8 a Mifcettanea Curio fa • 



trary to the Sign of the difference b t Whence 

 'twill be plain, whether it muft be ~\ <?, or —e • 

 and confequently whether a be taken greater 

 or lefs than the True Root. Now the quan- 

 tity e is .=1**-" \l \ss— bt^ when b and * have the 

 t 



fame Sign, but when the Signs are diffe- 

 rent, e is = V ijrhk— j j. But after it Is 

 t 



found that it will be ~e, let the Powers e 7 e\ 

 and e% a-c. in the affirmative Members of 

 the Equation be made Negative, and in the 

 Negative be made Affirmative ; that is, let 

 them be written with the contrary Sign. On 

 the other hand, if it be + e (let thofe fore- 

 mention'd Powers) be made Affirmative in the 

 Affirmative, and Negative in the Negative 

 Members of the Equation. 



Nowwe have in this Example of ours,i045c* 

 inftead of the Refolvend ioo©o, or £=-^450, 

 whence it's plain, that a is taken greater than 

 theTruth,and confequently,that 'tis— e.Hence 

 the Equation comes to be, 10450— 4015 e -|- 

 597 ee— 4e 3 +e*zz 10000. That is,45o— 401 5 e 

 +597^ a o - 7 and fo 450 a 401-5 e —597 e e f 



or bzz s e — . /e^whofe Root e s=i Jj— \/%ss~ bty 



— f 

 or — — V— ~; that is in the prefent cafe* 



g a 2007 * ^31 6l 4- o6 i f rom whence we have 

 597 



the Root fought, 9, 885, which is near the 

 Truth. But then fubftituting this for a fe- 



cond 



