Mtfcettanea Curio fa. %6j 



Here we may obferve, that in the Room of 

 the general Root, we may aaVantageoufly take 



y = f V 2 a — ' . - - if the quantity ^ be pretty 



large in refpect of Unity. As if the Equation 

 were 57 ~f* 20 jy 3 -1- 167^ — 682, the Loga- 

 rithm ofia~ 3. 1 348143 whofe Fifth part is 

 0.6269628, the Number anfwering is 4.236, 

 and the Number anfwering the Arithmetical 

 Complement 9.3730372 is 0.236, the half dif- 

 ference of thefe Numbers is 2 = y. 



But if in the aforegoing Equation the Signs are 

 alternately Affirmative and Negative ; or which 

 is the fame thing if the Series be after this 

 manner, 



I — nn i*—nn q-~-nn 



n y-i- — < n y3 H- ■ X ~ — n y S -h 



' 2x3 2x3 4*5* 



I— n n Q—nn xs—nn „ , rr 



X X ' • • ny7 H- &c.z?z 4* 



2X3 4x5 6x7 

 The Root of it will be equal to 



ya-h^ aa—i 

 i ^ . 



— 1 -f- — — , or 



or 



or 



Here 



