C l20I ] 
^^^^^ anfwering to the Radius fo divided, 
are "j 5 Ttaking S in Arithmetical progrelUon.) 
yp. And then, inlarging the Bale fas in Fig. g.) or 
the Tangent (asinFig. p.) J^^i proportion of the Tan« 
gent to the Sine. 
60» We have (by divifion) this Series, 
R!SMSR* rS,4i, 4^ 4 
+ ■*T6 ^R8 
6i. Thac is rputtingR=:ij 4s'~ 
6t. Which rmultiplying the 
relpeftive members by i S, j 4. ^ - 1^ 
JS, IS, « S,&c J becomes — — 
Which is the Aggregate of Tangents to the Arch who's 
right Sine is S. 
63, And this method may be a pattern for the like 
procefs in other cafes of like nature, 
An Explanation of the Figures of Several Anti- 
quities^ communicated by a Member^?/ /i?^ Royal 
^'ociety. 
F IG. 10, II, 12, 13, 14, If, l^sTurpicuJce, or Pri- 
api, worn by Roman Children againft Fafcination, 
16. An Egyptian brafs Serapis^ or Terapbim. 
1 7» A brafs Stilus Scriptorium. 
K k k 2 18, Old 
