J\4ifcellane'a Curio fa. 95 



ly from hence,that / determin the center of the 

 Circle^ by the Axis^ and he by a Parallel to the 

 Axis ♦ and that 1 always have four Affirmative 

 Roots on the right fide the Axis^ which he has fomc~ 

 times on the right fide , and fornetimes on the left* 



As for cubical Equations, they are to be 

 reduc'd to Biquadratical ones, before they can 

 be conftru&ed by the fame General Rule ^ 

 which is done by multiplying the Equation 

 proposed by its Root ^, whence arifes a Bi- 

 quadratick Equation, in which the laft Term 

 or r, is wanting. Wherefore taking away the 

 fecond Term, and finding the Center £, the 

 line E O is the Radius of the Circle *, vf%. 

 When a r is r=J <?, and the whole fifth Term 

 In the new Equation, arifes from the taking 

 away of the fecond Term. Let this Equation 

 be proposed to be conftru&ed. 



Example IL 



Z 1 »- bf +ap% "Yaaq !=3 

 which multiply'd into ^, becomes 



3 4 b ^ 'Yapf "Yaaq^ sa o. 

 To take away the fecond Term, put 



xi\*j bz-i^ and then will 



x*^bx 3 -Yi'bbx* 'l-i^+ s I T fc ± sa+^ 

 U bx* -4 b*x*~* ?,b*x~ 6 \ b* i=s ^ b? 

 r Yapx % +" \ abpx~\~ t \apb* 53 ~Yap\* 

 "b aa q x aaqb pa 



Now In this new Equation, the half Coef- 

 ficient (of the third Term) divided by 



# Jl? j£j p, is to be ufed inftead of * p ; and 



