, in either 
Cafe, the whole Number together will exceed Ele- 
ven ; that is, one fhort of the Parts, into which the 
Ounce was divided : which being an Integral to thefe, 
as the As was to the Ounce, fuch Parts of it were 
doubtlefs defigned to be given here, as would corre- 
fpond with the reft of the Table, in the Manner already 
explained. I apprehend therefore, that the two lowed 
Rings were intended for what Volufius Maecianus calls 
dimidias S 'ex tula s, and c Duodecimas ( a ) ; that is, 
the Twelfths of an Ounce ; which, with the other 
two above them, will exprefs any Part of the Ounce 
from One to Eleven, and fo render the whole Table 
confiftent with itfelf. 
( a) See Gronov. De Sejlertiis , p. 397. 
L 2 
But 
