a 54 Mifcellanea Curiofa. 



Quadrable Area fitting this AbfcifTe, jtk* 

 Area = V : vtf* 4 — x V ~ -|- 



Example IIL 



^y 2 



Let x == — *, In this Cafe r = — 

 therefore a 4*WZrl f~* is the Term laft 



breaking off, therefore 1 h whence by 

 Infinite Series, will ABD == 



And confequently, if (by Note 4.) you take 

 y p- \/^— , there will arife a Geometrically 

 Quadrable Area fitting this AbfcifTe, viz.* 



2ay' 1 -j- 5**7 -|- 1 . 



Area == * — - x V 2^ 7*. 



iSa 



Secondly, Let ACF 39 J be a TV/*^ 

 W^, AE its Axis, A the Vertex, and (B a) 

 the Latm ReElum. And let ADG be a Geo- 

 metrically irrational Curve, whofe Ordinate 

 BD cuts the Parabola in G* Let the AbfcifTe 



