i 5 ^ jMfifcellanea Curio fa. 



is . — , depends upon the Quadrature 

 \l rr> — xx 



of the Circle. For if on the Center C, and 

 the Radius CA- r, the Circle AEG be de- 

 fcrib'd, and taking CD— x, DE be erected 

 perpendicular to CD, and CE be drawn ; 

 then the Se&or CAE divided by \ rr^ is 

 equal to the Area of the Curve, whofe Or- 



0 



x ' ' \ 



dinate is — In like manner, (Fig. 2 i.) 



\l rr> — xx 



if on the Center C, and the Semitranfverfe/ 

 Axis CA=r, the Equilateral Hyperbola EAM 

 be defcrib'd, then drawing CF perpendicu- 

 lar to CA, equal to x^ FE parallel to the 

 Axis till it meets the Hyperbola in E, and 

 pin CE } then the Hyperbolical Seftor ACE 

 divided by } tt, is equal to the Area of the 



X 



Curve, whofe Ordinate is 



\J rr-\~xx 



COROL IV. 



If m be expounded by any Term diffe- 

 rent from the foregoing, then the Curve, 



m 

 x 



whofe Ordinate is «, is neither ex- 



actly 



