4 3 . That is,EquivaIent to the portions of the Tcangenti 
of jtatitude. 
44, And thefe portions of Tangents are, to the Equal in- 
tervalls in the bafe,as the Tangent(ofLatitude) to its Sine» 
4^. To find therefore the true Magnitude of the Pa« 
railelograms (or fegments of the Figure; )we muit either 
protradt the equal legments of the bale Fig. 7. (iu fucli 
proportion as is the refpedive Tangent to theSinej to 
make them equal to thofe of Fig. g. 
4<5. Or elfe (which is equivalent^ retaining the equal 
intervalls of Fig. 7. protrad: the Secants in the fame 
proportion. (For, either way, the Intercepted Redangles 
or Parallelograms will be equally increafed^ As LM^ 
Fig. 9. 
47. Namely 5 As the Sine (of Latitude) to its Tangent; 
fo is the Secant, to a Fourth which is to ffand (on the 
Radius equally divided; inftead of that Secant, 
S.^(.vS.R).v^f. ?i^- = LM, Fig. 9/ 
45. Which therefore are as the Ordinates in ("what I call 
Arith^ Infin. Prop, 104.^ T^eciproca Sectmdanorum : iw^^o- 
ing sHobe fquares in the order of Secundanes. 
49.This(becaufeof ^ 
2'=R^ — S^; and the Sines S, +S'R.^ 
in Arithmetical Prcgreffion J 
is reduced(by divilion) into this 4-^ 
Inhnire Series 4F'r1 
50. That is, r putting R= I •) ■ 
I 48^+5^4 S^ &c. 
51. Then (accordiug to the ^miwf^/c^of Infinites) 
' R k k w«. 
