94 Mifcettanea Curiofd. 



Members of which that have the Sign 4? are 

 to be fet off to the left Hand from the Axis, 

 and thofe that have the Sign — to the Right - 7 

 in order to find the Center of the Circle re- 

 quired for Conftru&ion, whofe Interfe&ions 

 with the Parabola (letting fall perpendiculars 

 to the Axis) may give all the true Roots x^ 

 iiamely, the Affirmative z>ues on the Right 

 fide of the Axis, and the Negative ones on 

 the Left. But now, when x — |4 t=i ^, then 

 drawing a Line Parallel to the Axis on the 

 right fide of it, and at the diftance of the 

 Perpendiculars terminated on this Parallel, 

 will denote all the enquired Roots |, the Af- 

 firmative ones on the right fide, and the Ne^- 

 gative ones on the Left. As for what relates 

 to the Radius of the Circle, it is had, by ad- 

 ding the Negative, or taking away the Af- 

 firmative parts of the fifth Term divided by 

 aa, from the Square of the Line A E, drawn 

 from the Center E found, to A the Vortex of 

 the Parabola *, which is moftly done, by ta- 

 king iuftead of AE, the Line EO which is 

 terminated at O the Interfedion of the Para- 

 bola, and the fore-mentioned Parallel } for the 

 Square of this compiehends all the parts of 

 the fifth Term, brought into the new Equa- 

 tion upon the cafting out of the fecond Term, 

 as is eafily proved : And it remains only, that 

 the Square of EO be increafed, if it be — r, 

 in the Equation, or diminifli'd, if it be "i"r 7 by 

 the addition or fubftraction of the Reftangle 

 a r i from whence the Radius of the Circle de- 

 lired, iscompos'd. This Method of in veftiga* 

 ting M. Baker's central Rule, is eafie and free 

 from all Cautions } and the difference arifes on- 

 ly 



