f. And, if they began with the Greateft (^and there- 
fore negleded the left, ) fuch- Figure was Circumlcri- 
bed (as Fig. i.) and therefore Bigger than the Curvili- 
near propoled. 
6. If with the Left ( neglecting the greateft s ) the 
Figure was fnfcribed /as Fig. 2.) and therefore Lefs 
than that propofed* 
7. But, as the numbjer of Segments was increafed , 
^and thereby their breadths diminifhed;) the difference 
of die Circumfcribed from the Infcribed (and there- 
fore of either from that propofed) did continually de- 
creafe, fo as at laft to be lefs than any afligned. 
8. On which they grounded their Method of ck- 
liauftions. 
p. In cafes wherein the Breadth of the Parallelo- 
grams, or Intervalls of the Parallels, is not to be confi- 
dered, but their length only; (or, which is much the 
fame, where the Intervalls are all the fame, and each 
reputed =1:) Archimedes ( inftead of Infcribed and 
Circumfcribed Figures) ufed to fay, All except the 
Greateft ^ zxiA. Ml except the Left. As Prop. ii. Lin. 
Spiral. 
Particular Cafe. 
10. Thpugh it be well known, that, in the Terre* 
ftrial Glebe, all the Meridians meet at the Pole, ( as 
E E P^ Fig. S') whereby the Parallels to the Equa- 
tor, as they be nearer to the Pole, do continually de- 
creafe: 
11. And hereby a degree of Longitude in fuch Pa- 
rallels, is lefsthana degree of Longitude in the Equa- • 
tor, or a degree of Latitude: 
1 2. And that, in fuch proportion, as is the Co-Sine 
of Latitude (^which is the femidiameter of fuch Paral- 
lel; to the Radius of the Globe, o!rof|he Equator : 
13. Yet hacb it been thought fit (for fome reafonsj 
to reprelent thefe Meridians, in the Sea-Chart, byPa- 
^-illclftreight lines i as Ep. 14. Where- j 
