JMtfceUanea Curiofa. 93 



do exceed, or come fhort of the fought Root 

 by the given difference £ b. But fince in 

 things of this kind, Examples do more than 

 Precepts, let us propofe one or two Equati- 

 ons to be conftru&ed. 



Example L 



put x — ^£=2?, and then will 



x'~U % b +&xb*~-%b* & and 

 xt^bxHi b*x*-«*tib*x + z f 6 b 4 », z* 



Hence it follows, that 



*+— Jw* Y^x* — £ t b'x -h , 4* S3 3* 



— apx % Yhapbx'-^\apb -~-apzj* 



The Sum of all thefe is a new Equation 

 wanting the fecond Term, and which confe- 

 quently may be conftru&ed by Cartes'* Rule, 

 by taking inftead of i />, half the Coefficient 

 of the third Term, divided by a or the Para- 

 meter, that is -Y, ^— *- If h and inftead of |& 

 a 



half the Coefficient of the^fourth Term, divi- 

 ded by aa 7 that is, +1V £ ^$f? Tne 



Mem- 



