14- jMijcellanea Curio fa. 



fvvering to the Circumfcribed,) is too Great, 

 (which is that he follows : ) And it would be 

 nearer to the Truth than either, if (omitting 

 all thefe) we take the intermediates ; for Min. 

 & ; : J.V^.|i 3i 5 i^fi or (the doubles of thefe) 

 Min. 1, 3, 5, 7, &c Which yet (becaufe on 

 the Convex fide of the Curve) would be fome- 

 what too Little. 



28. But any of thefe ways are exaS enough 

 for the ufe intended, as creating no fenfible 

 difference in the Chart. 



29. If we would be more exact } Mr. Ovgh- 

 m^dire&s (and fo had Mr. Wright done be- 

 fore him) to divide the Arch into parts yet 

 fmaller than Minutes, and calculate Secants 

 fuiting thereunto. 



30. Since the Arithmetick of Infinites intro- 

 duced, and (in purfuance thereof) the Doctrine 

 of Infinite feries (for 1'uch cafes as would not, 

 without them, come to a determinate propor- 

 tion ; ) Methods have been found for fquaring 

 fbme fuch Figures \ and (particularly( the Ex- 

 terior Hyperbola (in a way of continual ap- 

 proach j by the help of an Infinite feries. As, 

 in the Philofophical Tr an 'factions, Numb. 38, (for 

 the Month of Anguft, i66$ 7 ) And my Book, 

 De Motu, Cap. 5 . Prop. 3 1 . 



31. In Imitation whereof, it hath been deli- 

 red (I find J by fome, that a like Quadrature 

 for this Figure of Secants (by an Infinite feries 

 fitted thereunto J might be found. 



32. In order to which, put we for the Radi- 

 us of a Circle, R •, the right Sine of an Arch 

 or Angle, S, the Verfed Sine ; V, the Co-Sine 

 (or Sine of the Complement) s =f= R-V=V: 

 Rq-Sq : the Secant, f i the Tangent, T. Fig. 



33. Then 



